| Description |
1 online resource (xii, 225 pages) : illustrations |
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text txt rdacontent |
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computer c rdamedia |
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online resource cr rdacarrier |
| Series |
Perspectives in mathematics ; vol. 16 |
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Perspectives in mathematics ; vol. 16.
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| Bibliography |
Includes bibliographical references (pages 209-222) and index. |
| Note |
Print version record. |
| Contents |
Part I: The Hypergeometric and Spherical Functions. Part II: Harmonic Analysis on Semisimple Symmetric Spaces. Part III: Are K-invariant Eisenstein Integrals for G/H<$> Hypergeometric Functions? References. Index. |
| Summary |
The two parts of this sharply focused book, Hypergeometric and Special Functions and Harmonic Analysis on Semisimple Symmetric Spaces, are derived from lecture notes for the European School of Group Theory, a forum providing high-level courses on recent developments in group theory. The authors provide students and researchers with a thorough and thoughtful overview, elaborating on the topic with clear statements of definitions and theorems and augmenting these withtime-saving examples. An extensive set of notes supplements the text. Heckman and Schlichtkrull extend the ideas of harmonic analysis on semisimple symmetric spaces to embrace the theory of hypergeometric and spherical functions and show that the K-variant Eisenstein integrals for G/H are hypergeometric functions under this theory. They lead readers from the fundamentals of semisimple symmetric spaces of G/H to the frontier, including generalization, to the Riemannian case. This volume will interest harmonic analysts, those working on or applying the theory of symmetric spaces; it will also appeal to those with an interest in special functions. Extends ideas of harmonic analysis on symmetric spaces First treatment of the theory to include hypergeometric and spherical functions Links algebraic, analytic, and geometric methods. |
| Subject |
Symmetric spaces.
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Harmonic analysis.
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Fourier Analysis |
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Espaces symétriques.
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Analyse harmonique.
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MATHEMATICS -- Geometry -- Differential.
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Harmonic analysis
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Symmetric spaces
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Espaces symétriques.
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Analyse harmonique.
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| Indexed Term |
Differential geometry |
| Added Author |
Schlichtkrull, Henrik, 1954-
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| Other Form: |
Print version: Heckman, Gerrit. Harmonic analysis and special functions on symmetric spaces. San Diego, Calif. : Academic Press, ©1994 0123361702 9780123361707 (DLC) 94026553 (OCoLC)30738988 |
| ISBN |
9780080533292 (electronic bk.) |
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0080533299 (electronic bk.) |
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0123361702 |
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9780123361707 |
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1281036196 |
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9781281036193 |
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9780123361707 |
| Standard No. |
AU@ 000048130410 |
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AU@ 000051557281 |
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AU@ 000054163031 |
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CHNEW 001007159 |
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DEBBG BV036962211 |
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DEBBG BV039830080 |
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DEBBG BV042317231 |
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DEBBG BV043105248 |
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DEBSZ 275235807 |
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DEBSZ 422179329 |
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GBVCP 802349935 |
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NZ1 12432461 |
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NZ1 15192813 |
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