On functions on the sphere with zero integrals over geodesics

DOI10.1134/S1064562414060313zbMath1312.53100OpenAlexW2047606955MaRDI QIDQ2254115

Irina M. Savost'yanova, Valery Vladimirovich Volchkov, Vitalii Vladimirovich Volchkov

Publication date: 4 February 2015

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

Full work available at URL: https://doi.org/10.1134/s1064562414060313

zbMATH Keywords

uniqueness2-sphereweighted spacesMinkowski transformationintegro-geometric transformations

Mathematics Subject Classification ID

Radon transform (44A12) Numerical methods for integral transforms (65R10) Integral geometry (53C65)

Cites Work

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• The invertibility of rotation invariant Radon transforms
• Pompeiu transforms on geodesic spheres in real analytic manifolds
• Mean-value theorems for a class of polynomials
• Integral Geometry and Radon Transforms
• Offbeat Integral Geometry on Symmetric Spaces
• Harmonic Analysis of Mean Periodic Functions on Symmetric Spaces and the Heisenberg Group
• Support Theorems for Totally Geodesic Radon Transforms on Constant Curvature Spaces
• Two radius support theorem for the sphere transform

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