Functions Possessing Restricted Mean Value Properties

DOI10.2307/2039139zbMath0251.31004OpenAlexW4250485912MaRDI QIDQ5664195

David C. Heath

Publication date: 1973

Full work available at URL: https://doi.org/10.2307/2039139

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Probabilistic potential theory (60J45)

Related Items

Morera and mean-value type theorems in the hyperbolic disk, A converse to the mean value theorem for harmonic functions, Harmonic Functions and Mass Cancellation, Martin compactification for discrete potential theory and the mean value property, A converse to Gauss’ theorem, MEAN-VALUE PROPERTY ON MANIFOLDS WITH MINIMAL HOROSPHERES, A characterization of harmonic measure and Markov processes whose hitting distributions are preserved by rotations, translations and dilatations, Restricted mean value property for Balayage spaces with jumps, Harmonic functions on metric measure spaces, Mean value properties of harmonic functions and related topics (a survey), One-radius results for supermedian functions on \({\mathbb R^d} , d \leq \) 2, Analyticity and the Pompeiu problem, A Converse to the Mean Value Property on Homogeneous Trees, On the restricted mean property for biharmonic functions, Mean values and harmonic functions

Cites Work

• A zero-one law for a class of random walks and a converse to Gauss' mean value theorem
• Ergodic Theory and Boundaries
• A converse to Gauss’ theorem
• Restricted Mean Values and Harmonic Functions
• The general theory of Markov processes according to Doeblin
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