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On the Weinstein-Wigner transform and Weinstein-Weyl transform
Journal article

On the Weinstein-Wigner transform and Weinstein-Weyl transform

Ahmed Saoudi
Journal of pseudo-differential operators and applications, Vol.11(1), pp.1-14
01/03/2020
DOI: https://doi.org/10.1007/s11868-019-00313-2

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this paper, we define and study the Weinstein-Wigner transform and we prove its inversion formula. Next, we introduce and study the Weinstein-Weyl transform W sigma with symbol sigma and we give an integral relation between it and the Weinstein-Wigner transform. At last, we give criteria in terms of sigma for boundedness and compactness of the transform W sigma.

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