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The local character of kernel functions in axiomatic potential theory

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This article is published in Communications on Pure and Applied Mathematics.The article was published on 1974-03-01. It has received 2 citations till now. The article focuses on the topics: Kernel embedding of distributions & Reproducing kernel Hilbert space.

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Potential theory on harmonic spaces

TL;DR: In this paper, the authors define Harmonic Spaces and Hyper-Harmonic Sheaves, and present a representation of positive super-harmonic functions on these spaces, which they call Positive Superharmonic Functions and Potentials.
Journal ArticleDOI

Minimal positive harmonic functions

TL;DR: In this paper, the Poisson-Stieltjes integral formula for the circle or the sphere has been studied from the point of view of the class of domains for which it holds.
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Recherches axiomatiques sur la théorie des fonctions surharmoniques et du potentiel

TL;DR: In this article, the conditions générales d'utilisation (http://www.numdam.org/legal.php) are defined, i.e., the copie ou impression de ce fichier doit contenir la présente mention de copyright.
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Positive harmonic functions on Lipschitz domains

TL;DR: In this article, a study of certain kernel functions associated with Lipschitz domains D was conducted, and the results of the study were based on a uniform estimate for various approximations to kernel functions and another is the uniqueness of kernel functions.
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