Characterization of Pseudo-Differential Operators Associated with the Coupled Fractional Fourier Transform
Copyright policy )Characterization of Pseudo-Differential Operators Associated with the Coupled Fractional Fourier Transform
The main aim of this article is to derive certain continuity and boundedness properties of the coupled fractional Fourier transform on Schwartz-like spaces. We extend the domain of the coupled fractional Fourier transform to the space of tempered distributions and then study the mapping properties of pseudo-differential operators associated with the coupled fractional Fourier transform on a Schwartz-like space. We conclude the article by applying some of the results to obtain an analytical solution of a generalized heat equation.
- National Institute of Technology Jamshedpur India
- Banaras Hindu University India
- DePauw University United States
- BANARAS HINDU UNIVERSITY India
- DePaul University United States
Fourier transform, Schwartz space, QA1-939, fractional Fourier transform, pseudo-differential operator, coupled fractional Fourier transform, Mathematics
Fourier transform, Schwartz space, QA1-939, fractional Fourier transform, pseudo-differential operator, coupled fractional Fourier transform, Mathematics
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