A Generalization of the Riesz-Herglotz Theorem on Representing Measures

DOI10.2307/2042218zbMath0384.31001OpenAlexW4250328736MaRDI QIDQ4163445

Peter A. Loeb

Publication date: 1978

Full work available at URL: https://doi.org/10.2307/2042218

Mathematics Subject Classification ID

Axiomatic potential theory (31D05) Integral representations, integral operators, integral equations methods in higher dimensions (31B10) Integral representations, integral operators, integral equations methods in two dimensions (31A10)

Related Items (3)

Weak Limits of Measures and the Standard Part Map ⋮ Representing measures in potential theory and an ideal boundary ⋮ A construction of representing measures for elliptic and parabolic differential equations

Cites Work

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• Applications of nonstandard analysis to ideal boundaries in potential theory
• The equivalence of Harnack's principle and Harnack's inequality in the axiomatic system of Brelot
• An axiomatic treatment of pairs of elliptic differential equations
• On topologies and boundaries in potential theory. Enlarged ed. of a course of lectures delivered in 1966
• Weak Limits of Measures and the Standard Part Map
• A Nonstandard Characterization of Weak Convergence
• Positive Harmonic Functions on Lipschitz Domains
• Minimal Positive Harmonic Functions

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