arXiv:2002.03648 Abstract | arXiv Analytics

arXiv:2002.03648 [math.FA]Abstract References Reviews Resources

Note on the Wigner distribution and Localization Operators in the quasi-Banach setting

Published 2020-02-10Version 1

Time-frequency analysis have played a crucial role in the development of localization operators in the last twenty years. We present its applications to the study of boundedness and Schatten Class property for such operators. In particular, new sufficient conditions for such operators to belong to the Schatten-von Neumann Class $S_p$, $0<p<1$, are exhibited. As a byproduct, sharp continuity results for the Wigner distribution are also presented.

Comments: 17 pages

Categories: math.FA

Subjects: 47G30, 35S05

Keywords: localization operators, wigner distribution, quasi-banach setting, schatten-von neumann class, sharp continuity results

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