Hardy Inequalities on Homogeneous Groups [[electronic resource] ] : 100 Years of Hardy Inequalities / / by Michael Ruzhansky, Durvudkhan Suragan |
Autore | Ruzhansky Michael |
Edizione | [1st ed. 2019.] |
Pubbl/distr/stampa | Cham, : Springer Nature, 2019 |
Descrizione fisica | 1 online resource (XVI, 571 p. 1 illus.) |
Disciplina |
512.55
512.482 |
Collana | Progress in Mathematics |
Soggetto topico |
Topological groups
Lie groups Potential theory (Mathematics) Partial differential equations Harmonic analysis Functional analysis Differential geometry Topological Groups, Lie Groups Potential Theory Partial Differential Equations Abstract Harmonic Analysis Functional Analysis Differential Geometry |
Soggetto non controllato |
Mathematics
Topological groups Lie groups Potential theory (Mathematics) Partial differential equations Harmonic analysis Functional analysis Differential geometry |
ISBN | 3-030-02895-X |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Introduction -- Analysis on Homogeneous Groups -- Hardy Inequalities on Homogeneous Groups -- Rellich, Caarelli-Kohn-Nirenberg, and Sobolev Type Inequalities -- Fractional Hardy Inequalities -- Integral Hardy Inequalities on Homogeneous Groups -- Horizontal Inequalities on Stratied Groups -- Hardy-Rellich Inequalities and Fundamental Solutions -- Geometric Hardy Inequalities on Stratied Groups -- Uncertainty Relations on Homogeneous Groups -- Function Spaces on Homogeneous Groups -- Elements of Potential Theory on Stratified Groups -- Hardy and Rellich Inequalities for Sums of Squares -- Bibliography -- Index. |
Record Nr. | UNINA-9910349351603321 |
Ruzhansky Michael | ||
Cham, : Springer Nature, 2019 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Harmonic Analysis on Exponential Solvable Lie Groups [[electronic resource] /] / by Hidenori Fujiwara, Jean Ludwig |
Autore | Fujiwara Hidenori |
Edizione | [1st ed. 2015.] |
Pubbl/distr/stampa | Tokyo : , : Springer Japan : , : Imprint : Springer, , 2015 |
Descrizione fisica | 1 online resource (468 p.) |
Disciplina | 515.2433 |
Collana | Springer Monographs in Mathematics |
Soggetto topico |
Topological groups
Lie groups Harmonic analysis Functional analysis Topological Groups, Lie Groups Abstract Harmonic Analysis Functional Analysis |
ISBN | 4-431-55288-X |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Preface; Contents; 1 Preliminaries: Lie Groups and Lie Algebras; 1.1 Lie Groups and Lie Algebras; 1.2 Enveloping Algebra; 1.3 Unitary Representations; 2 Haar Measure and Group Algebra; 2.1 The Haar Measure of a Locally Compact Group; 2.2 The Group Algebra; 2.3 Representations; 3 Induced Representations; 3.1 Measures on Quotient Spaces; 3.2 Definition of an Induced Representation; 3.3 Conjugation of Induced Representations; 3.4 The Imprimitivity Theorem; 4 Four Exponential Solvable Lie Groups; 4.1 The Group Rn; 4.2 The Heisenberg Group; 4.2.1 Induced Representations; 4.3 The ``ax +b '' Group
4.3.1 Induced Representations4.3.2 The Plancherel Theorem; 4.3.3 dπ for the Enveloping Algebra; 4.4 Grélaud's Group; 4.4.1 Induced Representations; 4.4.2 dπμ for the Enveloping Algebra; 4.4.3 The Imprimitivity Theorem for Grélaud's Group; 4.4.4 The Plancherel Theorem; 5 Orbit Method; 5.1 Auslander-Kostant Theory; 5.2 Exponential Solvable Lie Groups; 5.2.1 Co-exponential Sequence; 5.2.2 The Exponential Mapping for Solvable Lie Groups; 5.3 Kirillov-Bernat Mapping; 5.4 Pukanszky Condition; 6 Kirillov Theory for Nilpotent Lie Groups; 6.1 Jordan-Hölder and Malcev Sequences 6.1.1 Unipotent Representations6.1.2 Polynomial Vector Groups; 6.1.3 Unipotent Orbits; 6.2 Schwartz Spaces; 6.3 Intertwining Operator for Irreducible Representations; 6.4 Traces and Plancherel Theorem; 6.5 Parametrization of All Orbits; 7 Holomorphically Induced Representations ρ(f,h,G) for Exponential Solvable Lie Groups; 7.1 First Trial; 7.2 Exponential j-Algebras; 7.3 Exponential Kähler Algebras; 