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Toeplitz operators for Stockwell transform related to the spherical mean operator
Journal article   Peer reviewed

Toeplitz operators for Stockwell transform related to the spherical mean operator

Khaled Hleili and Manel Hleili
Rendiconti del Circolo matematico di Palermo, Vol.72(3), pp.1961-1991
01/04/2023

Abstract

Mathematics Physical Sciences Science & Technology
In this paper, we define and study the continuous Stockwell transform associated with the spherical mean operator, we prove Plancherel formula, inversion formula, etc. Next, some applications are given as the theory of localization operators associated with this new transform. Finally we give some results on the spectrograms for the continuous Stockwell transform.

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