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From operator theory to orthogonal polynomials, combinatorics, and number theory : a volume in honor of Lance Littlejohn's 70th birthday / / Fritz Gesztesy, Andrei Martinez-Finkelshtein, editors
| From operator theory to orthogonal polynomials, combinatorics, and number theory : a volume in honor of Lance Littlejohn's 70th birthday / / Fritz Gesztesy, Andrei Martinez-Finkelshtein, editors |
| Pubbl/distr/stampa | Cham, Switzerland : , : Birkhäuser, , [2021] |
| Descrizione fisica | 1 online resource (388 pages) |
| Disciplina | 515.724 |
| Collana | Operator theory, advances and applications |
| Soggetto topico |
Operator theory
Spectral theory (Mathematics) Teoria espectral (Matemàtica) Teoria d'operadors |
| Soggetto genere / forma |
Homenatges
Llibres electrònics |
| ISBN | 3-030-75425-1 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- References -- Contents -- Compositions and Chebyshev Polynomials -- 1 Introduction -- 2 Proof of Theorem 1 -- 3 Proof of Theorem 2 -- 4 Proof of Theorem 3 -- 5 Proofs of Theorems 4 and Corollary 1 -- 6 Proof of Theorem 6 and Corollaries -- 7 Further Topics -- References -- Non-negative Extensions of Hamiltonian Systems -- 1 Introduction -- 2 Preliminaries -- 3 The Friedrichs Extension TF of T0 -- 4 Characterisation of Non-negative Extensions TB -- 5 Example: A Fourth Order ODE -- References -- On Simon's Hausdorff Dimension Conjecture -- 1 Introduction -- 2 A Weak Version of Simon's Hausdorff Dimension Conjecture -- 2.1 A Basic Estimate -- 2.2 Prüfer Variables -- 2.3 Unboundedness and Infinite Energy -- 2.4 Proof of Theorem 1.1 and Corollary 1.2 -- References -- Hypergeometric Functions over Finite Fields and Modular Forms: A Survey and New Conjectures -- 1 Introduction -- 2 Preliminaries -- 3 Weight Two Newforms -- 4 Higher Weight Newforms -- 4.1 The Conjectures of Rodriguez Villegas -- 4.2 Conjectures of Evans -- 4.3 Relations with Ramanujan's τ-Function -- 4.4 Other Relations -- 5 Trace Formulas for Hecke Operators -- 6 New Relations -- References -- Ballistic Transport for Periodic Jacobi Operators on Zd -- 1 Introduction -- 2 Decomposition of J -- 3 Ballistic Motion -- References -- Perspectives on General Left-Definite Theory -- 1 Introduction -- 1.1 Notation -- 2 Sturm-Liouville Operators -- 3 Left-Definite Theory -- 4 Comparison with BKV Semi-Bounded Form Theory -- 5 Scale of Spaces from Singular Perturbation Theory -- 6 Perturbation Setup -- Appendix: Extension Theory -- References -- Sampling in the Range of the Analysis Operator of a Continuous Frame Having Unitary Structure -- 1 Statement of the Problem -- 2 Some Preliminaries -- 2.1 Continuous and Discrete Frames.
2.2 Discrete Convolution Systems and Frames of Translates -- 3 The Subspace of L2(G) Where the Sampling Is Carried Out -- 3.1 Sampling Data as a Filtering Process -- 4 The Main Sampling Result and Consequences -- 4.1 Sampling at a Subgroup R with Finite Index in H -- 4.2 Additional Notes and Remarks -- 4.3 The Case of a Semi-Direct Product of Groups -- Euclidean Motion Group and Crystallographic Subgroups -- 4.4 Some Final Comments -- References -- An Extension of the Coherent Pair of Measures of the Second Kind on the Unit Circle -- 1 Introduction -- 2 Coherent Pairs of Measures of the Second Kind -- 2.1 The Case dμ1(z) = 12πi zdz -- 2.2 The Case dμ1(z)=1|z-u|212πi zdz, u≠0 -- 2.3 A General Case -- 3 Hessenberg Matrices -- 4 Sobolev OPUC -- References -- Bessel-Type Operators and a Refinement of Hardy's Inequality -- 1 Introduction -- 2 An Exactly Solvable, Strongly Singular, Periodic Schrödinger Operator -- 3 A Refinement of Hardy's Inequality -- A.1 The Weyl-Titchmarsh-Kodaira m-Function Associated with Ts,F -- B.1 Remarks on Hardy-Type Inequalities -- References -- Spectral Theory of Exceptional Hermite Polynomials -- 1 Introduction -- 2 Some Spectral Theory -- 3 The Formal Theory of Exceptional Hermite Polynomials -- 3.1 Multi-Step Factorization Chains -- 3.2 The Norm Identity -- 4 The L2 Theory -- References -- Occupation Time for Classical and Quantum Walks -- 1 Introduction -- 2 A Look at the Classical Discrete Case -- 3 Occupation Times for Quantum Walks -- 4 A Look at the Hadamard Walk -- 5 The Walk with a Constant Coin -- 6 The Even Verblunsky Coefficients Tend to One -- 7 A Look at the Riesz Walk -- References -- On Foci of Ellipses Inscribed in Cyclic Polygons -- 1 Introduction -- 2 Background and Notation -- 3 The Quadrilateral Case -- 4 The Hexagon Case -- 5 The Pentagon Case -- References -- A Differential Analogue of Favard's Theorem. 