7.4 Structure of Positive Polarizations; 7.5 Non-vanishing of H(f,h,G); 7.6 Irreducibility and Equivalence of ρ(f,h,G); 7.7 Decomposition of ρ(f,h,G); 8 Irreducible Decomposition 8.1 Monomial Representations8.2 Restriction of Unitary Representations to Subgroups; 9 e-Central Elements; 9.1 Fundamental Result of Corwin and Greenleaf; 9.2 Monomial Representations and e-Central Elements; 10 Frobenius Reciprocity; 10.1 Frobenius Reciprocity in Distribution Version; 10.2 Realization of the Reciprocity in Nilpotent Case; 10.3 Examples of Semi-invariant Distributions; 11 Plancherel Formula; 11.1 Penney's Plancherel Formula; 11.2 Vergne's Decomposition Theorem; 11.3 Examples of Penney's Plancherel Formula; 11.4 Bonnet's Plancherel Formula 12 Commutativity Conjecture: Induction Case12.1 Toward the Commutativity Conjecture; 12.2 Corwin-Greenleaf Functions; Key Lemmas; 12.3 Proof of the Commutativity Conjecture; 13 Commutativity Conjecture: Restriction Case; 13.1 Kernel of Representation; 13.2 Commutativity of the Algebra Dπ(G)K; 13.3 Commutativity of the Centralizer of Lie Subalgebras; References; List of Notations; Index |
Record Nr. | UNINA-9910299762903321 |
Fujiwara Hidenori | ||
Tokyo : , : Springer Japan : , : Imprint : Springer, , 2015 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
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Harmonic Analysis on Symmetric Spaces—Euclidean Space, the Sphere, and the Poincaré Upper Half-Plane [[electronic resource] /] / by Audrey Terras |
Autore | Terras Audrey |
Edizione | [2nd ed. 2013.] |
Pubbl/distr/stampa | New York, NY : , : Springer New York : , : Imprint : Springer, , 2013 |
Descrizione fisica | 1 online resource (430 p.) |
Disciplina | 515.2433 |
Soggetto topico |
Harmonic analysis
Fourier analysis Group theory Topological groups Lie groups Functions of complex variables Special functions Abstract Harmonic Analysis Fourier Analysis Group Theory and Generalizations Topological Groups, Lie Groups Functions of a Complex Variable Special Functions |
ISBN | 1-4614-7972-X |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Chapter 1 Flat Space. Fourier Analysis on R^m. -- 1.1 Distributions or Generalized Functions -- 1.2 Fourier Integrals -- 1.3 Fourier Series and the Poisson Summation Formula -- 1.4 Mellin Transforms, Epstein and Dedekind Zeta Functions -- 1.5 Finite Symmetric Spaces, Wavelets, Quasicrystals, Weyl’s Criterion for Uniform Distribution -- Chapter 2 A Compact Symmetric Space--The Sphere -- 2.1 Fourier Analysis on the Sphere -- 2.2 O(3) and R^3. The Radon Transform -- Chapter 3 The Poincaré Upper Half-Plane -- 3.1 Hyperbolic Geometry -- 3.2 Harmonic Analysis on H -- 3.3 Fundamental Domains for Discrete Subgroups Γ of G = SL(2, R) -- 3.4 Modular of Automorphic Forms--Classical -- 3.5 Automorphic Forms--Not So Classical--Maass Waveforms -- 3.6 Modular Forms and Dirichlet Series. Hecke Theory and Generalizations -- References -- Index. |
Record Nr. | UNINA-9910438034603321 |
Terras Audrey | ||
New York, NY : , : Springer New York : , : Imprint : Springer, , 2013 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Harmonic and Applied Analysis [[electronic resource] ] : From Groups to Signals / / edited by Stephan Dahlke, Filippo De Mari, Philipp Grohs, Demetrio Labate |
Edizione | [1st ed. 2015.] |
Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2015 |
Descrizione fisica | 1 online resource (268 p.) |
Disciplina | 515.2433 |
Collana | Applied and Numerical Harmonic Analysis |
Soggetto topico |
Harmonic analysis
Fourier analysis Group theory Topological groups Lie groups Signal processing Image processing Speech processing systems Abstract Harmonic Analysis Fourier Analysis Group Theory and Generalizations Topological Groups, Lie Groups Signal, Image and Speech Processing |
