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010   $a3-030-51607-5
024 7 $a10.1007/978-3-030-51607-9
035   $a(OCoLC)1201562589
035   $a(CKB)4100000011469524
035   $a(MiAaPQ)EBC6357670
035   $a(DE-He213)978-3-030-51607-9
035   $a(PPN)250220474
035   $a(MiAaPQ)EBC6357660
035   $a(EXLCZ)994100000011469524
100   $a20200925d2020      u|         0
101 0 $aeng
135   $aurnn#008mamaa
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aGelfand Triples and Their Hecke Algebras $eHarmonic Analysis for Multiplicity-Free Induced Representations of Finite Groups /$fby Tullio Ceccherini-Silberstein, Fabio Scarabotti, Filippo Tolli
205   $a1st ed. 2020.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2020.
215   $a1 online resource (XVIII, 140 p.)
225 1 $aLecture Notes in Mathematics,$x1617-9692 ;$v2267
311 08$a3-030-51606-7 
330   $aThis monograph is the first comprehensive treatment of multiplicity-free induced representations of finite groups as a generalization of finite Gelfand pairs. Up to now, researchers have been somehow reluctant to face such a problem in a general situation, and only partial results were obtained in the one-dimensional case. Here, for the first time, new interesting and important results are proved. In particular, after developing a general theory (including the study of the associated Hecke algebras and the harmonic analysis of the corresponding spherical functions), two completely new highly nontrivial and significant examples (in the setting of linear groups over finite fields) are examined in full detail. The readership ranges from graduate students to experienced researchers in Representation Theory and Harmonic Analysis.
410  0$aLecture Notes in Mathematics,$x1617-9692 ;$v2267
606   $aHarmonic analysis
606   $aGroup theory
606   $aFourier analysis
606   $aAssociative rings
606   $aAssociative algebras
606   $aSpecial functions
606   $aAbstract Harmonic Analysis
606   $aGroup Theory and Generalizations
606   $aFourier Analysis
606   $aAssociative Rings and Algebras
606   $aSpecial Functions
615  0$aHarmonic analysis.
615  0$aGroup theory.
615  0$aFourier analysis.
615  0$aAssociative rings.
615  0$aAssociative algebras.
615  0$aSpecial functions.
615 14$aAbstract Harmonic Analysis.
615 24$aGroup Theory and Generalizations.
615 24$aFourier Analysis.
615 24$aAssociative Rings and Algebras.
615 24$aSpecial Functions.
676   $a515.2433
676   $a515.785
700   $aCeccherini-Silberstein$b Tullio$0503338
702   $aScarabotti$b Fabio
702   $aTolli$b Filippo$f1968-
702   $aBannai$b Eiichi
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910483599603321
996   $aGelfand triples and their Hecke algebras$92278687
997   $aUNINA