The mean value property (corrected version)
Vilmos Totik
TL;DR
This paper explores fundamental mean value properties and their relationships with harmonic functions and random walks, providing insights into classical potential theory and stochastic processes.
Contribution
It offers a corrected version of the mean value property, clarifying its connections to harmonic functions and stochastic processes.
Findings
Clarifies the mean value property in harmonic analysis
Establishes links between mean value properties and random walks
Provides corrected formulations for classical results
Abstract
The paper deals with some elementary problems about various mean value properties and their connections to harmonic functions and random walks.
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Taxonomy
TopicsProbability and Risk Models · Advanced Banach Space Theory · Stochastic processes and financial applications