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標題: Titlebook: Gelfand Triples and Their Hecke Algebras; Harmonic Analysis fo Tullio Ceccherini-Silberstein,Fabio Scarabotti,Fil Book 2020 Springer Nature [打印本頁]

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Biomassebestimmung und -charakterisierung,ls in Chapter 13 of our monograph. We refer to the CIMPA lecture notes by Faraut (Analyse harmonique sur les paires de Guelfand et les espaces hyperboliques, CIMPA Lecture Notes, 1980) for an excellent classical reference in the case of Gelfand pairs.
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0075-8434 and therefore accessible to a wide audience..All arguments 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 ge
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Gelfand Triples and Their Hecke Algebras978-3-030-51607-9Series ISSN 0075-8434 Series E-ISSN 1617-9692
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DNA, RNA und IHRE Amplifikation,plane (see [Terras, Fourier analysis on finite groups and applications. London mathematical society student texts, vol 43. Cambridge University Press, Cambridge, 1999, Chapters 19, 20, 21, and 23]). We suppose that . is an odd prime power (cf. Sect. .) and we denote by . (respectively .) the multiplicative characters of . (respectively .).
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https://doi.org/10.1007/978-1-4757-9424-3Let . be a finite group and .?≤?. a subgroup. Recalling the equality between the induced representation . and the permutation representation (., .(.).), (.) yields a ?-algebra isomorphism between the algebra of bi-.-invariant functions on . and the commutant of the representation obtained by inducing to . the trivial representation of ..
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https://doi.org/10.1007/978-3-662-61707-6In this section we consider triples of the form (., ., .) in the particular case when the subgroup .?≤?. is normal.
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Preliminaries,In this chapter, we fix notation and recall some basic facts on linear algebra and representation theory of finite groups that will be used in the proofs of several results in the sequel.
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