in this paper, using a generalized translation operator, we prove theestimates for the generalized fourier-bessel transform in the space l2 on certainclasses of functions.

some estimates are proved for the generalized fourier-bessel transform in the space (l^2) (alpha,n)-index certain classes of functions characterized by the generalized continuity modulus.

the aim of this paper is to prove new quantitative uncertainty principle for the generalized fourier transform connected with a dunkl type operator on the real line. more precisely we prove an lp-lq-version of morgan's theorem.

We study a generalization of the Fourier-Mukai transform for smooth projective varieties. We nd conditions under which the transform satisses an inversion theorem. This is done by considering a series of four conditions on such transforms which increasingly constrain them. We show that a necessary condition for the existence of such transforms is that the rst Chern classes must vanish and the d...

We consider a generalized version of the sign uncertainty principle for Fourier transform, first proposed by Bourgain, Clozel and Kahane in 2010 revisited Cohn Goncalves 2019. In our setup, signs function its transform resonate with generic given $P$ outside ball. One essentially wants to know if how soon this resonance can happen, when facing suitable competing weighted integral condition. The...

Some estimates are proved for the generalized Fourier-Bessel transform in the space (L^2) (alpha,n)-index certain classes of functions characterized by the generalized continuity modulus.

The 2-D Fourier transform has been generalized into the 2-D separable fractional Fourier transform (replaces 1-D Fourier transform by 1-D fractional Fourier transform for each variable) and the 2-D separable canonical transform (further replaces the fractional Fourier transform by canonical transform) in [3]. It also has been generalized into the 2-D unseparable fractional Fourier transform wit...