On functions on a sphere with zero integrals over circumferences with fixed radius

DOI10.1007/s10958-015-2625-9zbMath1345.43006OpenAlexW2237692693MaRDI QIDQ905436

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

Publication date: 19 January 2016

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-015-2625-9

zbMATH Keywords

spherical meansLegendre functiontheorems of two radii

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Harmonic analysis and spherical functions (43A90)

Cites Work

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• Pompeiu's problem on symmetric spaces
• Pompeiu's problem on spaces of constant curvature
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• Functions on a sphere with vanishing integrals over certain subspheres
• Offbeat Integral Geometry on Symmetric Spaces
• Harmonic Analysis of Mean Periodic Functions on Symmetric Spaces and the Heisenberg Group
• Description of the kernel of the generalized Minkowski transform on the sphere
• Freak Theorem About Functions on a Sphere
• Two radius support theorem for the sphere transform

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