We consider the Radon transform R , ␣ G 0, on the Laguerre hypergroup ␣ w w Ks 0, qϱ .ޒ= We characterize a space of infinitely differentiable and rapidly decreasing functions together with their derivatives such that R is a bijection ␣ from this space onto itself. We establish an inversion formula
Inversion of the Lions Transmutation Operators Using Generalized Wavelets
✍ Scribed by K. Triméche
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 302 KB
- Volume
- 4
- Category
- Article
- ISSN
- 1063-5203
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✦ Synopsis
We consider in this work the Lions transmutation operators associated with the Lions differential operator ∆ on ]o, +∞[. Using these operators we give relations between the generalized continuous wavelet transform and the classical continuous wavelet transform on [o, +∞[, and we deduce the formulas which give the inverse operators of the Lions transmutation operators.
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