| 书目名称 | Gelfand Triples and Their Hecke Algebras |
| 副标题 | Harmonic Analysis fo |
| 编辑 | Tullio Ceccherini-Silberstein,Fabio Scarabotti,Fil |
| 视频video | |
| 概述 | This is the first book on an essentially new subject. It will serve as a reference for future developments..The treatment is self-contained and therefore accessible to a wide audience..All arguments a |
| 丛书名称 | Lecture Notes in Mathematics |
| 图书封面 |  |
| 描述 | 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.. |
| 出版日期 | Book 2020 |
| 关键词 | Gelfand Pair; General Linear Group over a Finite Field; Hecke Algebra; Induced Representation; Spherical |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-030-51607-9 |
| isbn_softcover | 978-3-030-51606-2 |
| isbn_ebook | 978-3-030-51607-9Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
| issn_series | 0075-8434 |
| copyright | Springer Nature Switzerland AG 2020 |
发表于 2025-3-21 19:33:17
