On reflection of harmonic functions in surfaces of revolution

DOI10.1080/17476939108814489zbMath0702.31004OpenAlexW1999301433MaRDI QIDQ3480352

Dmitry Khavinson

Publication date: 1991

Published in: Complex Variables, Theory and Application: An International Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476939108814489

zbMATH Keywords

reflection principlereflection about axially symmetric surfaces

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05)

Related Items (8)

On point to point reflection of harmonic functions across real-analytic hypersurfaces in \(\mathbb{R}^ n\) ⋮ Non-algebraic quadrature domains ⋮ On \(\mathrm{Lip}( \omega )\)-continuity of the operator of harmonic reflection over boundaries of simple Carathéodory domains ⋮ On -reflection of harmonic functions and -approximation by harmonic polynomials ⋮ On the higher-dimensional harmonic analog of the Levinson \(\log\log\) theorem ⋮ Dirichlet's problem with entire data posed on an ellipsoidal cylinder ⋮ Remarks on the local Hopf’s lemma ⋮ Singularities of the solution to a certain Cauchy problem and an application to the Pompeiu problem

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