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A $(K,\Lambda)$ shift-modulation invariant space is a subspace of $L^2(G)$, that is invariant by translations along elements in $K$ and modulations by elements in $\Lambda$.
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by same author, Balian-Low phenomenon for subspace Gabor frames , J. Math. Phys. 45
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Marcin Bownik, The structure of shift-modulation invariant spaces: the rational case , J. Funct. Anal. 244
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R. A. Kamyabi Gol and R. Raisi Tousi, The structure of shift invariant spaces on a locally compact abelian group , J. Math. Anal. Appl. 340
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Peter G. Casazza, Ole Christensen, and A. J. E. M. Janssen, Weyl-Heisenberg frames, translation invariant systems and the Walnut representation , J. Funct. Anal. 180
2001
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Jean-Pierre Gabardo and Deguang Han, Subspace Weyl-Heisenberg frames , J. Fourier Anal. Appl. 7
2001
Cited alongside, same era.
Carlos Cabrelli and Victoria Paternostro, Shift-invariant spaces on LCA groups , J. Funct. Anal. 258
2059
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