Generalized Stockwell transforms: Spherical mean operators and applications-Reference-Cited by-同舟云学术

Generalized Stockwell transforms: Spherical mean operators and applications

Published:2024-03-26 Issue: Volume: Page:
ISSN:1072-947X
Container-title:Georgian Mathematical Journal
language:en
Short-container-title:

Author:

Ghobber Saifallah¹^ORCID,Mejjaoli Hatem²

Affiliation:

1. Department of Mathematics and Statistics , College of Science , King Faisal University , P. O. Box 400 Al-Ahsa 31982 , Saudi Arabia

2. Department of Mathematics , College of Sciences , Taibah University , P. O. Box 30002 Al Madinah AL Munawarah , Saudi Arabia

Abstract

Abstract The spherical mean operator has been widely studied and has seen remarkable development in many areas of harmonic analysis. In this paper, we consider the Stockwell transform related to the spherical mean operator. Since the study of time-frequency analysis is both theoretically interesting and practically useful, we will study several problems for the generalized Stockwell transform. Firstly, we explore the Shapiro uncertainty principle for this transformation. Next, we will study the boundedness and then the compactness of localization operators related to the generalized Stockwell transform, and finally we will introduce and study its scalogram.

Publisher

Walter de Gruyter GmbH

Link

https://www.degruyter.com/document/doi/10.1515/gmj-2024-2014/pdf

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