A one-radius theorem on a sphere with pricked point

DOI10.13108/2019-11-4-3zbMath1463.53083OpenAlexW3020728370MaRDI QIDQ5137846

Natal'Ya Petrovna Volchkova, Vitalii Vladimirovich Volchkov

Publication date: 2 December 2020

Published in: Ufimskii Matematicheskii Zhurnal (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/ufa487

zbMATH Keywords

convolutionLegendre functionsspherical meansPompeiu transform

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Integral geometry (53C65)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A local version of the two-circles theorem
• Pompeiu's problem on spaces of constant curvature
• The Pompeiu problem on locally symmetric spaces
• On the injectivity of the local Pompeiu transform on the sphere
• Offbeat Integral Geometry on Symmetric Spaces
• Harmonic Analysis of Mean Periodic Functions on Symmetric Spaces and the Heisenberg Group
• Solution of the support problem for several function classes
• Freak Theorem About Functions on a Sphere

This page was built for publication: A one-radius theorem on a sphere with pricked point