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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 /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Gelfand triples and their Hecke algebras/ by 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

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

Gelfand triples and their Hecke algebras = harmonic analysis for multiplicity-free induced representations of finite groups /
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100 1 $a Ceccherini-Silberstein, Tullio. $3 1245241
245 1 0 $a Gelfand triples and their Hecke algebras $h [electronic resource] : $b harmonic analysis for multiplicity-free induced representations of finite groups / $c by Tullio Ceccherini-Silberstein, Fabio Scarabotti, Filippo Tolli.
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300 $a xviii, 140 p. : $b ill., digital ; $c 24 cm.
490 1 $a Lecture notes in mathematics, $x 0075-8434 ; $v v.2267
520 $a 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.
650 0 $a Harmonic analysis. $3 555704
650 0 $a Hecke algebras. $3 704992
650 0 $a Group theory. $3 523248
650 0 $a Fourier analysis. $3 532730
650 0 $a Associative rings. $3 668071
650 0 $a Functions, Special. $3 606076
650 1 4 $a Abstract Harmonic Analysis. $3 891093
650 2 4 $a Group Theory and Generalizations. $3 893889
650 2 4 $a Fourier Analysis. $3 891095
650 2 4 $a Associative Rings and Algebras. $3 897405
650 2 4 $a Special Functions. $3 897326
700 1 $a Scarabotti, Fabio. $3 1299008
700 1 $a Tolli, Filippo. $3 3504366
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
830 0 $a Lecture notes in mathematics ; $v v.2267. $3 3504367
856 4 0 $u https://doi.org/10.1007/978-3-030-51607-9
950 $a Mathematics and Statistics (SpringerNature-11649)