A Strong Converse to Gauss's Mean-Value Theorem

DOI10.2307/2320795zbMath0475.31003OpenAlexW4230365589MaRDI QIDQ3931687

R. B. Burckel

Publication date: 1980

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2320795

zbMATH Keywords

theorem of GaussDirichlet domainrestricted mean-value hypothesis

Mathematics Subject Classification ID

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

Related Items (6)

Semiclassical spectrum of the Dirichlet–Pauli operator on an annulus ⋮ A converse to the mean value theorem for harmonic functions ⋮ Non-degeneracy and quantitative stability of half-harmonic maps from \(\mathbb{R}\) to \(\mathbb{S}\) ⋮ Mean value properties of harmonic functions and related topics (a survey) ⋮ On the uniform algebraic observability of multi-switching linear systems ⋮ Mean values and harmonic functions

This page was built for publication: A Strong Converse to Gauss's Mean-Value Theorem