1 Introduction -- 2 The Main Theory -- 2.1 Fundamental Results -- 2.2 Relation to Existing Work -- 3 Examples -- 3.1 Jacobi -- 3.2 Hermite -- 3.3 Generalized Hermite -- 3.4 Laguerre -- 3.5 Generalized Laguerre -- 3.6 Continuous Hahn -- 4 Computational Considerations -- 4.1 Computation of Expansion Coefficients -- 4.2 Approximation Theory on the Real Line -- 5 Periodic Bases Arising from Discrete Orthogonal Polynomials -- 6 Challenges and Outlook -- 6.1 Transform Pairs -- 6.2 Location of Zeros -- 6.3 Sobolev Orthogonality -- 6.4 Beyond the Canonical Form -- 6.5 A Freudian Slip-Why We Need More Polynomials -- References -- Intrinsic Properties of Strongly Continuous Fractional Semigroups in Normed Vector Spaces -- 1 Introduction -- 2 Background -- 2.1 Logarithmic Norms on Banach Spaces -- 2.2 Logarithmic Norm Bounds of Classical Semigroups -- 3 Fractional Semigroups -- 3.1 Mittag-Leffler and Wright Functions -- 3.2 Logarithmic Norm Bounds of Fractional Semigroups -- 4 Conclusions and Future Endeavors -- References -- The BFK-gluing Formula for Zeta-determinants and the Conformal Rescaling of a Metric -- 1 Introduction -- 2 The Metric Rescaling and Invariance Theory -- 3 Proof of Theorem 1 -- 4 Conclusions -- References -- New Representations of the Laguerre-Sobolev and Jacobi-Sobolev Orthogonal Polynomials -- 1 Introduction -- 2 Two Representations of the Laguerre-Sobolev Polynomials -- 3 New Representations of the Jacobi-Sobolev Polynomials -- References -- Compactness, or Lack Thereof, for the Harmonic Double Layer -- 1 Compactness of the Harmonic Double Layer Operator on Lebesgue Spaces -- 2 Failure of Compactness for the Harmonic Double Layer Operator -- References -- Weighted Chebyshev Polynomials on Compact Subsets of the Complex Plane -- 1 Introduction -- 2 Existence, Uniqueness, and Characterization of Weighted Chebyshev Polynomials. 3 Bounds for Weighted Chebyshev Polynomials -- References -- The Eichler Integral of E2 and q-brackets of t-hook Functions -- 1 Introduction and Statement of Results -- 2 Nuts and Bolts -- 2.1 A Formula of Han -- 2.2 A Formula of Berndt -- 3 Proofs of Results -- 4 Some Examples -- References. |
| Record Nr. | UNISA-996466561303316 |
| Cham, Switzerland : , : Birkhäuser, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
From operator theory to orthogonal polynomials, combinatorics, and number theory : a volume in honor of Lance Littlejohn's 70th birthday / / Fritz Gesztesy, Andrei Martinez-Finkelshtein, editors
| From operator theory to orthogonal polynomials, combinatorics, and number theory : a volume in honor of Lance Littlejohn's 70th birthday / / Fritz Gesztesy, Andrei Martinez-Finkelshtein, editors |
| Pubbl/distr/stampa | Cham, Switzerland : , : Birkhäuser, , [2021] |
| Descrizione fisica | 1 online resource (388 pages) |
| Disciplina | 515.724 |
| Collana | Operator theory, advances and applications |
| Soggetto topico |
Operator theory
Spectral theory (Mathematics) Teoria espectral (Matemàtica) Teoria d'operadors |
| Soggetto genere / forma |
Homenatges
Llibres electrònics |
| ISBN | 3-030-75425-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- References -- Contents -- Compositions and Chebyshev Polynomials -- 1 Introduction -- 2 Proof of Theorem 1 -- 3 Proof of Theorem 2 -- 4 Proof of Theorem 3 -- 5 Proofs of Theorems 4 and Corollary 1 -- 6 Proof of Theorem 6 and Corollaries -- 7 Further Topics -- References -- Non-negative Extensions of Hamiltonian Systems -- 1 Introduction -- 2 Preliminaries -- 3 The Friedrichs Extension TF of T0 -- 4 Characterisation of Non-negative Extensions TB -- 5 Example: A Fourth Order ODE -- References -- On Simon's Hausdorff Dimension Conjecture -- 1 Introduction -- 2 A Weak Version of Simon's Hausdorff Dimension Conjecture -- 2.1 A Basic Estimate -- 2.2 Prüfer Variables -- 2.3 Unboundedness and Infinite Energy -- 2.4 Proof of Theorem 1.1 and Corollary 1.2 -- References -- Hypergeometric Functions over Finite Fields and Modular Forms: A Survey and New Conjectures -- 1 Introduction -- 2 Preliminaries -- 3 Weight Two Newforms -- 4 Higher Weight Newforms -- 4.1 The Conjectures of Rodriguez Villegas -- 4.2 Conjectures of Evans -- 4.3 Relations with Ramanujan's τ-Function -- 4.4 Other Relations -- 5 Trace Formulas for Hecke Operators -- 6 New Relations -- References -- Ballistic Transport for Periodic Jacobi Operators on Zd -- 1 Introduction -- 2 Decomposition of J -- 3 Ballistic Motion -- References -- Perspectives on General Left-Definite Theory -- 1 Introduction -- 1.1 Notation -- 2 Sturm-Liouville Operators -- 3 Left-Definite Theory -- 4 Comparison with BKV Semi-Bounded Form Theory -- 5 Scale of Spaces from Singular Perturbation Theory -- 6 Perturbation Setup -- Appendix: Extension Theory -- References -- Sampling in the Range of the Analysis Operator of a Continuous Frame Having Unitary Structure -- 1 Statement of the Problem -- 2 Some Preliminaries -- 2.1 Continuous and Discrete Frames.
