On the Pompeiu problem and its generalizations

DOI10.1007/BF01571095zbMath0816.31001OpenAlexW1989211433MaRDI QIDQ1344976

Valery Vladimirovich Volchkov

Publication date: 9 March 1995

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

Full work available at URL: https://doi.org/10.1007/bf01571095

zbMATH Keywords

Fourier transformBessel functionPompeiu problemdomain identification

Mathematics Subject Classification ID

Functions of several variables (26B99) Boundary value and inverse problems for harmonic functions in higher dimensions (31B20)

Cites Work

• A reconsideration of the 'three squares' problem
• Functions with zero integrals over cubes
• A partial solution of the Pompeiu problem
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