Wiener Estimates on Modulation Spaces

  • Joachim ToftEmail author
Part of the Applied and Numerical Harmonic Analysis book series (ANHA)


We characterise modulation spaces by Wiener estimates on the short-time Fourier transforms. We use the results to refine some formulae for periodic distributions with Lebesgue estimates on their coefficients.


Wiener spaces Modulation spaces Gelfand-Shilov Quasi-Banach spaces Coorbit spaces 

Mathematics Subject Classification (2010)

Primary 42C20 43A32 42B35 46E10; Secondary 46A16 35A22 37A05 46E35 



I am very grateful to Professor Hans Feichtinger for reading parts of earlier versions of the paper and giving valuable comments, leading to improvements of the content and the style.


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Authors and Affiliations

  1. 1.Department of MathematicsLinnæus UniversityVäxjöSweden

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