LEADER 02446nam 2200493 450 001 9910483599603321 005 20221219231045.0 010 $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(EXLCZ)994100000011469524 100 $a20210223d2020 uy 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aGelfand triples and their Hecke algebras $eaarmonic analysis for multiplicity-free induced representations of finite groups /$fTullio Ceccherini-Silberstein, Fabio Scarabotti, Filippo Tolli ; foreword by Eiichi Bannai 205 $a1st ed. 2020. 210 1$aCham, Switzerland :$cSpringer,$d[2020] 210 4$dİ2020 215 $a1 online resource (XVIII, 140 p.) 225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v2267 311 $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,$x0075-8434 ;$v2267 606 $aHarmonic analysis 615 0$aHarmonic analysis. 676 $a515.2433 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