Pseudo-differential operators associated with the gyrator transform

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

References

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