Pseudo-differential operators associated with the gyrator transform

In this present work, a brief introduction to the gyrator transform and its fundamental properties are given. {The gyrator transform of tempered distributions is being discussed}. This article made further discussion on the boundedness properties of pseudo-differential operators associated with the gyrator transform on Schwartz space as well as on Sobolev space.

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Publication Details

Journal
Hacettepe Journal of Mathematics and Statistics
Published
2025-01-27
DOI
https://doi.org/10.15672/hujms.1471348
Primary Topic
Mathematical Analysis and Transform Methods
Type
article
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article

Pseudo-differential operators associated with the gyrator transform

Akhilesh Prasad, Kanailal Mahato, Shubhanshu Arya
Hacettepe Journal of Mathematics and Statistics
Mathematical Analysis and Transform Methods
article

Pseudo-differential operators associated with the gyrator transform

Akhilesh Prasad, Kanailal Mahato, Shubhanshu Arya
article en

Abstract

In this present work, a brief introduction to the gyrator transform and its fundamental properties are given. {The gyrator transform of tempered distributions is being discussed}. This article made further discussion on the boundedness properties of pseudo-differential operators associated with the gyrator transform on Schwartz space as well as on Sobolev space.

Hacettepe Journal of Mathematics and StatisticsVol. 54(4)
Indian Institute of Technology Dhanbad (IN), Banaras Hindu University (IN)
Openalex Percentile: Top 98%
Mathematical Analysis and Transform Methods
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