2.2 Discrete Convolution Systems and Frames of Translates -- 3 The Subspace of L2(G) Where the Sampling Is Carried Out -- 3.1 Sampling Data as a Filtering Process -- 4 The Main Sampling Result and Consequences -- 4.1 Sampling at a Subgroup R with Finite Index in H -- 4.2 Additional Notes and Remarks -- 4.3 The Case of a Semi-Direct Product of Groups -- Euclidean Motion Group and Crystallographic Subgroups -- 4.4 Some Final Comments -- References -- An Extension of the Coherent Pair of Measures of the Second Kind on the Unit Circle -- 1 Introduction -- 2 Coherent Pairs of Measures of the Second Kind -- 2.1 The Case dμ1(z) = 12πi zdz -- 2.2 The Case dμ1(z)=1|z-u|212πi zdz, u≠0 -- 2.3 A General Case -- 3 Hessenberg Matrices -- 4 Sobolev OPUC -- References -- Bessel-Type Operators and a Refinement of Hardy's Inequality -- 1 Introduction -- 2 An Exactly Solvable, Strongly Singular, Periodic Schrödinger Operator -- 3 A Refinement of Hardy's Inequality -- A.1 The Weyl-Titchmarsh-Kodaira m-Function Associated with Ts,F -- B.1 Remarks on Hardy-Type Inequalities -- References -- Spectral Theory of Exceptional Hermite Polynomials -- 1 Introduction -- 2 Some Spectral Theory -- 3 The Formal Theory of Exceptional Hermite Polynomials -- 3.1 Multi-Step Factorization Chains -- 3.2 The Norm Identity -- 4 The L2 Theory -- References -- Occupation Time for Classical and Quantum Walks -- 1 Introduction -- 2 A Look at the Classical Discrete Case -- 3 Occupation Times for Quantum Walks -- 4 A Look at the Hadamard Walk -- 5 The Walk with a Constant Coin -- 6 The Even Verblunsky Coefficients Tend to One -- 7 A Look at the Riesz Walk -- References -- On Foci of Ellipses Inscribed in Cyclic Polygons -- 1 Introduction -- 2 Background and Notation -- 3 The Quadrilateral Case -- 4 The Hexagon Case -- 5 The Pentagon Case -- References -- A Differential Analogue of Favard's Theorem. 1 Introduction -- 2 The Main Theory -- 2.1 Fundamental Results -- 2.2 Relation to Existing Work -- 3 Examples -- 3.1 Jacobi -- 3.2 Hermite -- 3.3 Generalized Hermite -- 3.4 Laguerre -- 3.5 Generalized Laguerre -- 3.6 Continuous Hahn -- 4 Computational Considerations -- 4.1 Computation of Expansion Coefficients -- 4.2 Approximation Theory on the Real Line -- 5 Periodic Bases Arising from Discrete Orthogonal Polynomials -- 6 Challenges and Outlook -- 6.1 Transform Pairs -- 6.2 Location of Zeros -- 6.3 Sobolev Orthogonality -- 6.4 Beyond the Canonical Form -- 6.5 A Freudian Slip-Why We Need More Polynomials -- References -- Intrinsic Properties of Strongly Continuous Fractional Semigroups in Normed Vector Spaces -- 1 Introduction -- 2 Background -- 2.1 Logarithmic Norms on Banach Spaces -- 2.2 Logarithmic Norm Bounds of Classical Semigroups -- 3 Fractional Semigroups -- 3.1 Mittag-Leffler and Wright Functions -- 3.2 Logarithmic Norm Bounds of Fractional Semigroups -- 4 Conclusions and Future Endeavors -- References -- The BFK-gluing Formula for Zeta-determinants and the Conformal Rescaling of a Metric -- 1 Introduction -- 2 The Metric Rescaling and Invariance Theory -- 3 Proof of Theorem 1 -- 4 Conclusions -- References -- New Representations of the Laguerre-Sobolev and Jacobi-Sobolev Orthogonal Polynomials -- 1 Introduction -- 2 Two Representations of the Laguerre-Sobolev Polynomials -- 3 New Representations of the Jacobi-Sobolev Polynomials -- References -- Compactness, or Lack Thereof, for the Harmonic Double Layer -- 1 Compactness of the Harmonic Double Layer Operator on Lebesgue Spaces -- 2 Failure of Compactness for the Harmonic Double Layer Operator -- References -- Weighted Chebyshev Polynomials on Compact Subsets of the Complex Plane -- 1 Introduction -- 2 Existence, Uniqueness, and Characterization of Weighted Chebyshev Polynomials. 3 Bounds for Weighted Chebyshev Polynomials -- References -- The Eichler Integral of E2 and q-brackets of t-hook Functions -- 1 Introduction and Statement of Results -- 2 Nuts and Bolts -- 2.1 A Formula of Han -- 2.2 A Formula of Berndt -- 3 Proofs of Results -- 4 Some Examples -- References. |
| Record Nr. | UNINA-9910508462503321 |
| Cham, Switzerland : , : Birkhäuser, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The Fuglede-Putnam theory / / Mohammed Hichem Mortad
| The Fuglede-Putnam theory / / Mohammed Hichem Mortad |
| Autore | Mortad Mohammed Hichem <1978-> |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2022] |
| Descrizione fisica | 1 online resource (164 pages) |
| Disciplina | 515.724 |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico |
Operator theory
Spectral theory (Mathematics) Teoria d'operadors Teoria espectral (Matemàtica) |
| Soggetto genere / forma | Llibres electrònics |
| ISBN |
9783031177828
9783031177811 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910631078703321 |
Mortad Mohammed Hichem <1978->
|
||
| Cham, Switzerland : , : Springer, , [2022] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The Fuglede-Putnam theory / / Mohammed Hichem Mortad
| The Fuglede-Putnam theory / / Mohammed Hichem Mortad |
| Autore | Mortad Mohammed Hichem <1978-> |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2022] |
| Descrizione fisica | 1 online resource (164 pages) |
| Disciplina | 515.724 |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico |
Operator theory
Spectral theory (Mathematics) Teoria d'operadors Teoria espectral (Matemàtica) |
| Soggetto genere / forma | Llibres electrònics |
| ISBN |
9783031177828
9783031177811 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISA-996499870103316 |
|
Mortad Mohammed Hichem <1978->
