We consider the Radon transform R , β£ G 0, on the Laguerre hypergroup β£ w w Ks 0, qΟ± β«.ή=β¬ We characterize a space of infinitely differentiable and rapidly decreasing functions together with their derivatives such that R is a bijection β£ from this space onto itself. We establish an inversion formula
Generalized wavelets and inversion of the radon transform on the laguerre hypergroup
β Scribed by Bai Linglan; He Jianxun
- Book ID
- 112908606
- Publisher
- Springer
- Year
- 2002
- Tongue
- English
- Weight
- 495 KB
- Volume
- 18
- Category
- Article
- ISSN
- 1573-8175
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π SIMILAR VOLUMES
We prove that under certain conditions the inversion problem for the generalized Radon transform reduces to solvinga Fredholm integral equation and we obtain the asymptoticexpansionof the symbolof the integral operator in this equation. We consider applications of the generalized Radon transform to
The present paper deals with the computational complexity of the discrete inverse problem of reconstructing ΓΏnite point sets and more general functionals with ΓΏnite support that are accessible only through some of the values of their discrete Radon transform. It turns out that this task behaves quit