Format:
Online Ressource (xii, 225 p.)
,
illustrations.
Edition:
1. print.
Edition:
Online-Ausg. Amsterdam Elsevier Science & Technology Online-Ressource ScienceDirect
ISBN:
9780123361707
,
0123361702
Series Statement:
Perspectives in mathematics 16
Content:
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
Content:
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
Note:
Includes bibliographical references (p. 209-222) and index. - Description based on print version record
Additional Edition:
ISBN 0123361702
Additional Edition:
Druckausg. Harmonic analysis and special functions on symmetric spaces San Diego, Calif. [u.a.] : Academic Press, 1994 ISBN 0123361702
Language:
English
Subjects:
Mathematics
Keywords:
Harmonische Analyse
;
Symmetrischer Raum
;
Hypergeometrische Reihe
;
Electronic books
;
Electronic books
URL:
https://doi.org/10.1016/B978-0-12-336170-7.X5000-X
URL:
Volltext
(Deutschlandweit zugänglich)
