Le Van Hien

Heisenberg uncertainty principle and Hausdorff-Young theorem associated to refined ( a,b )-Fourier transform

In this paper, we consider a class of refined (a,b)-Fourier integral transforms defined as [Formula: see text] where a, b are nonzero arbitrary complex coefficients such that [Formula: see text]. This transform was introduced in recent work [Asian-Euro. J. Math. 15 (2022), no. 08, 2250151]. First, we establish an analo...