The Journal of the Indian Mathematical Society

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Characterization of Product of Pseudo-Differential Operators Involving Fractional Fourier Transform


Affiliations
1 Department of Mathematics, Galgotias University, Greater Noida, 226001, India
2 Department of Mathematics, DCSK P. G. College, Mau - 275101, India
3 Department of Mathematical Sciences, Indian Institute of Technology (BHU), Varanasi - 221005, India
     

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Characterizations of product of generalized pseudo-differential operators associated with symbol σ(x,ξ) ∈ Sm are discussed by exploiting the fractional Fourier transform.

Keywords

Fractional Fourier transform, Pseudo-differential operator, Adjoint operator
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  • Characterization of Product of Pseudo-Differential Operators Involving Fractional Fourier Transform

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Authors

Jitendra Kumar Dubey
Department of Mathematics, Galgotias University, Greater Noida, 226001, India
Pradeep Kumar Pandey
Department of Mathematics, DCSK P. G. College, Mau - 275101, India
S. K. Upadhyay
Department of Mathematical Sciences, Indian Institute of Technology (BHU), Varanasi - 221005, India

Abstract


Characterizations of product of generalized pseudo-differential operators associated with symbol σ(x,ξ) ∈ Sm are discussed by exploiting the fractional Fourier transform.

Keywords


Fractional Fourier transform, Pseudo-differential operator, Adjoint operator

References





DOI: https://doi.org/10.18311/jims%2F2021%2F26085