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201006 ||| eng |
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|a 9783030516079
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|a Ceccherini-Silberstein, Tullio
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| 245 |
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|a Gelfand Triples and Their Hecke Algebras
|h Elektronische Ressource
|b Harmonic Analysis for Multiplicity-Free Induced Representations of Finite Groups
|c by Tullio Ceccherini-Silberstein, Fabio Scarabotti, Filippo Tolli
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| 250 |
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|a 1st ed. 2020
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| 260 |
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|a Cham
|b Springer International Publishing
|c 2020, 2020
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| 300 |
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|a XVIII, 140 p
|b online resource
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| 653 |
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|a Group Theory and Generalizations
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| 653 |
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|a Associative algebras
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| 653 |
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|a Group theory
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| 653 |
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|a Special Functions
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| 653 |
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|a Harmonic analysis
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| 653 |
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|a Fourier Analysis
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| 653 |
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|a Associative rings
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| 653 |
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|a Abstract Harmonic Analysis
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| 653 |
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|a Special functions
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| 653 |
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|a Associative Rings and Algebras
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| 653 |
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|a Fourier analysis
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| 700 |
1 |
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|a Scarabotti, Fabio
|e [author]
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| 700 |
1 |
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|a Tolli, Filippo
|e [author]
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| 041 |
0 |
7 |
|a eng
|2 ISO 639-2
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| 989 |
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|b Springer
|a Springer eBooks 2005-
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| 490 |
0 |
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|a Lecture Notes in Mathematics
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| 028 |
5 |
0 |
|a 10.1007/978-3-030-51607-9
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| 856 |
4 |
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|u https://doi.org/10.1007/978-3-030-51607-9?nosfx=y
|x Verlag
|3 Volltext
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| 082 |
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|a 515.785
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| 520 |
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|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
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