Mean value integral equations and the Helmholtz equation

DOI10.1007/BF03322178zbMath0872.39013OpenAlexW2083956348MaRDI QIDQ1923647

Marc Chamberland

Publication date: 16 September 1997

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03322178

zbMATH Keywords

Helmholtz equationspectral synthesiscontinuous functionsmean value propertiesmean value integral equations

Mathematics Subject Classification ID

Functional equations for real functions (39B22) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Spectral sets of linear operators (47A25) Linear integral equations (45A05)

Related Items

Mean value properties of harmonic functions and related topics (a survey)

Cites Work

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• Counterexamples to a problem of L. Schwartz
• A functional equation of J. A. Baker involving integral means
• Mean values and differential equations
• Spectral synthesis and the Pompeiu problem
• Théorie générale des fonctions moyenne-périodiques
• Offbeat Integral Geometry