Abelian and representation theorem for generalized Sumudu transform

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.

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.

Homotopy Analysis Sumudu Transform Method for Nonlinear Equations

A generalized sampling theorem for locally compact abelian groups

We present a sampling theorem for locally compact abelian groups. The sampling sets are finite unions of cosets of a closed subgroup. This generalizes the well-known case of non-equidistant but periodic sampling on the real line. For non-bandlimited functions an L1-type estimate for the aliasing error is given. We discuss the application of the theorem to a class of sampling sets in Rs; give a ...

GENERALIZED PRINCIPAL IDEAL THEOREM FOR MODULES

The Generalized Principal Ideal Theorem is one of the cornerstones of dimension theory for Noetherian rings. For an R-module M, we identify certain submodules of M that play a role analogous to that of prime ideals in the ring R. Using this definition, we extend the Generalized Principal Ideal Theorem to modules.