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Time-frequency analysis of localization operators associated to the windowed Hankel transform
Journal article   Peer reviewed

Time-frequency analysis of localization operators associated to the windowed Hankel transform

C. Baccar, N.B. Hamadi and H. Herch
Integral transforms and special functions, Vol.27(3), pp.245-258
03/03/2016
DOI: https://doi.org/10.1080/10652469.2015.1117078

Abstract

Bessel operator localization operators Schatten-vonNeumann class trace formula windowed Hankel transform
In the present paper, we define and study a class of pseudodifferential operators known as time-frequency analysis of localization operators which depend on a symbol σ and two windows functions and . We give criteria in terms of a symbol σ for its boundness. We also show that these operators are in Schatten-von Neumann class. Besides, we give a trace formula.

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