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

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

International Journal of Mathematics and Mathematical Sciences, 2006, vol. 2006, 1-26

Abstract:

We define Riemann-Liouville transform ℛ α and its dual t ℛ α associated with two singular partialdifferential operators. We establish some results of harmonicanalysis for the Fourier transform connected with ℛ α . Next, we prove inversion formulas for theoperators ℛ α , t ℛ α and a Plancherel theorem for t ℛ α .

Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:086238

DOI: 10.1155/IJMMS/2006/86238

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