The structure of shift-modulation invariant spaces: the rational case

DOI10.1016/j.jfa.2006.11.003zbMath1121.46027OpenAlexW2130025629MaRDI QIDQ880092

Marcin Bownik

Publication date: 10 May 2007

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2006.11.003

zbMATH Keywords

dimension functionZak transformGabor theoryshift modulation invariant space

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Invariant subspaces of linear operators (47A15) Linear operators on function spaces (general) (47B38) General harmonic expansions, frames (42C15) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15)

Related Items (14)

Time-frequency shift invariance of Gabor spaces generated by integer lattices ⋮ Oblique duals associated with rational subspace Gabor frames ⋮ Characterization and perturbation of Gabor frame sequences with rational parameters ⋮ Regular representations of time-frequency groups ⋮ Frames generated by compact group actions ⋮ The structure of translation-invariant spaces on locally compact abelian groups ⋮ Multiplication-invariant operators and the classification of LCA group frames ⋮ Summation and intersection of refinable shift invariant spaces ⋮ Constructive realization of dual systems for generators of multi-window spline-type spaces ⋮ Quasi-greedy systems of integer translates ⋮ Co-compact Gabor systems on locally compact abelian groups ⋮ Orthonormality of wavelet system on the Heisenberg group ⋮ Subspaces of \(L^2(G)\) invariant under translation by an abelian subgroup ⋮ Frame properties of shifts of prolate spheroidal wave functions

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