Representation Theory and Harmonic Analysis on Symmetric Spaces.

This volume contains the proceedings of the AMS Special Session on Harmonic Analysis, in honor of Gestur Ólafsson's 65th birthday, held on January 4, 2017, in Atlanta, Georgia. The articles in this volume provide fresh perspectives on many different directions within harmonic analysis, highlig...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Christensen, Jens Gerlach
Otros Autores: Dann, Susanna, Dawson, Matthew
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence : American Mathematical Society, 2018.
Colección:Contemporary Mathematics Ser.
Temas:
Ólafsson, Gestur.
Symmetric spaces > Congresses.
Harmonic analysis > Congresses.
Festschriften.
Espaces symétriques > Congrès.
Analyse harmonique > Congrès.
Mélanges (Recueils)
Festschriften
Harmonic analysis
Symmetric spaces
Differential geometry > Global differential geometry > Symmetric spaces.
Abstract harmonic analysis > Abstract harmonic analysis > Spherical functions.
Group theory and generalizations > Representation theory of groups > Hecke algebras and their representations.
Linear and multilinear algebra; matrix theory > Basic linear algebra > Clifford algebras, spinors.
Nonassociative rings and algebras > Lie algebras and Lie superalgebras > Automorphisms, derivations, other operators.
Quantum theory > Groups and algebras in quantum theory > Symmetry breaking.
Topological groups, Lie groups > Lie groups > Semisimple Lie groups and their representations.
Topological groups, Lie groups > Lie groups > Representations of Lie and linear algebraic groups over local fields.
Several complex variables and analytic spaces > Holomorphic fiber spaces > Twistor theory, double fibrations.
Several complex variables and analytic spaces > Complex spaces with a group of automorphisms > Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras.
Conference papers and proceedings
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Cover; Title page; Contents; Preface; List of Speakers; Gestur Ólafsson's contributions to Mathematics; Schur -functions and the Capelli eigenvalue problem for the Lie superalgebra \ger ( ); 1. Introduction; 2. Lie superalgebras; 3. The eigenvalue polynomials; 4. The spherical polynomials; References; Analysis of free products of the general linear groups ₂(ℚ_{ }) and Hecke algebras ℋ( ℒ₂(ℚ_{ })) over primes; 1. Introduction; 2. Preliminaries; 3. Canonical Free-Probabilistic Models in ℋ( _{ }); 4. Free Probability on ℋ( _{ })
  • 5. Representations on normal-core Hecke Probability Spaces6. *-Probability Spaces Induced by normal-core Hecke Probability Spaces; 7. Free Product *-Probability Spaces over {(ℍ( _{ }), _{ })}_{ ∈ }; 8. On a Certain *-Subalgebra \frak{ } of ℍ_{ }; 9. Acting \frak{ } on *-Probability Spaces; 10. Applications; References; Atomic decompositions of mixed norm Bergman spaces on tube type domains; 1. Introduction; 2. Symmetric cones; 3. Besov spaces related to symmetric cones; 4. Bergman spaces on tube type domains.; 5. Atomic decomposition of Bergman spaces
  • 6. Comparison with previous results and some open problemsReferences; C*-algebraic normalization and Godement-Jacquet factors; 1. Introduction; 2. Generating Godement-Jacquet factors and the inverse normalizing distribution; 3. Concluding remarks; References; Radial Toeplitz operators on the weighted Bergman spaces of Cartan domains; 1. Introduction; 2. Jordan structures associated to bounded symmetric domains; 3. Analysis on bounded symmetric domains; 4. Radial operators and the isotypic decomposition of _{ }|_{ }; 5. Radial Toeplitz operators on the Bergman spaces; References.
  • A rational theory of Clebsch-Gordan coefficients1. Introduction; 2. Definitions and notation; 3. Tensor products; 4. Generating functions for weight vectors; 5. Example; 6. Algorithm with Pascal's recurrence; 7. Recurrence Relations; 8. Regge Symmetries; 9. Normalization; 10. Appendix: Projection Operator Methods; References; Radon-John transforms and spherical harmonics; 1. Introduction; 2. Preliminaries; 3. Main Results; 4. Conclusion; Acknowledgments; References; Spherical functions on Riemannian symmetric spaces; 1. Introduction; 2. Notation and background; 3. Zonal spherical functions.

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