02444nam 2200493 450 99641827800331620221219231045.03-030-51607-510.1007/978-3-030-51607-9(OCoLC)1201562589(CKB)4100000011469524(MiAaPQ)EBC6357670(DE-He213)978-3-030-51607-9(PPN)250220474(EXLCZ)99410000001146952420210223d2020 uy 0engurnn#008mamaatxtrdacontentcrdamediacrrdacarrierGelfand triples and their Hecke algebras aarmonic analysis for multiplicity-free induced representations of finite groups /Tullio Ceccherini-Silberstein, Fabio Scarabotti, Filippo Tolli ; foreword by Eiichi Bannai1st ed. 2020.Cham, Switzerland :Springer,[2020]©20201 online resource (XVIII, 140 p.)Lecture Notes in Mathematics,0075-8434 ;22673-030-51606-7 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.Lecture Notes in Mathematics,0075-8434 ;2267Harmonic analysisHarmonic analysis.515.2433Ceccherini-Silberstein Tullio503338Scarabotti FabioTolli Filippo1968-Bannai EiichiMiAaPQMiAaPQMiAaPQBOOK996418278003316Gelfand triples and their Hecke algebras2278687UNISA