Info
- Utilizzare la checkbox di selezione a fianco di ciascun documento per attivare le funzionalità di stampa, invio email, download nei formati disponibili del (i) record.
Continued fractions : from analytic number theory to constructive approximation : a volume in honor of L.J. Lange : continued fractions, from analytic number theory to constructive approximation, May 20-23, 1998, University of Missouri-Columbia / / Bruce C. Berndt, Fritz Gesztesy, editors
| Continued fractions : from analytic number theory to constructive approximation : a volume in honor of L.J. Lange : continued fractions, from analytic number theory to constructive approximation, May 20-23, 1998, University of Missouri-Columbia / / Bruce C. Berndt, Fritz Gesztesy, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1999] |
| Descrizione fisica | 1 online resource (402 p.) |
| Disciplina | 515/.243 |
| Collana | Contemporary mathematics |
| Soggetto topico | Continued fractions |
| Soggetto genere / forma | Electronic books. |
| ISBN |
0-8218-7827-1
0-8218-1200-9 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface and Dedication""; ""List of Participants""; ""Continued fractions and orthogonal polynomials""; ""The problems submitted by Ramanujan to the Journal of the Indian Mathematical Society""; ""Some examples of moment preserving approximation""; ""Relations between certain symmetric strong Stieltjes distributions""; ""Estimates of the rate of convergence for certain quadrature formulas on the half-line""; ""Wavelets by orthogonal rational kernels""; ""On the explicit evaluations of the Rogers-Ramanujan continued fraction""
""Absence of phase transitions in modified two-component plasmas: The analytic theory of continued fractions in statistical mechanics""""Some continued fractions related to elliptic functions""; ""Asymptotics of Stieltjes continued fraction coefficients and applications to Whittaker functions""; ""A generalization of Van Vleck's theorem and more on complex continued fractions""; ""Convergence of interpolating Laurent polynomials on an annulus""; ""Convergence criteria for continued fractions K(an/1) based on value sets""; ""Strong Stieltjes moment problems"" |
| Record Nr. | UNINA-9910480451503321 |
| Providence, Rhode Island : , : American Mathematical Society, , [1999] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Continued fractions : from analytic number theory to constructive approximation : a volume in honor of L.J. Lange : continued fractions, from analytic number theory to constructive approximation, May 20-23, 1998, University of Missouri-Columbia / / Bruce C. Berndt, Fritz Gesztesy, editors
| Continued fractions : from analytic number theory to constructive approximation : a volume in honor of L.J. Lange : continued fractions, from analytic number theory to constructive approximation, May 20-23, 1998, University of Missouri-Columbia / / Bruce C. Berndt, Fritz Gesztesy, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1999] |
| Descrizione fisica | 1 online resource (402 p.) |
| Disciplina | 515/.243 |
| Collana | Contemporary mathematics |
| Soggetto topico | Continued fractions |
| ISBN |
0-8218-7827-1
0-8218-1200-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Contents -- Preface and Dedication -- List of Participants -- Continued fractions and orthogonal polynomials -- The problems submitted by Ramanujan to the Journal of the Indian Mathematical Society -- Some examples of moment preserving approximation -- Relations between certain symmetric strong Stieltjes distributions -- Estimates of the rate of convergence for certain quadrature formulas on the half-line -- Wavelets by orthogonal rational kernels -- On the explicit evaluations of the Rogers-Ramanujan continued fraction -- Absence of phase transitions in modified two-component plasmas: The analytic theory of continued fractions in statistical mechanics -- Some continued fractions related to elliptic functions -- Asymptotics of Stieltjes continued fraction coefficients and applications to Whittaker functions -- A generalization of Van Vleck's theorem and more on complex continued fractions -- Convergence of interpolating Laurent polynomials on an annulus -- Convergence criteria for continued fractions K(an/1) based on value sets -- Strong Stieltjes moment problems -- . |
| Record Nr. | UNINA-9910788651403321 |
| Providence, Rhode Island : , : American Mathematical Society, , [1999] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Continued fractions : from analytic number theory to constructive approximation : a volume in honor of L.J. Lange : continued fractions, from analytic number theory to constructive approximation, May 20-23, 1998, University of Missouri-Columbia / / Bruce C. Berndt, Fritz Gesztesy, editors
| Continued fractions : from analytic number theory to constructive approximation : a volume in honor of L.J. Lange : continued fractions, from analytic number theory to constructive approximation, May 20-23, 1998, University of Missouri-Columbia / / Bruce C. Berndt, Fritz Gesztesy, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1999] |
| Descrizione fisica | 1 online resource (402 p.) |
| Disciplina | 515/.243 |
| Collana | Contemporary mathematics |
| Soggetto topico | Continued fractions |
| ISBN |
0-8218-7827-1
0-8218-1200-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Contents -- Preface and Dedication -- List of Participants -- Continued fractions and orthogonal polynomials -- The problems submitted by Ramanujan to the Journal of the Indian Mathematical Society -- Some examples of moment preserving approximation -- Relations between certain symmetric strong Stieltjes distributions -- Estimates of the rate of convergence for certain quadrature formulas on the half-line -- Wavelets by orthogonal rational kernels -- On the explicit evaluations of the Rogers-Ramanujan continued fraction -- Absence of phase transitions in modified two-component plasmas: The analytic theory of continued fractions in statistical mechanics -- Some continued fractions related to elliptic functions -- Asymptotics of Stieltjes continued fraction coefficients and applications to Whittaker functions -- A generalization of Van Vleck's theorem and more on complex continued fractions -- Convergence of interpolating Laurent polynomials on an annulus -- Convergence criteria for continued fractions K(an/1) based on value sets -- Strong Stieltjes moment problems -- . |
| Record Nr. | UNINA-9910811524303321 |
| Providence, Rhode Island : , : American Mathematical Society, , [1999] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
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 | ||
| ||