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Paper's Title:

Weyl Transform Associated With Bessel and Laguerre Functions


E. Jebbari and M . Sifi

Department of Mathematics Faculty of Sciences of Tunis,
1060 Tunis,


We define and study the Wigner transform associated to Bessel and Laguerre transform and we prove an inversion formula for this transform. Next we consider a class of symbols which allows to define the Bessel-Laguerre Weyl transform. We establish a relation between the Wigner and Weyl transform. At last, we discuss criterion in term of symbols for the boundedness and compactness of the Bessel-Laguerre Weyl transform.

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