ISBN | 3-319-18863-1 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | From Group Representations to Signal Analysis -- The Use of Representations in Applied Harmonic Analysis -- Shearlet Coorbit Theory -- Efficient Analysis and Detection of Edges through Directional Multiscale Representations -- Optimally Sparse Data Representations. |
Record Nr. | UNINA-9910300248403321 |
Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2015 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Harmonic Functions on Groups and Fourier Algebras [[electronic resource] /] / by Cho-Ho Chu, Anthony To-Ming Lau |
Autore | Chu Cho-Ho |
Edizione | [1st ed. 2002.] |
Pubbl/distr/stampa | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2002 |
Descrizione fisica | 1 online resource (VII, 100 p.) |
Disciplina | 515.53 |
Collana | Lecture Notes in Mathematics |
Soggetto topico |
Harmonic analysis
Potential theory (Mathematics) Integral equations Topological groups Lie groups Functional analysis Functions of complex variables Abstract Harmonic Analysis Potential Theory Integral Equations Topological Groups, Lie Groups Functional Analysis Several Complex Variables and Analytic Spaces |
ISBN | 3-540-47793-4 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | 1. Introduction -- 2. Harmonic functions on locally compact groups: 2.1. Preliminaries and notation. 2.2. Poisson representation of harmonic functions. 2.3. Semigroup structures of the Poisson space. 2.4. Almost periodic harmonic functions. 2.5. Distal harmonic functions. 2.6. Transitive group actions on Poisson spaces. 2.7. Examples -- 3. Harmonic functionals on Fourier algebras: 3.1. Fourier algebras. 3.2. Harmonic functionals and associated ideals. 3.3. Jordan structures of harmonic functionals. 3.4. Classification of harmonic functionals -- References -- List of symbols -- Index. |
Record Nr. | UNINA-9910144942603321 |
Chu Cho-Ho | ||
Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2002 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Harmonic Functions on Groups and Fourier Algebras [[electronic resource] /] / by Cho-Ho Chu, Anthony To-Ming Lau |
Autore | Chu Cho-Ho |
Edizione | [1st ed. 2002.] |
Pubbl/distr/stampa | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2002 |
Descrizione fisica | 1 online resource (VII, 100 p.) |
Disciplina | 515.53 |
Collana | Lecture Notes in Mathematics |
Soggetto topico |
Harmonic analysis
Potential theory (Mathematics) Integral equations Topological groups Lie groups Functional analysis Functions of complex variables Abstract Harmonic Analysis Potential Theory Integral Equations Topological Groups, Lie Groups Functional Analysis Several Complex Variables and Analytic Spaces |
ISBN | 3-540-47793-4 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | 1. Introduction -- 2. Harmonic functions on locally compact groups: 2.1. Preliminaries and notation. 2.2. Poisson representation of harmonic functions. 2.3. Semigroup structures of the Poisson space. 2.4. Almost periodic harmonic functions. 2.5. Distal harmonic functions. 2.6. Transitive group actions on Poisson spaces. 2.7. Examples -- 3. Harmonic functionals on Fourier algebras: 3.1. Fourier algebras. 3.2. Harmonic functionals and associated ideals. 3.3. Jordan structures of harmonic functionals. 3.4. Classification of harmonic functionals -- References -- List of symbols -- Index. |
Record Nr. | UNISA-996466603203316 |
Chu Cho-Ho | ||
Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2002 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. di Salerno | ||
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Hypercomplex Analysis: New Perspectives and Applications [[electronic resource] /] / edited by Swanhild Bernstein, Uwe Kähler, Irene Sabadini, Frank Sommen |
Edizione | [1st ed. 2014.] |
Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2014 |
Descrizione fisica | 1 online resource (228 p.) |
Disciplina | 515.9 |
Collana | Trends in Mathematics |
Soggetto topico |
Functions of complex variables
