Radon transforms and Gegenbauer–Chebyshev integrals, II; examples
Document Type
Article
Publication Date
12-1-2017
Abstract
We transfer the results of Part I related to the modified support theorem and the kernel description of the hyperplane Radon transform to totally geodesic transforms on the sphere and the hyperbolic space, the spherical slice transform, and the spherical mean transform for spheres through the origin. The assumptions for functions are formulated in integral terms and close to minimal.
Publication Source (Journal or Book title)
Analysis and Mathematical Physics
First Page
349
Last Page
375
Recommended Citation
Rubin, B. (2017). Radon transforms and Gegenbauer–Chebyshev integrals, II; examples. Analysis and Mathematical Physics, 7 (4), 349-375. https://doi.org/10.1007/s13324-016-0145-5