A Parseval-Goldstein type theorem on the widder potential transform and its applications

the investigation of the relationship between type a and type b personalities and quality of translation

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A Transference Theorem for the Dunkl Transform and Its Applications

For a family of weight functions invariant under a finite reflection group, we show how weighted Lp multiplier theorems for Dunkl transform on the Euclidean space Rd can be transferred from the corresponding results for hharmonic expansions on the unit sphere Sd of Rd+1. The result is then applied to establish a Hörmander type multiplier theorem for the Dunkl transform and to show the convergen...

On Q-integral Transforms and Their Applications

In this paper, we introduce a q-analogue of the P-Widder transform and give a Parseval-Goldstein type theorem. Furthermore, we evaluate the q-Laplace transform of a product of q-Bessel functions. Several special cases of our results are also pointed out.

Identities and Parseval type relations for the L2-transform

In the present paper, the authors introduce identities for the L2-transform which yield a Parseval type relationship for the L2-transform. The Parseval type relationship proven in this paper give rise to useful corollaries for evaluating indefinite integrals of special functions. Some examples are also given as illustrations of the results presented here. ! 2007 Elsevier Inc. All rights reserved.

Generalized Product Theorem for the Mellin Transform and Its Applications