Topological groups Lie groups Computer mathematics Functions of a Complex Variable Topological Groups, Lie Groups Several Complex Variables and Analytic Spaces Computational Science and Engineering |
ISBN | 3-319-08771-1 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
""Contents""; ""Preface""; ""Symmetries and Associated Pairs in Quaternionic Analysis""; ""1. Motivation and basic facts of quaternionic analysis""; ""2. Necessary and sufficient conditions for associated pairs""; ""3. First-order symmetries of the generalized Cauchy�Riemann operator""; ""4. Endomorphisms over the quaternions""; ""Acknowledgment""; ""References""; ""Generalized Quaternionic Schur Functions in the Ball and Half-space and Krein�Langer Factorization""; ""1. Introduction""; ""1.1. Some history""; ""1.2. The slice hyperholomorphic case""; ""2. A survey of the classical case""
""3. Slice hyperholomorphic functions and Blaschke products""""4. Some results from quaternionic functional analysis""; ""5. Generalized Schur functions and their realizations""; ""6. The factorization theorem""; ""7. The case of the half-space""; ""References""; ""The Fock Space in the Slice Hyperholomorphic Setting""; ""1. Introduction""; ""2. A brief survey of infinite-dimensional analysis""; ""3. The Fock space in the slice regular case""; ""4. Quaternion full Fock space and symmetric Fock space""; ""5. The slice monogenic case""; ""References"" ""Multi Mq-monogenic Function in Different Dimension""""1. Introduction""; ""2. Separately holomorphic and monogenic functions""; ""3. Clifford-algebra-valued functions in several variables""; ""4. Associated algebra of Clifford type 1""; ""4.1. Decomposition of the q-Cauchy�Riemann system""; ""5. Example 1""; ""6. Associated algebra of Clifford type 2""; ""7. Example 2""; ""8. Definition of separately Mq-monogenic functions""; ""9. Conclusions""; ""Acknowledgment""; ""References""; ""The Fractional Monogenic Signal""; ""1. Introduction""; ""2. Preliminaries""; ""2.1. Quaternions"" ""2.1.1. Real quaternions.""""2.1.2. Complex quaternions.""; ""2.2. Rotations""; ""2.3. Quaternionic analysis""; ""2.3.1. Dirac operator.""; ""2.3.2. Integral formulae.""; ""2.3.3. Hardy spaces.""; ""3. The analytic signal""; ""3.1. Hilbert transform""; ""3.2. Fractional Hilbert operator and analytic fractional signal""; ""4. The fractional Riesz operator""; ""4.1. The isoclinic fractional Riesz transform""; ""4.2. Properties of the fractional Riesz operator""; ""5. Fractional monogenic signal""; ""5.1. Properties of the fractional monogenic signal""; ""6. Concluding remarks""; ""References"" ""Weighted Bergman Spaces""""1. Introduction""; ""2. The α-Bloch�Bergman space""; ""3. Properties of A and L(p,q,s)""; ""5. Strict inclusions of the spaces A(p,q,s)""; ""6. F(p,q,s) and A spaces""; ""7. Carleson measures""; ""Acknowledgment""; ""References""; ""On Appell Sets and Verma Modules for sl(2)""; ""1. Introduction""; ""2. Appell sets in Verma modules for sl(2)""; ""3. Hermite bases in Verma modules for sl(2)""; ""References""; ""Integral Formulas for k-hypermonogenic Functions in R3""; ""1. Introduction""; ""2. Preliminaries"" ""3. Integral formulas for k-hypermonogenic functions"" |
Record Nr. | UNINA-9910299984603321 |
Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2014 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Introduction to Mechanics and Symmetry [[electronic resource] ] : A Basic Exposition of Classical Mechanical Systems / / by Jerrold E. Marsden, Tudor S. Ratiu |
Autore | Marsden Jerrold E |
Edizione | [Second Edition.] |
Pubbl/distr/stampa | New York, NY : , : Springer New York : , : Imprint : Springer, , 1999 |
Descrizione fisica | 1 online resource (XVIII, 586 p.) |
Disciplina | 530.1 |
Collana | Texts in Applied Mathematics |
Soggetto topico |
Physics
Topological groups Lie groups Manifolds (Mathematics) Complex manifolds Theoretical, Mathematical and Computational Physics Topological Groups, Lie Groups Manifolds and Cell Complexes (incl. Diff.Topology) |
