Gabor Analysis for a Broad Class of Quasi-Banach Modulation Spaces

  • Joachim ToftEmail author
Part of the Operator Theory: Advances and Applications book series (OT, volume 245)


We extend the Gabor analysis in [13] 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.


Gabor expansions modulation spaces quasi-Banach Gelfand–Shilov spaces. 


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Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  1. 1.Department of MathematicsLinnæus UniversityVäxjöSweden

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