Original version
Journal of Fourier Analysis and Applications. 2015, 21 (1), 32-75, DOI: http://dx.doi.org/10.1007/s00041-014-9360-3
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.