Radon transforms and Gegenbauer–Chebyshev integrals, I
Document Type
Article
Publication Date
6-1-2017
Abstract
We suggest new modifications of the Helgason’s support theorem and description of the kernel for the hyperplane Radon transform and its dual. The assumptions for functions are formulated in integral terms and close to minimal. The proofs rely on the properties of the Gegenbauer–Chebyshev integrals which generalize Abel type fractional integrals on the positive half-line.
Publication Source (Journal or Book title)
Analysis and Mathematical Physics
First Page
117
Last Page
150
Recommended Citation
Rubin, B. (2017). Radon transforms and Gegenbauer–Chebyshev integrals, I. Analysis and Mathematical Physics, 7 (2), 117-150. https://doi.org/10.1007/s13324-016-0133-9
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