|
||
| Cham, Switzerland : , : Springer, , [2022] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
A Guide to Spectral Theory [[electronic resource] ] : Applications and Exercises / / by Christophe Cheverry, Nicolas Raymond
| A Guide to Spectral Theory [[electronic resource] ] : Applications and Exercises / / by Christophe Cheverry, Nicolas Raymond |
| Autore | Cheverry Christophe |
| Edizione | [1st ed. 2021.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2021 |
| Descrizione fisica | 1 online resource (XX, 258 p. 2 illus.) |
| Disciplina | 515.7222 |
| Collana | Birkhäuser Advanced Texts Basler Lehrbücher |
| Soggetto topico |
Functional analysis
Differential equations Mathematical physics Functional Analysis Differential Equations Mathematical Physics Teoria espectral (Matemàtica) |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-030-67462-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Foreword -- Prolegomena -- Chapter 1: A First Look at Spectral Theory -- Chapter 2: Unbounded Operators -- Chapter 3: Spectrum -- Chapter 4: Compact Operators -- Chapter 5: Fredholm Theory -- Chapter 6:Spectrum of Self-Adjoint Operators -- Chapter 7: Hille-Yosida and Stone’s Theorems -- Chapter 8: About the Spectral Measure -- Chapter 9: Trace-class and Hilbert-Schmidt Operators -- Chapter 10: Selected Applications of the Functional Calculus -- Appendix A: Reminders of Functional Analysis -- Bibliography -- Index. |
| Record Nr. | UNISA-996466396203316 |
|
Cheverry Christophe
|
||
| Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2021 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
A Guide to Spectral Theory : Applications and Exercises / / by Christophe Cheverry, Nicolas Raymond
| A Guide to Spectral Theory : Applications and Exercises / / by Christophe Cheverry, Nicolas Raymond |
| Autore | Cheverry Christophe |
| Edizione | [1st ed. 2021.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2021 |
| Descrizione fisica | 1 online resource (XX, 258 p. 2 illus.) |
| Disciplina | 515.7222 |
| Collana | Birkhäuser Advanced Texts Basler Lehrbücher |
| Soggetto topico |
Functional analysis
Differential equations Mathematical physics Functional Analysis Differential Equations Mathematical Physics Teoria espectral (Matemàtica) |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-030-67462-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Foreword -- Prolegomena -- Chapter 1: A First Look at Spectral Theory -- Chapter 2: Unbounded Operators -- Chapter 3: Spectrum -- Chapter 4: Compact Operators -- Chapter 5: Fredholm Theory -- Chapter 6:Spectrum of Self-Adjoint Operators -- Chapter 7: Hille-Yosida and Stone’s Theorems -- Chapter 8: About the Spectral Measure -- Chapter 9: Trace-class and Hilbert-Schmidt Operators -- Chapter 10: Selected Applications of the Functional Calculus -- Appendix A: Reminders of Functional Analysis -- Bibliography -- Index. |
| Record Nr. | UNINA-9910483682903321 |
|
Cheverry Christophe
|
||
| Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2021 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Perturbation theory for linear operators : denseness and bases with applications / / Aref Jeribi
| Perturbation theory for linear operators : denseness and bases with applications / / Aref Jeribi |
| Autore | Jeribi Aref |
| Pubbl/distr/stampa | Singapore : , : Springer, , [2021] |
| Descrizione fisica | 1 online resource (523 pages) |
| Disciplina | 515.7246 |
| Soggetto topico |
Spectral theory (Mathematics)
Linear operators Teoria espectral (Matemàtica) Operadors lineals |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 981-16-2528-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- Introduction -- References -- Contents -- About the Author -- Symbols Description -- 1 Basic Notations and Results -- 1.1 Spaces and Operators -- 1.1.1 Vector and Normed Spaces -- 1.1.2 Operators on Quasi-Banach Spaces -- 1.1.3 Closed and Closable Operators -- 1.1.4 Adjoint Operator -- 1.1.5 Fredholm Operators -- 1.2 Some Notions of Spectral Theory -- 1.2.1 Closed Graph Theorem -- 1.2.2 Resolvent Set and Spectrum -- 1.2.3 Bounded Operators -- 1.2.4 Numerical Range -- 1.3 Inequalities -- 1.4 Closed Operators -- 1.4.1 Closed Operator Perturbations -- 1.4.2 A-Bounded, A-Closed, and A-Closable -- 1.5 Lebesgue-Dominated Convergence Theorem -- 1.6 Compact, Weakly Compact, Strictly Singular ... -- 1.6.1 Compact Operator -- 1.6.2 Weakly Compact Operator -- 1.6.3 Strictly Singular Operator -- 1.6.4 Discrete Operator -- 1.6.5 Ascent and Descent Operators -- 1.6.6 Riesz Operator -- 1.7 A-Compact Operators -- 1.8 Dunford-Pettis Property -- 1.9 The Jeribi Essential Spectrum -- 1.9.1 Definition -- 1.9.2 A Characterization of the Jeribi Essential Spectrum -- 1.10 Jordan Chain for an Operator and Multiplicities -- 1.11 Laurent Series Expansion of the Resolvent -- 1.12 Bases -- 1.12.1 Algebraic Bases (Hamel Bases) -- 1.12.2 On a Schauder Basis -- 1.13 Normal Operator -- 1.14 Positive Operators -- 1.15 Spectrum of the Sum of Two Operators -- 1.16 Notes and Remarks -- References -- 2 Analysis with Operators -- 2.1 Projections -- 2.1.1 Generalities -- 2.1.2 Orthogonal Projection -- 2.1.3 Spectral Projection -- 2.1.4 Sum of Spectral Projection -- 2.1.5 l2-Decomposition -- 2.2 Spectral Theory of Compact and Discrete Operators -- 2.2.1 Riesz-Schauder Theorem -- 2.2.2 Discrete Operators -- 2.3 Functions -- 2.3.1 Function of Finite Order -- 2.3.2 Function of Sine Type -- 2.3.3 Generating Function in L2(0, T) -- 2.4 Phragmén-Lindelöf Theorems.
