Sets with the Pompeiu property on the plane and on the sphere

DOI10.1134/S0001434610010086zbMath1200.32002OpenAlexW1994191007MaRDI QIDQ1957014

Valery Vladimirovich Volchkov, Vitalii Vladimirovich Volchkov

Publication date: 24 September 2010

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

Full work available at URL: https://doi.org/10.1134/s0001434610010086

zbMATH Keywords

Laplace operatorPompeiu problemPompeiu propertyKoch snowflakebiangle, spherical half-diskMorera-type theoremnon-Lipscitz boundary

Mathematics Subject Classification ID

Holomorphic functions of several complex variables (32A10)

Related Items (1)

The Pompeiu property and approximation in \(L^{p}\) by linear combinations of shifts

Cites Work

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• Le problème de Pompeiu local. (Local Pompeiu problem)
• Pompeiu's problem on symmetric spaces
• A partial solution of the Pompeiu problem
• Propagation of singularities from singular and infinite points in certain complex-analytic Cauchy problems and an application to the Pompeiu problem
• On a problem of Zalcman and its generalizations
• Spectral synthesis and the Pompeiu problem
• The Pompeiu Problem
• Harmonic Analysis and the Pompeiu Problem
• Univalent Functions and the Pompeiu Problem
• Convolution equations in many-dimensional domains and on the Heisenberg reduced group
• A new result on the Pompeiu problem
• Freak Theorem About Functions on a Sphere

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