Shift-modulation invariant spaces on LCA groups

作者：Cabrelli Carlos^*; Paternostro Victoria

来源：Studia Mathematica, 2012, 211(1): 1-19.

DOI：10.4064/sm211-1-1

• shift-modulation invariant space
• LCA groups
• range functions
• fibers

A (K, A) 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 A. Here G is a locally compact abelian group, and K and Lambda are closed subgroups of G and the dual group (G) over cap, respectively. %26lt;br%26gt;We provide a characterization of shift-modulation invariant spaces when K and Lambda are uniform lattices. This extends previous results known for L-2 (R-d). We develop fiberization techniques and suitable range functions adapted to LCA groups needed to provide the desired characterization.

• 出版日期2012