Gabor Analysis for a Broad Class of Quasi-Banach Modulation Spaces
We extend the Gabor analysis in  to a broad class of modulation spaces, allowing more general mixed quasi-norm estimates and weights in the definition of the modulation space quasi-norms. For such spaces we deduce invariance and embedding properties, and that the elements admit reconstructible sequence space representations using Gabor frames. We apply these results to show identies between sets of compactly supported elements in modulation spaces and Fourier Lebesgue spaces.
KeywordsGabor expansions modulation spaces quasi-Banach Gelfand–Shilov spaces.
Unable to display preview. Download preview PDF.