A local two-radii theorem on the sphere

DOI10.1090/S1061-0022-05-00861-7zbMath1066.43004OpenAlexW1555836373MaRDI QIDQ3022465

Vitalii Vladimirovich Volchkov

Publication date: 29 June 2005

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s1061-0022-05-00861-7

zbMATH Keywords

spherical harmonicstwo-radii theoremPompeiu transformation

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Harmonic analysis on homogeneous spaces (43A85) Spherical harmonics (33C55)

Related Items (2)

The removability problem for functions with zero spherical means ⋮ Conic injectivity sets for the Radon transformation on spheres

Cites Work

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• A local version of the two-circles theorem
• Pompeiu's problem on symmetric spaces
• Uniqueness theorems for multiple lacunary trigonometric series
• A local two-radius theorem on symmetric spaces.
• Inversion of the local Pompeiu transform in real and complex hyperbolic spaces: Case of two balls
• Functions on a sphere with vanishing integrals over certain subspheres
• Harmonic Analysis and the Pompeiu Problem
• NEW THEOREMS ON THE MEAN FOR SOLUTIONS OF THE HELMHOLTZ EQUATION
• Functions with zero ball means on the quaternionic hyperbolic space
• Theorems on ball mean values in symmetric spaces
• Freak Theorem About Functions on a Sphere

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