ISBN | 0-387-21792-4 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | 1 Introduction and Overview -- 2 Hamiltonian Systems on Linear Symplectic Spaces -- 3 An Introduction to Infinite-Dimensional Systems -- 4 Manifolds, Vector Fields, and Differential Forms -- 5 Hamiltonian Systems on Symplectic Manifolds -- 6 Cotangent Bundles -- 7 Lagrangian Mechanics -- 8 Variational Principles, Constraints, & Rotating Systems -- 9 An Introduction to Lie Groups -- 10 Poisson Manifolds -- 11 Momentum Maps -- 12 Computation and Properties of Momentum Maps -- 13 Lie—Poisson and Euler—Poincaré Reduction -- 14 Coadjoint Orbits -- 15 The Free Rigid Body -- References. |
Record Nr. | UNINA-9910480306603321 |
Marsden Jerrold E | ||
New York, NY : , : Springer New York : , : Imprint : Springer, , 1999 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Introduction to Mechanics and Symmetry [[electronic resource] ] : A Basic Exposition of Classical Mechanical Systems / / by Jerrold E. Marsden, Tudor S. Ratiu |
Autore | Marsden Jerrold E |
Edizione | [Second Edition.] |
Pubbl/distr/stampa | New York, NY : , : Springer New York : , : Imprint : Springer, , 1999 |
Descrizione fisica | 1 online resource (XVIII, 586 p.) |
Disciplina | 530.1 |
Collana | Texts in Applied Mathematics |
Soggetto topico |
Physics
Topological groups Lie groups Manifolds (Mathematics) Complex manifolds Theoretical, Mathematical and Computational Physics Topological Groups, Lie Groups Manifolds and Cell Complexes (incl. Diff.Topology) |
ISBN | 0-387-21792-4 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | 1 Introduction and Overview -- 2 Hamiltonian Systems on Linear Symplectic Spaces -- 3 An Introduction to Infinite-Dimensional Systems -- 4 Manifolds, Vector Fields, and Differential Forms -- 5 Hamiltonian Systems on Symplectic Manifolds -- 6 Cotangent Bundles -- 7 Lagrangian Mechanics -- 8 Variational Principles, Constraints, & Rotating Systems -- 9 An Introduction to Lie Groups -- 10 Poisson Manifolds -- 11 Momentum Maps -- 12 Computation and Properties of Momentum Maps -- 13 Lie—Poisson and Euler—Poincaré Reduction -- 14 Coadjoint Orbits -- 15 The Free Rigid Body -- References. |
Record Nr. | UNINA-9910792479103321 |
Marsden Jerrold E | ||
New York, NY : , : Springer New York : , : Imprint : Springer, , 1999 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Introduction to Mechanics and Symmetry [[electronic resource] ] : A Basic Exposition of Classical Mechanical Systems / / by Jerrold E. Marsden, Tudor S. Ratiu |
Autore | Marsden Jerrold E |
Edizione | [Second Edition.] |
Pubbl/distr/stampa | New York, NY : , : Springer New York : , : Imprint : Springer, , 1999 |
Descrizione fisica | 1 online resource (XVIII, 586 p.) |
Disciplina | 530.1 |
Collana | Texts in Applied Mathematics |
Soggetto topico |
Physics
Topological groups Lie groups Manifolds (Mathematics) Complex manifolds Theoretical, Mathematical and Computational Physics Topological Groups, Lie Groups Manifolds and Cell Complexes (incl. Diff.Topology) |
ISBN | 0-387-21792-4 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | 1 Introduction and Overview -- 2 Hamiltonian Systems on Linear Symplectic Spaces -- 3 An Introduction to Infinite-Dimensional Systems -- 4 Manifolds, Vector Fields, and Differential Forms -- 5 Hamiltonian Systems on Symplectic Manifolds -- 6 Cotangent Bundles -- 7 Lagrangian Mechanics -- 8 Variational Principles, Constraints, & Rotating Systems -- 9 An Introduction to Lie Groups -- 10 Poisson Manifolds -- 11 Momentum Maps -- 12 Computation and Properties of Momentum Maps -- 13 Lie—Poisson and Euler—Poincaré Reduction -- 14 Coadjoint Orbits -- 15 The Free Rigid Body -- References. |
Record Nr. | UNINA-9910822844903321 |
Marsden Jerrold E | ||
New York, NY : , : Springer New York : , : Imprint : Springer, , 1999 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|