Abelian Theorem for Generalized Mellin-Whittaker Transform

Generalized Product Theorem for the Mellin Transform and Its Applications

GENERALIZATION OF TITCHMARSH'S THEOREM FOR THE GENERALIZED FOURIER-BESSEL TRANSFORM

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.

Mellin transforms of Whittaker functions

In this note we show that for an arbitrary semisimple Lie group and any admissible irreducible Banach representation the Mellin transforms of Whittaker functions extend to meromorphic functions. We determine the possible poles.

Mellin transforms of p-adic Whittaker functions

AN LP-LQ-VERSION OF MORGAN’S THEOREM FOR THE GENERALIZED BESSEL TRANSFORM

n this article, we prove An Lp-Lq-version of Morgan’s theorem for the generalized Bessel transform.