A local two-radii theorem for quasianalytic classes of functions

DOI10.1007/S11006-006-0164-XzbMath1117.43004OpenAlexW2011360966MaRDI QIDQ881131

Valery Vladimirovich Volchkov

Publication date: 21 May 2007

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11006-006-0164-x

zbMATH Keywords

spherical harmonicsHaar measurespherical meansBessel functiontwo-radii theoremLebesgue measurepartial differential operatorquasianalyticity

Mathematics Subject Classification ID

Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Spherical harmonics (33C55) Summability methods on groups, semigroups, etc. (43A55) Real-analytic functions (26E05)

Cites Work

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• Inversion of the local Pompeiu transform
• A local version of the two-circles theorem
• The 2-circle and 2-disk problems on trees
• Pompeiu's problem on symmetric spaces
• On a problem of Zalcman and its generalizations
• The final version of the mean value theorem for harmonic functions
• Two radii theorems on constant curvature spaces
• New mean value theorems for polyanalytic functions
• Inversion of the local Pompeiu transform in real and complex hyperbolic spaces: Case of two balls
• Mean-value theorems for a class of polynomials
• Analyticity and the Pompeiu problem
• NEW THEOREMS ON THE MEAN FOR SOLUTIONS OF THE HELMHOLTZ EQUATION
• Solution of the support problem for several function classes
• Injectivity sets for the Radon transform over a sphere
• ON THE NUMBER OF TRIANGULATION SIMPLEXES
• A definitive version of the local two-radii theorem

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