Geodesic
Generalized pseudo-differential operators associated with symbol classes involving fractional Fourier transform
Serdica Mathematical Journal, Tome 48 (2022) no. 4, pp. 247-270.

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Generalized pseudo-differential operators \(A(x,\Delta'_x)\) and \(\mathcal{A}(x,\Delta'_x)\) involving fractional Fourier transform (FrFT) associated with symbol-classes are defined and respective symbol classes are introduced. Product and commutators of the generalized pseudo-differential operators are investigated.
Keywords: fractional Fourier transform, symbol classes, tempered distribution, pseudo-differential operators, Sobolev space, 35S05, 46E10, 46E35, 46F05, 47G30, 46F12 
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     title = {Generalized pseudo-differential operators associated with symbol classes involving fractional {Fourier} transform},
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Shekhar, Abhisekh; Agrawal, Nawin. Generalized pseudo-differential operators associated with symbol classes involving fractional Fourier transform. Serdica Mathematical Journal, Tome 48 (2022) no. 4, pp. 247-270. http://geodesic.mathdoc.fr/item/SMJ2_2022_48_4_a3/