2.5 Holomorphic Operator Functions -- 2.5.1 Spectrum and Multiplicities -- 2.5.2 Zeros of a Holomorphic Function -- 2.5.3 Determinant of Operator -- 2.6 Semigroup Theory -- 2.6.1 Definitions -- 2.6.2 Example -- 2.7 Concepts of Subordination and Fully Subordination -- 2.7.1 Concepts of Subordination -- 2.7.2 Concepts of Fully Subordination -- 2.8 Notes and Remarks -- References -- 3 Series of Complex Terms -- 3.1 Identity Results -- 3.1.1 Technical Results -- 3.1.2 Proof of Eq. (3.0.1) When (ak)k equiv1 -- 3.1.3 General Case -- 3.2 Duality Bracket -- 3.2.1 Proof of Eq. (3.2.1) When (ak)k equiv1 -- 3.2.2 Proof of Eq. (3.2.1) When (ak)k1 is Any Sequence in mathbbC -- 3.3 Notes and Remarks -- References -- 4 Carleman-Class -- 4.1 Singular Values -- 4.1.1 Singular Values of a Compact Operator -- 4.1.2 Polar Representation of a Bounded Operator -- 4.1.3 The Dimension of an Operator -- 4.1.4 The Schmidt Expansion of a Compact Operator -- 4.1.5 Some Properties of Singular Values -- 4.1.6 Intermediate Ideals Between F(X) and mathcalK(X) -- 4.2 Spectral Theory of Compact Operators -- 4.2.1 Quasi-Nilpotent Operator -- 4.2.2 Entire Function -- 4.3 Generalized Eigenvectors Associated with the Non-zero Eigenvalues -- 4.3.1 Holomorphic Function -- 4.3.2 Norm of the Resolvent -- 4.4 calCp Carleman-Class -- 4.4.1 Definition -- 4.4.2 The Resolvent Representation -- 4.4.3 Some Properties of calCp Carleman-Class -- 4.5 Fredholm Determinant -- 4.6 Notes and Remarks -- References -- 5 The Evolutionary Problem -- 5.1 Semigroups -- 5.1.1 Basic Elementary Properties of Semigroups -- 5.1.2 The Infinitesimal Generator of a Continuous Semigroup -- 5.1.3 Hille-Yosida Theorem -- 5.1.4 The Differentiability of the Semigroup -- 5.2 Fractional Operators -- 5.2.1 Dunford Integral -- 5.2.2 Fractional of Carleman-Class Operators. 5.3 Expansions on Generalized Eigenvectors of Operators in Hilbert Space -- 5.3.1 Hypotheses -- 5.3.2 Basic Properties -- 5.3.3 Representation of the Solutions -- 5.3.4 The Simple Case of an Operator with Nuclear Resolvent -- 5.3.5 The Limit Case of an Operator with an Almost Nuclear Resolvent -- 5.4 Notes and Remarks -- References -- 6 Completeness Criteria of the Space of Generalized Eigenvectors of Non-Self-Adjoint Operators -- 6.1 Keldysh Results -- 6.1.1 In Hilbert Space -- 6.1.2 In Banach Space -- 6.2 Denseness of the Generalized Eigenvectors of a Compact Operator or an Operator with Compact Resolvent -- 6.2.1 Subspace Attached to an Operator with Compact Resolvent -- 6.2.2 Completeness Criteria of the System of Generalized Eigenvectors of an Operator with Compact Resolvent -- 6.2.3 A Density Result of the Space Generated by the Generalized Eigenvectors of a Compact Operator -- 6.3 Completeness of the System of Root Subspaces -- 6.3.1 Riesz Projection -- 6.3.2 Root Subspaces -- 6.3.3 System of Subspaces -- 6.4 Notes and Remarks -- References -- 7 Bases on Hilbert and Banach Spaces -- 7.1 Some Notions on the Bases of a Vector Space -- 7.1.1 On a Schauder Basis -- 7.1.2 The Coefficient Functionals -- 7.2 Orthonormal Bases in Hilbert Space -- 7.3 Examples of Compact Operators -- 7.3.1 Finite-Rank Operator -- 7.3.2 Hilbert-Schmidt Operator -- 7.4 Equivalent Bases -- 7.4.1 Image of a Basis Under a Topological Isomorphism -- 7.4.2 Definitions -- 7.4.3 Characterization of Equivalent Bases -- 7.4.4 Near Bases -- 7.5 Hilbert Bases -- 7.6 Riesz Bases -- 7.6.1 On Riesz Bases in a Separable Hilbert Space -- 7.6.2 Riesz Basis of Jordan Chains -- 7.6.3 Basis Property of the Exponential Family -- 7.6.4 Hilbert-Schmidt Operators -- 7.6.5 Perturbation of Riesz Bases in a Separable Hilbert Space -- 7.6.6 Riesz Basis of Operator-Valued Functions. 7.6.7 Riesz Basis of Subspaces -- 7.7 mathcalL-Basis in L2(0,T) -- 7.8 Notes and Remarks -- References -- 8 On a Riesz Basis of Finite-Dimensional Invariant Subspaces -- 8.1 Location of the Spectrum -- 8.2 Riesz Basis -- 8.2.1 On a Riesz Basis of Finite-Dimensional Invariant Subspaces -- 8.2.2 A Large Gap in σ(G) Yields a Gap in σ(T) -- 8.2.3 Riesz Basis -- 8.2.4 Sum of Multiplicities -- 8.2.5 Spectral Riesz Basis of Subspaces -- 8.2.6 A Riesz Basis Associated to a Block Operator Matrix -- 8.2.7 Gap in the Spectrum Around the Imaginary Axis -- 8.3 The Evolutionary Equation -- 8.3.1 C0-Semigroup -- 8.3.2 Riesz Basis of Subspaces -- 8.3.3 Riesz Basis -- 8.4 Notes and Remarks -- References -- 9 Analytic Operators in Feki-Jeribi-Sfaxi's Sense -- 9.1 Family of Operators Dependent of Several Parameters -- 9.2 Invariance of the Closure -- 9.3 Eigenvalues -- 9.4 Eigenvectors -- 9.5 Notes and Remarks -- References -- 10 On a Schauder and Riesz Bases of Eigenvectors of an Analytic Operator -- 10.1 Completeness of the System of Root Vectors of T(ε) -- 10.1.1 In Banach Space -- 10.1.2 In Hilbert Space -- 10.2 On Riesz Bases in a Separable Hilbert Space -- 10.3 On a Finitely Spectral Riesz Basis of a Family of Non-normal Operators -- 10.3.1 Spectrum of T(ε) -- 10.3.2 Riesz Basis of Subspaces -- 10.4 Riesz Basis in L2(0, T) -- 10.5 Notes and Remarks -- References -- 11 On the Asymptotic Behavior of the Eigenvalues of an Analytic Operator in the Sense of Kato -- 11.1 Perturbation of T0 -- 11.2 Behavior of the Spectrum of Perturbed Operator T(ε) Under a Finite Rank Perturbation -- 11.2.1 Discrete Spectrum -- 11.2.2 Estimate Norm -- 11.2.3 Sum of Multiplicities of All Eigenvalues of T(ε)-Kr -- 11.3 Behavior of the Spectrum of Perturbed Operator T(ε) -- 11.3.1 Argument of the Function Dε(λ) -- 11.3.2 Sum of Multiplicities of All Eigenvalues of T(ε). 