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Gelfand triples and their Hecke alge...

Ceccherini-Silberstein, Tullio.

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

Record Type:	Electronic resources : Monograph/item
Title/Author:	Gelfand triples and their Hecke algebrasby Tullio Ceccherini-Silberstein, Fabio Scarabotti, Filippo Tolli.
Reminder of title:	harmonic analysis for multiplicity-free induced representations of finite groups /
Author:	Ceccherini-Silberstein, Tullio.
other author:	Scarabotti, Fabio.
Published:	Cham :Springer International Publishing :2020.
Description:	xviii, 140 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Harmonic analysis.
Online resource:	https://doi.org/10.1007/978-3-030-51607-9
ISBN:	9783030516079$q(electronic bk.)

Gelfand triples and their Hecke algebrasharmonic 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 ;2035..

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$q(electronic bk.)

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

189705
Harmonic analysis.

LC Class. No.: QA403 / .C42 2020

Dewey Class. No.: 515.785

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