Research defines pseudo-differential operators involving fractional Fourier transform, suggesting new inequalities.
In this research work, the symbol class Λ (R×R×R×R) is discussed. Then, we give the fundamental properties of this symbol class. Furthermore, the Pseudo-differential operators (p.d.o.) A(x, y,D′x,y) and A(x, y,D′x,y) involving the coupled fractional Fourier transform (CFrFT) Fα1,α2 associated with symbol classes are defined. Finally, inequality and estimate of these operators are also obtained.
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Abhisekh Shekhar (2025) studied this question.
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