國立虎尾科技大學 |

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

Record Type:	Language materials, printed : 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.
Description:	XVIII, 140 p.online resource. :
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. - 1st ed. 2020. - XVIII, 140 p.online resource. - Lecture Notes in Mathematics,22670075-8434 ;. - Lecture Notes in Mathematics,2144.

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:

672073
Harmonic analysis.

LC Class. No.: QA403-403.3

Dewey Class. No.: 515.785

Gelfand Triples and Their Hecke Algebras = Harmonic Analysis for Multiplicity-Free Induced Representations of Finite Groups /
LDR:02319nam a22003975i 4500 001 1029666
003 DE-He213
005 20200925141639.0
007 cr nn 008mamaa
008 210318s2020 gw | s |||| 0|eng d
020 $a 9783030516079 $9 978-3-030-51607-9
024 7 $a 10.1007/978-3-030-51607-9 $2 doi
035 $a 978-3-030-51607-9
050 4 $a QA403-403.3
072 7 $a PBKD $2 bicssc
072 7 $a MAT034000 $2 bisacsh
072 7 $a PBKD $2 thema
082 0 4 $a 515.785 $2 23
100 1 $a Ceccherini-Silberstein, Tullio. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1326452
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.
250 $a 1st ed. 2020.
264 1 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2020.
300 $a XVIII, 140 p. $b online resource.
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
490 1 $a Lecture Notes in Mathematics, $x 0075-8434 ; $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 672073
650 0 $a Group theory. $3 527791
650 0 $a Fourier analysis. $3 639284
650 0 $a Associative rings. $3 893564
650 0 $a Rings (Algebra). $3 685051
650 0 $a Special functions. $3 1257411
650 1 4 $a Abstract Harmonic Analysis. $3 672075
650 2 4 $a Group Theory and Generalizations. $3 672112
650 2 4 $a Fourier Analysis. $3 672627
650 2 4 $a Associative Rings and Algebras. $3 672306
650 2 4 $a Special Functions. $3 672152
700 1 $a Scarabotti, Fabio. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1326453
700 1 $a Tolli, Filippo. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1326454
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9783030516062
776 0 8 $i Printed edition: $z 9783030516086
830 0 $a Lecture Notes in Mathematics, $x 0075-8434 ; $v 2144 $3 1254300
856 4 0 $u https://doi.org/10.1007/978-3-030-51607-9
912 $a ZDB-2-SMA
912 $a ZDB-2-SXMS
912 $a ZDB-2-LNM
950 $a Mathematics and Statistics (SpringerNature-11649)
950 $a Mathematics and Statistics (R0) (SpringerNature-43713)