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＜電子ブック＞
Gelfand Triples and Their Hecke Algebras : Harmonic Analysis for Multiplicity-Free Induced Representations of Finite Groups / by Tullio Ceccherini-Silberstein, Fabio Scarabotti, Filippo Tolli
(Lecture Notes in Mathematics. ISSN:16179692 ; 2267)

版	1st ed. 2020.
出版者	(Cham : Springer International Publishing : Imprint: Springer)
出版年	2020
本文言語	英語
大きさ	XVIII, 140 p : online resource
著者標目	*Ceccherini-Silberstein, Tullio author Scarabotti, Fabio author Tolli, Filippo author SpringerLink (Online service)
件　名	LCSH:Harmonic analysis LCSH:Group theory LCSH:Fourier analysis LCSH:Associative rings LCSH:Associative algebras LCSH:Special functions FREE:Abstract Harmonic Analysis FREE:Group Theory and Generalizations FREE:Fourier Analysis FREE:Associative Rings and Algebras FREE:Special Functions
一般注記	This monograph is the first comprehensive treatment of multiplicity-free induced representations of finite groups as a generalization of finite Gelfand pairs. Up to now, researchers have been somehow reluctant to face such a problem in a general situation, and only partial results were obtained in the one-dimensional case. Here, for the first time, new interesting and important results are proved. In particular, after developing a general theory (including the study of the associated Hecke algebras and the harmonic analysis of the corresponding spherical functions), two completely new highly nontrivial and significant examples (in the setting of linear groups over finite fields) are examined in full detail. The readership ranges from graduate students to experienced researchers in Representation Theory and Harmonic Analysis HTTP:URL=https://doi.org/10.1007/978-3-030-51607-9

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