Characterization of Weyl operator in terms of Mehler–Fock transform

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Characterization of Weyl operator in terms of Mehler–Fock transform

Year : 2020

Publisher : John Wiley and Sons LtdSouthern GateChichester, West SussexPO19 8SQvgorayska@wiley.com

Source Title : Mathematical Methods in the Applied Sciences

Document Type :

Abstract

In this paper, we define the windowed-Mehler–Fock transform and introduce the corresponding Weyl transform. Further, we examine the boundedness of windowed-Mehler–Fock transform in Lebesgue space and establish some of its fundamental properties. Also, we give the criteria of boundedness and compactness of Weyl transform in Lebesgue space.