Necessary and sufficient condition for a domain, which fails to have Pompeiu property, to be a ball

DOI10.1515/jiip.1998.6.2.165zbMath0915.31003OpenAlexW1975271796MaRDI QIDQ4223697

Alexander G. Ramm

Publication date: 20 June 1999

Published in: Journal of Inverse and Ill-Posed Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jiip.1998.6.2.165

zbMATH Keywords

Fourier transformPompeiu problemeigenspace of Dirichlet Laplacian

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Integral operators (45P05) Integral operators (47G10) Boundary value and inverse problems for harmonic functions in higher dimensions (31B20)

Related Items (2)

Solution to the Pompeiu problem and the related symmetry problem ⋮ Symmetry problem

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