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• W318227211 abstract "We suggest new modifications of Helgason's support theorems and descriptions of the kernels for several projectively equivalent transforms of integral geometry. The paper deals with the hyperplane Radon transform and its dual, the 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. The proofs rely on the properties of the Gegenbauer-Chebyshev integrals which generalize Abel type fractional integrals on the positive half-line." @default.
• W318227211 created "2016-06-24" @default.
• W318227211 creator A5061571255 @default.
• W318227211 date "2014-10-15" @default.
• W318227211 modified "2023-09-27" @default.
• W318227211 title "Gegenbauer-Chebyshev Integrals and Radon Transforms" @default.
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• W318227211 hasPublicationYear "2014" @default.
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