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Gelfand triples and their Hecke alge...

Ceccherini-Silberstein, Tullio.

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Gelfand triples and their Hecke algebras = harmonic analysis for multiplicity-free induced representations of finite groups /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Gelfand triples and their Hecke algebras/ by Tullio Ceccherini-Silberstein, Fabio Scarabotti, Filippo Tolli.
其他題名:	harmonic analysis for multiplicity-free induced representations of finite groups /
作者:	Ceccherini-Silberstein, Tullio.
其他作者:	Scarabotti, Fabio.
出版者:	Cham :Springer International Publishing : : 2020.,
面頁冊數:	xviii, 140 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	Harmonic analysis. -
電子資源:	https://doi.org/10.1007/978-3-030-51607-9
ISBN:	9783030516079

Gelfand triples and their Hecke algebras = harmonic analysis for multiplicity-free induced representations of finite groups /
Ceccherini-Silberstein, Tullio.

Gelfand triples and their Hecke algebrasharmonic analysis for multiplicity-free induced representations of finite groups /[electronic resource] :by Tullio Ceccherini-Silberstein, Fabio Scarabotti, Filippo Tolli. - Cham :Springer International Publishing :2020. - xviii, 140 p. :ill., digital ;24 cm. - Lecture notes in mathematics,v.22670075-8434 ;. - Lecture notes in mathematics ;v.2267..

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.

ISBN: 9783030516079

Standard No.: 10.1007/978-3-030-51607-9doiSubjects--Topical Terms:

555704
Harmonic analysis.

LC Class. No.: QA403 / .C42 2020

Dewey Class. No.: 515.785

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