Radon transforms and Gegenbauer–Chebyshev integrals, I

Boris Rubin

doi:10.1007/s13324-016-0133-9

Radon transforms and Gegenbauer–Chebyshev integrals, I

Boris Rubin^*

^*Corresponding author for this work

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

1 Scopus citations

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.

Original language	English
Pages (from-to)	117-150
Number of pages	34
Journal	Analysis and Mathematical Physics
Volume	7
Issue number	2
DOIs	https://doi.org/10.1007/s13324-016-0133-9
State	Published - 1 Jun 2017
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2016, Springer International Publishing.

Keywords

Gegenbauer–Chebyshev fractional integrals
Radon transform
Support theorems

Access to Document

10.1007/s13324-016-0133-9

Cite this

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Radon transforms and Gegenbauer–Chebyshev integrals, I

Abstract

Bibliographical note

Keywords

Access to Document

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