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Catalogue Information
Field name	Details
Dewey Class	515.785
Title	Gelfand Triples and Their Hecke Algebras ([EBook]) : Harmonic Analysis for Multiplicity-Free Induced Representations of Finite Groups / by Tullio Ceccherini-Silberstein, Fabio Scarabotti, Filippo Tolli.
Author	Ceccherini-Silberstein, Tullio
Added Personal Name	Scarabotti, Fabio
Added Personal Name	Tolli, Filippo
Other name(s)	SpringerLink (Online service)
Edition statement	1st ed. 2020.
Publication	Cham : Springer International Publishing , 2020.
Physical Details	XVIII, 140 pages : online resource.
Series	Lecture Notes in Mathematics 0075-8434 ; ; 2267
ISBN	9783030516079
Summary Note	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.:
Mode of acces to digital resource	Digital book. Cham Springer Nature 2020. - Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format
System details note	- Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	https://doi.org/10.1007/978-3-030-51607-9
Links to Related Works	Subject References: Abstract Harmonic Analysis . Associative rings . Fourier Analysis . Group theory . Harmonic analysis . Rings (Algebra) . Special Functions . Authors: author . Ceccherini-Silberstein, Tullio . Scarabotti, Fabio . Tolli, Filippo . Corporate Authors: SpringerLink (Online service) . Series: Lecture Notes in Mathematics . Classification: 515.785 . 515.785 (DDC 23) .

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Gelfand Triples and Their Hecke Algebras: Harmonic Analysis for Multiplicity-Free Induced Representations of Finite Groups

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