| Description |
1 online resource (330 pages) |
| Series |
Contemporary Mathematics Ser. ; v. 714 |
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Contemporary Mathematics Ser
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| Contents |
880-01 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( _{ }) |
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880-01/(S 4. The spaces = / and its Dual Ξ= /5. Global descriptions of eigenspaces; 6. Spherical functions of a given -type; 7. The asymptotics of Φ_{\la, }; 8. The case of higher rank; References; Schrödinger-type equations and unitary highest weight representations of the metaplectic group; 1. Introduction; 2. The Group; 3. The Induced Representation and the Noncompact Picture; 4. A System of Schrödinger-Type Operators; 5. * ()-decomposition of ℋ(*ℳ\nolimits_{, }×* \nolimits_{ })_{* ℯ}; 6. The Commutative Diagram; 7. Lowest Weights; References |
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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 |
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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 |
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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 |
| Summary |
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, highlighting the connections between harmonic analysis and the areas of integral geometry, complex analysis, operator algebras, Lie algebras, special functions, and differential operators. The breadth of contributions highlights the diversity of current research in harmonic analysis and shows that it continues t |
| Notes |
Residue formula for regular symmetry breaking operators |
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Print version record |
| Subject |
Ólafsson, Gestur
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Symmetric spaces -- Congresses
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Harmonic analysis -- Congresses
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Festschriften.
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Festschriften.
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Festschriften
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Harmonic analysis
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Symmetric spaces
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Differential geometry -- Global differential geometry -- Symmetric spaces.
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Abstract harmonic analysis -- Abstract harmonic analysis -- Spherical functions.
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Group theory and generalizations -- Representation theory of groups -- Hecke algebras and their representations.
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Linear and multilinear algebra; matrix theory -- Basic linear algebra -- Clifford algebras, spinors.
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Nonassociative rings and algebras -- Lie algebras and Lie superalgebras -- Automorphisms, derivations, other operators.
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Quantum theory -- Groups and algebras in quantum theory -- Symmetry breaking.
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Topological groups, Lie groups -- Lie groups -- Semisimple Lie groups and their representations.
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Topological groups, Lie groups -- Lie groups -- Representations of Lie and linear algebraic groups over local fields.
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Several complex variables and analytic spaces -- Holomorphic fiber spaces -- Twistor theory, double fibrations.
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Several complex variables and analytic spaces -- Complex spaces with a group of automorphisms -- Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras.
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| Genre/Form |
Conference papers and proceedings
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| Form |
Electronic book
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| Author |
Dann, Susanna
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Dawson, Matthew
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| ISBN |
9781470448844 |
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147044884X |
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