Inversion formulas for Riemann-Liouville transform and its dual associated with singular partial differential operators
We define Riemann-Liouville transform ℛα and its dual tℛα associated with two singular partial differential operators. We establish some results of harmonic analysis for the Fourier transform connected with ℛα. Next, we prove inversion formulas for the operators ℛα, tℛα and a Plancherel theorem for...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2006-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS/2006/86238 |