On Riesz duals for the Gabor system on LCA groups (2307.09895v2)

Published 19 Jul 2023 in math.FA

Abstract: In this paper, we analyse the circumstances in which the adjoint Gabor system is an R-dual of a given Gabor frame in the context of separable uniform time-frequency lattices in locally compact abelian groups. In this regard, we also prove a necessary condition for a Gabor Bessel sequence in this setting to be complete.

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