Sumario: | A (K;?) shift-modulation invariant space is a subspace of L 2(G) that is invariant under translations along elements in K and modulations by elements in ?. Here G is a locally compact abelian group, and K and ? are closed subgroups of G and the dual group ^ G, respectively. We provide a characterization of shift-modulation invariant spaces when K and ? are uniform lattices. This extends previous results known for L 2(R d). We develop berization techniques and suitable range functions adapted to LCA groups needed to provide the desired characterization. © Instytut Matematyczny PAN, 2012.
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