\(RK_{\gamma }\)-transform with \(\gamma \in (0, 2]\) of weighted spherical means of functions and Asgeirsson relations

DOI10.1134/S106456241105005XzbMath1237.44003MaRDI QIDQ656395

Lev N. Lyakhov

Publication date: 17 January 2012

Published in: Doklady Mathematics (Search for Journal in Brave)

zbMATH Keywords

inversion formularadial functionRadon-Kipriyanov transformweighted spherical mean

Mathematics Subject Classification ID

Radon transform (44A12)

Related Items (2)

The Radon-Kipriyanov transform of the generalized spherical mean of a function ⋮ Radon-Kipriyanov transform of weighted Lebesgue classes of compactly supported functions

Cites Work

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• Inversion of the Kipriyanov-Radon transform by means of Grünwald-Letnikov-Riesz fractional differentiation
• Radon and Radon-Kipriyanov transforms of spherically symmetric functions

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