This paper is an invitation to Fourier analysis in the context of reduced twisted C*-crossed products associated with discrete unital twisted C*-dynamical systems. We discuss norm-convergence of Fourier series, multipliers and summation processes. Our study relies in an essential way on the (covariant and equivariant) representation theory of C-dynamical systems on Hilbert C*-modules. It also yields some information on the ideal structure of reduced twisted C*-crossed products.

Fourier series and twisted C*-crossed products / Erik, Bedos; Conti, Roberto. - In: JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS. - ISSN 1069-5869. - 21:(2015), pp. 32-75. [10.1007/s00041-014-9360-3]

Fourier series and twisted C*-crossed products

CONTI, ROBERTO
2015

Abstract

This paper is an invitation to Fourier analysis in the context of reduced twisted C*-crossed products associated with discrete unital twisted C*-dynamical systems. We discuss norm-convergence of Fourier series, multipliers and summation processes. Our study relies in an essential way on the (covariant and equivariant) representation theory of C-dynamical systems on Hilbert C*-modules. It also yields some information on the ideal structure of reduced twisted C*-crossed products.
2015
Fourier series · Reduced twisted C ∗ -crossed product · Decay properties · Multipliers · Equivariant representations · Fejér summation · Abel–Poisson summation · Invariant ideals
01 Pubblicazione su rivista::01a Articolo in rivista
Fourier series and twisted C*-crossed products / Erik, Bedos; Conti, Roberto. - In: JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS. - ISSN 1069-5869. - 21:(2015), pp. 32-75. [10.1007/s00041-014-9360-3]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/586382
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