11.4 Notes and Remarks -- References -- 12 On the Basis Property of Root Vectors Related to a Non-self-adjoint Analytic Operator -- 12.1 Completeness of the System of Root Vectors of T(ε) -- 12.2 Basis with Parentheses of Root Vectors of T(ε) -- 12.2.1 Localization of the Spectrum of T(ε) -- 12.2.2 Basis with Parentheses -- 12.3 Notes and Remarks -- References -- 13 Perturbation Method for Sound Radiation by a Vibrating Plate in a Light Fluid -- 13.1 Perturbation Method for Sound Radiation by a Vibrating Plate in a Light Fluid -- 13.1.1 Position of the Problem -- 13.1.2 Open Questions Introduced in ch1313Filippi -- 13.1.3 Spectral Properties of the Operator T0 -- 13.1.4 Spectral Properties of the Resolvent of the Operator T0 -- 13.1.5 Compactness Results -- 13.1.6 Completeness of the System of Root Vectors -- 13.1.7 On a Riesz Basis in L2(-L,L) -- 13.2 Vibrating Plate in a Light Fluid -- 13.2.1 Elementary Results -- 13.2.2 Completeness Results -- 13.2.3 Basis with Parentheses -- 13.3 Notes and Remarks -- References -- 14 Gribov Operator in Bargmann Space -- 14.1 Finite Sum of Gribov Operators on Null Transverse Dimension (n=1) -- 14.2 Infinite Sum of Gribov Operators on Null Transverse Dimension (n=1) -- 14.2.1 Riesz Basis of Subspaces in the Case Where γ=1 -- 14.2.2 On the Asymptotic Behavior of the Eigenvalue of Gribov Operator in the Case Where γ=0 -- 14.2.3 Basis with Parentheses of Gribov Operator in the Bargmann Space in the Case Where γ=0 -- 14.3 Notes and Remarks -- References -- 15 Applications in Mathematical Physics and Mechanics -- 15.1 Time-Dependent Rectilinear Transport Equation -- 15.1.1 Resolvent and Spectrum of A -- 15.1.2 Distribution of the Eigenvalues of the Operator A -- 15.1.3 Differentiability of the Semigroup Generated by A -- 15.2 Behavior of Resolvent in the Case of the Lamé System. 15.2.1 Explicit Expression for the Operator A. |
| Record Nr. | UNISA-996466402103316 |
|
Jeribi Aref
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| Singapore : , : Springer, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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Perturbation theory for linear operators : denseness and bases with applications / / Aref Jeribi
| Perturbation theory for linear operators : denseness and bases with applications / / Aref Jeribi |
| Autore | Jeribi Aref |
| Pubbl/distr/stampa | Singapore : , : Springer, , [2021] |
| Descrizione fisica | 1 online resource (523 pages) |
| Disciplina | 515.7246 |
| Soggetto topico |
Spectral theory (Mathematics)
Linear operators Teoria espectral (Matemàtica) Operadors lineals |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 981-16-2528-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- Introduction -- References -- Contents -- About the Author -- Symbols Description -- 1 Basic Notations and Results -- 1.1 Spaces and Operators -- 1.1.1 Vector and Normed Spaces -- 1.1.2 Operators on Quasi-Banach Spaces -- 1.1.3 Closed and Closable Operators -- 1.1.4 Adjoint Operator -- 1.1.5 Fredholm Operators -- 1.2 Some Notions of Spectral Theory -- 1.2.1 Closed Graph Theorem -- 1.2.2 Resolvent Set and Spectrum -- 1.2.3 Bounded Operators -- 1.2.4 Numerical Range -- 1.3 Inequalities -- 1.4 Closed Operators -- 1.4.1 Closed Operator Perturbations -- 1.4.2 A-Bounded, A-Closed, and A-Closable -- 1.5 Lebesgue-Dominated Convergence Theorem -- 1.6 Compact, Weakly Compact, Strictly Singular ... -- 1.6.1 Compact Operator -- 1.6.2 Weakly Compact Operator -- 1.6.3 Strictly Singular Operator -- 1.6.4 Discrete Operator -- 1.6.5 Ascent and Descent Operators -- 1.6.6 Riesz Operator -- 1.7 A-Compact Operators -- 1.8 Dunford-Pettis Property -- 1.9 The Jeribi Essential Spectrum -- 1.9.1 Definition -- 1.9.2 A Characterization of the Jeribi Essential Spectrum -- 1.10 Jordan Chain for an Operator and Multiplicities -- 1.11 Laurent Series Expansion of the Resolvent -- 1.12 Bases -- 1.12.1 Algebraic Bases (Hamel Bases) -- 1.12.2 On a Schauder Basis -- 1.13 Normal Operator -- 1.14 Positive Operators -- 1.15 Spectrum of the Sum of Two Operators -- 1.16 Notes and Remarks -- References -- 2 Analysis with Operators -- 2.1 Projections -- 2.1.1 Generalities -- 2.1.2 Orthogonal Projection -- 2.1.3 Spectral Projection -- 2.1.4 Sum of Spectral Projection -- 2.1.5 l2-Decomposition -- 2.2 Spectral Theory of Compact and Discrete Operators -- 2.2.1 Riesz-Schauder Theorem -- 2.2.2 Discrete Operators -- 2.3 Functions -- 2.3.1 Function of Finite Order -- 2.3.2 Function of Sine Type -- 2.3.3 Generating Function in L2(0, T) -- 2.4 Phragmén-Lindelöf Theorems.
