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
An application to probability laws of the noncontinuity of the inverse Radon transform
β Scribed by Eddy Mayer-Wolf
- Publisher
- Elsevier Science
- Year
- 1990
- Tongue
- English
- Weight
- 277 KB
- Volume
- 10
- Category
- Article
- ISSN
- 0167-7152
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π SIMILAR VOLUMES
Explicit inversion formulas are obtained for the analytic family of fractional integrals (T : f )(x)=# n, : S n |xy| :&1 f ( y) dy on the unit sphere in R n+1 . Arbitrary complex : and n 2 are considered. In the ease :=0 the integral T : f coincides with the spherical Radon transform. For :>1 (:{1,
## Abstract The Radon transform __R__(__p__, ΞΈ), ΞΈβ__S__^__n__β1^, __p__ββ^1^, of a compactly supported function __f__(__x__) with support in a ball __B__~__a__~ of radius a centred at the origin is given for all \documentclass{article}\pagestyle{empty}\begin{document}$ \theta \in \mathop {S^{n - 1