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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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Heckman, Gerrit
Otros Autores: Schlichtkrull, Henrik, 1954-
Formato: Electrónico eBook
Idioma:Inglés
Publicado: San Diego, Calif. : Academic Press, �1994.
Colección:Perspectives in mathematics ; vol. 16.
Temas:
Acceso en línea:Texto completo

MARC

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100 1 |a Heckman, Gerrit. 
245 1 0 |a Harmonic analysis and special functions on symmetric spaces /  |c Gerrit Heckman, Henrik Schlicktkrull. 
260 |a San Diego, Calif. :  |b Academic Press,  |c �1994. 
300 |a 1 online resource (xii, 225 pages) :  |b illustrations 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
490 1 |a Perspectives in mathematics ;  |v vol. 16 
504 |a Includes bibliographical references (pages 209-222) and index. 
588 0 |a Print version record. 
505 0 |a 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. 
520 |a 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. 
650 0 |a Symmetric spaces. 
650 0 |a Harmonic analysis. 
650 2 |a Fourier Analysis  |0 (DNLM)D005583 
650 6 |a Espaces sym&#xFFFD;etriques.  |0 (CaQQLa)201-0025327 
650 6 |a Analyse harmonique.  |0 (CaQQLa)201-0001187 
650 7 |a MATHEMATICS  |x Geometry  |x Differential.  |2 bisacsh 
650 7 |a Harmonic analysis.  |2 fast  |0 (OCoLC)fst00951490 
650 7 |a Symmetric spaces.  |2 fast  |0 (OCoLC)fst01140808 
650 7 |a Espaces sym&#xFFFD;etriques.  |2 ram 
650 7 |a Analyse harmonique.  |2 ram 
653 0 |a Differential geometry 
700 1 |a Schlichtkrull, Henrik,  |d 1954- 
776 0 8 |i Print version:  |a Heckman, Gerrit.  |t Harmonic analysis and special functions on symmetric spaces.  |d San Diego, Calif. : Academic Press, &#xFFFD;1994  |z 0123361702  |z 9780123361707  |w (DLC) 94026553  |w (OCoLC)30738988 
830 0 |a Perspectives in mathematics ;  |v vol. 16. 
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