Harmonic analysis and special functions on symmetric spaces /:
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 prov...
Gespeichert in:
| 1. Verfasser: | |
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| Weitere Verfasser: | |
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
San Diego, Calif. :
Academic Press,
©1994.
|
| Schriftenreihe: | Perspectives in mathematics ;
vol. 16. |
| Schlagworte: | |
| Online-Zugang: | DE-862 DE-863 DE-862 DE-863 |
| Zusammenfassung: | 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. |
| Beschreibung: | 1 online resource (xii, 225 pages) : illustrations |
| Bibliographie: | Includes bibliographical references (pages 209-222) and index. |
| ISBN: | 9780080533292 0080533299 0123361702 9780123361707 1281036196 9781281036193 |
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| author | Heckman, Gerrit |
| author2 | Schlichtkrull, Henrik, 1954- |
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| 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<$> Hypergeometric Functions? References. Index. |
| ctrlnum | (OCoLC)173518060 |
| dewey-full | 516.3/62 |
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| dewey-ones | 516 - Geometry |
| dewey-raw | 516.3/62 |
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| discipline | Mathematik |
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| id | ZDB-4-EBA-ocn173518060 |
| illustrated | Illustrated |
| indexdate | 2025-04-11T08:35:55Z |
| institution | BVB |
| isbn | 9780080533292 0080533299 0123361702 9780123361707 1281036196 9781281036193 |
| language | English |
| oclc_num | 173518060 |
| open_access_boolean | |
| owner | MAIN DE-862 DE-BY-FWS DE-863 DE-BY-FWS |
| owner_facet | MAIN DE-862 DE-BY-FWS DE-863 DE-BY-FWS |
| physical | 1 online resource (xii, 225 pages) : illustrations |
| psigel | ZDB-4-EBA FWS_PDA_EBA ZDB-4-EBA |
| publishDate | 1994 |
| publishDateSearch | 1994 |
| publishDateSort | 1994 |
| publisher | Academic Press, |
| record_format | marc |
| series | Perspectives in mathematics ; |
| series2 | Perspectives in mathematics ; |
| spelling | Heckman, Gerrit. http://id.loc.gov/authorities/names/n94060197 Harmonic analysis and special functions on symmetric spaces / Gerrit Heckman, Henrik Schlicktkrull. San Diego, Calif. : Academic Press, ©1994. 1 online resource (xii, 225 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier Perspectives in mathematics ; vol. 16 Includes bibliographical references (pages 209-222) and index. Print version record. Part I: The Hypergeometric and Spherical Functions. Part II: Harmonic Analysis on Semisimple Symmetric Spaces. Part III: Are K-invariant Eisenstein Integrals for G/H<$> Hypergeometric Functions? References. Index. 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. Symmetric spaces. http://id.loc.gov/authorities/subjects/sh85131437 Harmonic analysis. http://id.loc.gov/authorities/subjects/sh85058939 Fourier Analysis https://id.nlm.nih.gov/mesh/D005583 Espaces symétriques. Analyse harmonique. MATHEMATICS Geometry Differential. bisacsh Harmonic analysis fast Symmetric spaces fast Espaces symétriques. ram Analyse harmonique. ram Differential geometry Schlichtkrull, Henrik, 1954- https://id.oclc.org/worldcat/entity/E39PCjCfpxygkFgrKrq9PWmTVy http://id.loc.gov/authorities/names/n84017395 has work: Harmonic analysis and special functions on symmetric spaces (Text) https://id.oclc.org/worldcat/entity/E39PCFytFhFhVcbMKgDwd9kjBX https://id.oclc.org/worldcat/ontology/hasWork Print version: Heckman, Gerrit. Harmonic analysis and special functions on symmetric spaces. San Diego, Calif. : Academic Press, ©1994 0123361702 9780123361707 (DLC) 94026553 (OCoLC)30738988 Perspectives in mathematics ; vol. 16. http://id.loc.gov/authorities/names/n86740757 |
| spellingShingle | Heckman, Gerrit Harmonic analysis and special functions on symmetric spaces / Perspectives in mathematics ; 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. Symmetric spaces. http://id.loc.gov/authorities/subjects/sh85131437 Harmonic analysis. http://id.loc.gov/authorities/subjects/sh85058939 Fourier Analysis https://id.nlm.nih.gov/mesh/D005583 Espaces symétriques. Analyse harmonique. MATHEMATICS Geometry Differential. bisacsh Harmonic analysis fast Symmetric spaces fast Espaces symétriques. ram Analyse harmonique. ram |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85131437 http://id.loc.gov/authorities/subjects/sh85058939 https://id.nlm.nih.gov/mesh/D005583 |
| title | Harmonic analysis and special functions on symmetric spaces / |
| title_auth | Harmonic analysis and special functions on symmetric spaces / |
| title_exact_search | Harmonic analysis and special functions on symmetric spaces / |
| title_full | Harmonic analysis and special functions on symmetric spaces / Gerrit Heckman, Henrik Schlicktkrull. |
| title_fullStr | Harmonic analysis and special functions on symmetric spaces / Gerrit Heckman, Henrik Schlicktkrull. |
| title_full_unstemmed | Harmonic analysis and special functions on symmetric spaces / Gerrit Heckman, Henrik Schlicktkrull. |
| title_short | Harmonic analysis and special functions on symmetric spaces / |
| title_sort | harmonic analysis and special functions on symmetric spaces |
| topic | Symmetric spaces. http://id.loc.gov/authorities/subjects/sh85131437 Harmonic analysis. http://id.loc.gov/authorities/subjects/sh85058939 Fourier Analysis https://id.nlm.nih.gov/mesh/D005583 Espaces symétriques. Analyse harmonique. MATHEMATICS Geometry Differential. bisacsh Harmonic analysis fast Symmetric spaces fast Espaces symétriques. ram Analyse harmonique. ram |
| topic_facet | Symmetric spaces. Harmonic analysis. Fourier Analysis Espaces symétriques. Analyse harmonique. MATHEMATICS Geometry Differential. Harmonic analysis Symmetric spaces |
| work_keys_str_mv | AT heckmangerrit harmonicanalysisandspecialfunctionsonsymmetricspaces AT schlichtkrullhenrik harmonicanalysisandspecialfunctionsonsymmetricspaces |