2.5 Holomorphic Operator Functions -- 2.5.1 Spectrum and Multiplicities -- 2.5.2 Zeros of a Holomorphic Function -- 2.5.3 Determinant of Operator -- 2.6 Semigroup Theory -- 2.6.1 Definitions -- 2.6.2 Example -- 2.7 Concepts of Subordination and Fully Subordination -- 2.7.1 Concepts of Subordination -- 2.7.2 Concepts of Fully Subordination -- 2.8 Notes and Remarks -- References -- 3 Series of Complex Terms -- 3.1 Identity Results -- 3.1.1 Technical Results -- 3.1.2 Proof of Eq. (3.0.1) When (ak)k equiv1 -- 3.1.3 General Case -- 3.2 Duality Bracket -- 3.2.1 Proof of Eq. (3.2.1) When (ak)k equiv1 -- 3.2.2 Proof of Eq. (3.2.1) When (ak)k1 is Any Sequence in mathbbC -- 3.3 Notes and Remarks -- References -- 4 Carleman-Class -- 4.1 Singular Values -- 4.1.1 Singular Values of a Compact Operator -- 4.1.2 Polar Representation of a Bounded Operator -- 4.1.3 The Dimension of an Operator -- 4.1.4 The Schmidt Expansion of a Compact Operator -- 4.1.5 Some Properties of Singular Values -- 4.1.6 Intermediate Ideals Between F(X) and mathcalK(X) -- 4.2 Spectral Theory of Compact Operators -- 4.2.1 Quasi-Nilpotent Operator -- 4.2.2 Entire Function -- 4.3 Generalized Eigenvectors Associated with the Non-zero Eigenvalues -- 4.3.1 Holomorphic Function -- 4.3.2 Norm of the Resolvent -- 4.4 calCp Carleman-Class -- 4.4.1 Definition -- 4.4.2 The Resolvent Representation -- 4.4.3 Some Properties of calCp Carleman-Class -- 4.5 Fredholm Determinant -- 4.6 Notes and Remarks -- References -- 5 The Evolutionary Problem -- 5.1 Semigroups -- 5.1.1 Basic Elementary Properties of Semigroups -- 5.1.2 The Infinitesimal Generator of a Continuous Semigroup -- 5.1.3 Hille-Yosida Theorem -- 5.1.4 The Differentiability of the Semigroup -- 5.2 Fractional Operators -- 5.2.1 Dunford Integral -- 5.2.2 Fractional of Carleman-Class Operators. 5.3 Expansions on Generalized Eigenvectors of Operators in Hilbert Space -- 5.3.1 Hypotheses -- 5.3.2 Basic Properties -- 5.3.3 Representation of the Solutions -- 5.3.4 The Simple Case of an Operator with Nuclear Resolvent -- 5.3.5 The Limit Case of an Operator with an Almost Nuclear Resolvent -- 5.4 Notes and Remarks -- References -- 6 Completeness Criteria of the Space of Generalized Eigenvectors of Non-Self-Adjoint Operators -- 6.1 Keldysh Results -- 6.1.1 In Hilbert Space -- 6.1.2 In Banach Space -- 6.2 Denseness of the Generalized Eigenvectors of a Compact Operator or an Operator with Compact Resolvent -- 6.2.1 Subspace Attached to an Operator with Compact Resolvent -- 6.2.2 Completeness Criteria of the System of Generalized Eigenvectors of an Operator with Compact Resolvent -- 6.2.3 A Density Result of the Space Generated by the Generalized Eigenvectors of a Compact Operator -- 6.3 Completeness of the System of Root Subspaces -- 6.3.1 Riesz Projection -- 6.3.2 Root Subspaces -- 6.3.3 System of Subspaces -- 6.4 Notes and Remarks -- References -- 7 Bases on Hilbert and Banach Spaces -- 7.1 Some Notions on the Bases of a Vector Space -- 7.1.1 On a Schauder Basis -- 7.1.2 The Coefficient Functionals -- 7.2 Orthonormal Bases in Hilbert Space -- 7.3 Examples of Compact Operators -- 7.3.1 Finite-Rank Operator -- 7.3.2 Hilbert-Schmidt Operator -- 7.4 Equivalent Bases -- 7.4.1 Image of a Basis Under a Topological Isomorphism -- 7.4.2 Definitions -- 7.4.3 Characterization of Equivalent Bases -- 7.4.4 Near Bases -- 7.5 Hilbert Bases -- 7.6 Riesz Bases -- 7.6.1 On Riesz Bases in a Separable Hilbert Space -- 7.6.2 Riesz Basis of Jordan Chains -- 7.6.3 Basis Property of the Exponential Family -- 7.6.4 Hilbert-Schmidt Operators -- 7.6.5 Perturbation of Riesz Bases in a Separable Hilbert Space -- 7.6.6 Riesz Basis of Operator-Valued Functions. 7.6.7 Riesz Basis of Subspaces -- 7.7 mathcalL-Basis in L2(0,T) -- 7.8 Notes and Remarks -- References -- 8 On a Riesz Basis of Finite-Dimensional Invariant Subspaces -- 8.1 Location of the Spectrum -- 8.2 Riesz Basis -- 8.2.1 On a Riesz Basis of Finite-Dimensional Invariant Subspaces -- 8.2.2 A Large Gap in σ(G) Yields a Gap in σ(T) -- 8.2.3 Riesz Basis -- 8.2.4 Sum of Multiplicities -- 8.2.5 Spectral Riesz Basis of Subspaces -- 8.2.6 A Riesz Basis Associated to a Block Operator Matrix -- 8.2.7 Gap in the Spectrum Around the Imaginary Axis -- 8.3 The Evolutionary Equation -- 8.3.1 C0-Semigroup -- 8.3.2 Riesz Basis of Subspaces -- 8.3.3 Riesz Basis -- 8.4 Notes and Remarks -- References -- 9 Analytic Operators in Feki-Jeribi-Sfaxi's Sense -- 9.1 Family of Operators Dependent of Several Parameters -- 9.2 Invariance of the Closure -- 9.3 Eigenvalues -- 9.4 Eigenvectors -- 9.5 Notes and Remarks -- References -- 10 On a Schauder and Riesz Bases of Eigenvectors of an Analytic Operator -- 10.1 Completeness of the System of Root Vectors of T(ε) -- 10.1.1 In Banach Space -- 10.1.2 In Hilbert Space -- 10.2 On Riesz Bases in a Separable Hilbert Space -- 10.3 On a Finitely Spectral Riesz Basis of a Family of Non-normal Operators -- 10.3.1 Spectrum of T(ε) -- 10.3.2 Riesz Basis of Subspaces -- 10.4 Riesz Basis in L2(0, T) -- 10.5 Notes and Remarks -- References -- 11 On the Asymptotic Behavior of the Eigenvalues of an Analytic Operator in the Sense of Kato -- 11.1 Perturbation of T0 -- 11.2 Behavior of the Spectrum of Perturbed Operator T(ε) Under a Finite Rank Perturbation -- 11.2.1 Discrete Spectrum -- 11.2.2 Estimate Norm -- 11.2.3 Sum of Multiplicities of All Eigenvalues of T(ε)-Kr -- 11.3 Behavior of the Spectrum of Perturbed Operator T(ε) -- 11.3.1 Argument of the Function Dε(λ) -- 11.3.2 Sum of Multiplicities of All Eigenvalues of T(ε). 