Given a finite group and a subgroup , we develop a Fourier analysis for -conjugacy invariant functions on , without the assumption that is a multiplicity-free subgroup of . We also study the Fourier transform for functions in the center of the algebra of -conjugacy invariant functions on . We show that a recent calculation of Cesi is indeed a Fourier transform of a function in the center of the algebra of functions on the symmetric group that are conjugacy invariant with respect to a Young subgroup.

Fourier analysis of subgroup conjugacy invariant functions on finite groups / Scarabotti, Fabio; Filippo, Tolli. - In: MONATSHEFTE FÜR MATHEMATIK. - ISSN 0026-9255. - STAMPA. - 170:3-4(2013), pp. 465-479. [10.1007/s00605-012-0445-2]

Fourier analysis of subgroup conjugacy invariant functions on finite groups

SCARABOTTI, Fabio;
2013

Abstract

Given a finite group and a subgroup , we develop a Fourier analysis for -conjugacy invariant functions on , without the assumption that is a multiplicity-free subgroup of . We also study the Fourier transform for functions in the center of the algebra of -conjugacy invariant functions on . We show that a recent calculation of Cesi is indeed a Fourier transform of a function in the center of the algebra of functions on the symmetric group that are conjugacy invariant with respect to a Young subgroup.
conjugacy invariant functions; finite fourier transform; gelfand pair
01 Pubblicazione su rivista::01a Articolo in rivista
Fourier analysis of subgroup conjugacy invariant functions on finite groups / Scarabotti, Fabio; Filippo, Tolli. - In: MONATSHEFTE FÜR MATHEMATIK. - ISSN 0026-9255. - STAMPA. - 170:3-4(2013), pp. 465-479. [10.1007/s00605-012-0445-2]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/489676
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