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Boundedness and compactness of localization operators associated with the Dunkl-Wigner transform
Journal article   Peer reviewed

Boundedness and compactness of localization operators associated with the Dunkl-Wigner transform

Hatem Mejjaoli and Khalifa Trimeche
Integral transforms and special functions, Vol.29(4), pp.310-334
03/04/2018
DOI: https://doi.org/10.1080/10652469.2018.1429429

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
We introduce the notion of localization operators associated with the Dunkl-Wigner transform. We prove that they are in the trace class S-1 and give a trace formula for them. The boundedness and compactness of these operators on L-k(p) (R-d), 1 <= p <= infinity are also studied.

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