11.4 Notes and Remarks -- References -- 12 On the Basis Property of Root Vectors Related to a Non-self-adjoint Analytic Operator -- 12.1 Completeness of the System of Root Vectors of T(ε) -- 12.2 Basis with Parentheses of Root Vectors of T(ε) -- 12.2.1 Localization of the Spectrum of T(ε) -- 12.2.2 Basis with Parentheses -- 12.3 Notes and Remarks -- References -- 13 Perturbation Method for Sound Radiation by a Vibrating Plate in a Light Fluid -- 13.1 Perturbation Method for Sound Radiation by a Vibrating Plate in a Light Fluid -- 13.1.1 Position of the Problem -- 13.1.2 Open Questions Introduced in ch1313Filippi -- 13.1.3 Spectral Properties of the Operator T0 -- 13.1.4 Spectral Properties of the Resolvent of the Operator T0 -- 13.1.5 Compactness Results -- 13.1.6 Completeness of the System of Root Vectors -- 13.1.7 On a Riesz Basis in L2(-L,L) -- 13.2 Vibrating Plate in a Light Fluid -- 13.2.1 Elementary Results -- 13.2.2 Completeness Results -- 13.2.3 Basis with Parentheses -- 13.3 Notes and Remarks -- References -- 14 Gribov Operator in Bargmann Space -- 14.1 Finite Sum of Gribov Operators on Null Transverse Dimension (n=1) -- 14.2 Infinite Sum of Gribov Operators on Null Transverse Dimension (n=1) -- 14.2.1 Riesz Basis of Subspaces in the Case Where γ=1 -- 14.2.2 On the Asymptotic Behavior of the Eigenvalue of Gribov Operator in the Case Where γ=0 -- 14.2.3 Basis with Parentheses of Gribov Operator in the Bargmann Space in the Case Where γ=0 -- 14.3 Notes and Remarks -- References -- 15 Applications in Mathematical Physics and Mechanics -- 15.1 Time-Dependent Rectilinear Transport Equation -- 15.1.1 Resolvent and Spectrum of A -- 15.1.2 Distribution of the Eigenvalues of the Operator A -- 15.1.3 Differentiability of the Semigroup Generated by A -- 15.2 Behavior of Resolvent in the Case of the Lamé System. 15.2.1 Explicit Expression for the Operator A. |
| Record Nr. | UNINA-9910494553603321 |
|
Jeribi Aref
|
||
| Singapore : , : Springer, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Schrödinger operators, spectral analysis and number theory : in memory of Erik Balslev / / Sergio Albeverio, Anindita Balslev, Ricardo Weder, editors
| Schrödinger operators, spectral analysis and number theory : in memory of Erik Balslev / / Sergio Albeverio, Anindita Balslev, Ricardo Weder, editors |
| Edizione | [1st ed. 2021.] |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2021] |
| Descrizione fisica | 1 online resource (XXXII, 294 p. 32 illus., 13 illus. in color.) |
| Disciplina | 515.7222 |
| Collana | Springer Proceedings in Mathematics and Statistics |
| Soggetto topico |
Spectral theory (Mathematics)
Number theory Teoria espectral (Matemàtica) Teoria de nombres |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-030-68490-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | S. Albeverio and R. Weder, Introduction to the scientific contributions in the book -- S. Albeverio and I. Karabash, Asymptotics of random resonances generated by a point process of delta-interactions -- M. S. Ashbaugh, F. Gesztesy, L. Hermi, K. Kirsten, L. Littlejohn and H. Tossounian, Green’s function and Euler’s formula for ζ(2n) -- P. Bérard and B. Helffer, On Courant’s nodal domain property for linear combinations of eigenfunctions -- Part II: A. Boutet de Monvel and L. Zielinski, Asymptotic behavior of large eigenvalues of the two-photon Rabi model -- J.-Michel Combes and P. Hislop, Some remarks on spectral averaging and the local density of states for random Schrödinger operators on L²(ℝd) -- R. Froese and I. Herbst, Resonances in the one dimensional Stark effect in the limit of small field -- P. Kurasov and J. Muller, On the spectral gap for networks of beams -- K. Nicholas Leibovic, Some notes in the context of binocular space perception -- T. Paul, Symbolic calculus for singular curve operators -- Y. N. Petridis and M. S. Risager, Higher order deformations of hyperbolic spectra -- S. K. Sekatskii, On the generalized Li’s criterion equivalent to the Riemann hypothesis and its first applications -- M. Spreafico and A. Zaccagnini, Regularizing infinite products by the asymptotics of finite products -- R. Weder, Trace maps under weak regularity assumptions. |
| Record Nr. | UNINA-9910483915303321 |
| Cham, Switzerland : , : Springer, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Schrödinger operators, spectral analysis and number theory : in memory of Erik Balslev / / Sergio Albeverio, Anindita Balslev, Ricardo Weder, editors
| Schrödinger operators, spectral analysis and number theory : in memory of Erik Balslev / / Sergio Albeverio, Anindita Balslev, Ricardo Weder, editors |
| Edizione | [1st ed. 2021.] |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2021] |
| Descrizione fisica | 1 online resource (XXXII, 294 p. 32 illus., 13 illus. in color.) |
| Disciplina | 515.7222 |
| Collana | Springer Proceedings in Mathematics and Statistics |
| Soggetto topico |
Spectral theory (Mathematics)
Number theory Teoria espectral (Matemàtica) Teoria de nombres |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-030-68490-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | S. Albeverio and R. Weder, Introduction to the scientific contributions in the book -- S. Albeverio and I. Karabash, Asymptotics of random resonances generated by a point process of delta-interactions -- M. S. Ashbaugh, F. Gesztesy, L. Hermi, K. Kirsten, L. Littlejohn and H. Tossounian, Green’s function and Euler’s formula for ζ(2n) -- P. Bérard and B. Helffer, On Courant’s nodal domain property for linear combinations of eigenfunctions -- Part II: A. Boutet de Monvel and L. Zielinski, Asymptotic behavior of large eigenvalues of the two-photon Rabi model -- J.-Michel Combes and P. Hislop, Some remarks on spectral averaging and the local density of states for random Schrödinger operators on L²(ℝd) -- R. Froese and I. Herbst, Resonances in the one dimensional Stark effect in the limit of small field -- P. Kurasov and J. Muller, On the spectral gap for networks of beams -- K. Nicholas Leibovic, Some notes in the context of binocular space perception -- T. Paul, Symbolic calculus for singular curve operators -- Y. N. Petridis and M. S. Risager, Higher order deformations of hyperbolic spectra -- S. K. Sekatskii, On the generalized Li’s criterion equivalent to the Riemann hypothesis and its first applications -- M. Spreafico and A. Zaccagnini, Regularizing infinite products by the asymptotics of finite products -- R. Weder, Trace maps under weak regularity assumptions. |
| Record Nr. | UNISA-996466412103316 |
| Cham, Switzerland : , : Springer, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
