A qualitative uncertainty principle for functions generating a Gabor frame on LCA groups

Let G be a locally compact Abelian group. In this paper we study in which way the qualitative uncertainty principle is modified when we consider only functions f ∈ L2(G) which generate a Gabor frame associated with a uniform lattice K in G. This provides us with sharp lower bounds for the measure of the support of such functions and their Plancherel transforms.  2003 Elsevier Science (USA). All rights reserved