Pseudo-differential operators associated with the gyrator transform

Year 2025, Volume: 54 Issue: 4, 1426 - 1441, 29.08.2025

Kanailal Mahato , Shubhanshu Arya , Akhilesh Prasad

https://doi.org/10.15672/hujms.1471348

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.

Keywords

Fourier transform , Fractional Fourier transform , Gyrator transform , tempered distribution , pseudo-differential operator

Ethical Statement

Not applicable

Supporting Institution

Not applicable

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