Converses of Gauss' Theorem on the Arithmetic Mean
From MaRDI portal
Publication:4756584
DOI10.2307/1989835zbMath0009.11205OpenAlexW4248750555MaRDI QIDQ4756584
Publication date: 1934
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/1989835
Related Items (14)
A converse to the mean value theorem for harmonic functions ⋮ \(p\)-harmonic functions by way of intrinsic mean value properties ⋮ Restricted mean value property on Riemannian manifolds ⋮ Asymptotic regularity for a random walk over ellipsoids ⋮ Asymptotic mean value Laplacian in metric measure spaces ⋮ A characterization of harmonic measure and Markov processes whose hitting distributions are preserved by rotations, translations and dilatations ⋮ Mean value properties of solutions to the Helmholtz and modified Helmholtz equations ⋮ A priori Hölder and Lipschitz regularity for generalized \(p\)-harmonious functions in metric measure spaces ⋮ Normal families of functions for subelliptic operators and the theorems of Montel and Koebe ⋮ One Radius Theorem for the Eigenfunctions of the Invariant Laplacian ⋮ Mean value properties of harmonic functions and related topics (a survey) ⋮ Analyticity and the Pompeiu problem ⋮ A Converse to the Mean Value Property on Homogeneous Trees ⋮ Mean values and harmonic functions
This page was built for publication: Converses of Gauss' Theorem on the Arithmetic Mean