Inversion formulas for Riemann-Liouville transform and its dual associated with singular partial differential operators-Reference-Cited by-同舟云学术

Inversion formulas for Riemann-Liouville transform and its dual associated with singular partial differential operators

Published:2006 Issue: Volume:2006 Page:1-26
ISSN:0161-1712
Container-title:International Journal of Mathematics and Mathematical Sciences
language:en
Short-container-title:International Journal of Mathematics and Mathematical Sciences

Author:

Baccar C.,Hamadi N. B.,Rachdi L. T.

Abstract

We define Riemann-Liouville transformℛαand its dualtℛαassociated with two singular partial differential operators. We establish some results of harmonic analysis for the Fourier transform connected withℛα. Next, we prove inversion formulas for the operatorsℛα,tℛαand a Plancherel theorem fortℛα.

Publisher

Hindawi Limited

Subject

Mathematics (miscellaneous)

Link

http://downloads.hindawi.com/journals/ijmms/2006/086238.pdf

Reference20 articles.

1. On the Determination of a Function from Spherical Averages

2. Recent applications of fractional calculus to science and engineering

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