Radon transforms and Gegenbauer–Chebyshev integrals, II; examples

Boris Rubin

doi:10.1007/s13324-016-0145-5

Radon transforms and Gegenbauer–Chebyshev integrals, II; examples

Boris Rubin^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

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.

Original language	English
Pages (from-to)	349-375
Number of pages	27
Journal	Analysis and Mathematical Physics
Volume	7
Issue number	4
DOIs	https://doi.org/10.1007/s13324-016-0145-5
State	Published - 1 Dec 2017
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2016, Springer International Publishing.

Keywords

Funk transform
Radon transforms
Spherical means
Spherical slice transform
Support theorems
Totally geodesic transforms

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10.1007/s13324-016-0145-5

Cite this

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AB - 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.

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KW - Spherical means

KW - Spherical slice transform

KW - Support theorems

KW - Totally geodesic transforms

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Radon transforms and Gegenbauer–Chebyshev integrals, II; examples

Abstract

Bibliographical note

Keywords

Access to Document

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