Document Zbl 0216.10301

Weiterführung einer axiomatischen Potentialtheorie ohne Kern (Existenz von Potentialen). (German) Zbl 0216.10301

Z. Wahrscheinlichkeitstheor. Verw. Geb. 1, 197-229 (1963).

Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0216.10301

MSC:

31-02	Research exposition (monographs, survey articles) pertaining to potential theory
31B05	Harmonic, subharmonic, superharmonic functions in higher dimensions
31D05	Axiomatic potential theory

Cite Review PDF

Full Text: DOI

References:

[1]	Bauer, H., Axiomatische Behandlung des Dirichletschen Problems für elliptische und parabolische Differentialgleichungen, Math. Ann., 146, 1-59 (1962) · Zbl 0107.08003
[2]	Bauer, H., Minimalstellen von Funktionen und Extremalpunkte, II, Arch. der Math., 11, 200-205 (1960) · Zbl 0098.08003
[3]	Brelot, M., Lectures on potential theory (1960), Bombay: Tata Inst. of Fund. Research, Bombay · Zbl 0098.06903
[4]	Brelot, M., Minorantes sousharmoniques, extrémales et capacités, J. Math. pur. appl. IX. Ser., 24, 1-32 (1945) · Zbl 0061.22802
[5]	Doob, J. L.: Probability methods applied to the first boundary value problem. Proc. 3^rd Berkeley Symp. on Math. Stat. and Prob. 1954-1955, 49-80 (1956). · Zbl 0074.09101
[6]	Doob, J. L., A probability approach to the heat equation, Trans. Amer. math. Soc., 80, 216-280 (1955) · Zbl 0068.32705
[7]	Hervé, M., Sur les représentation intégrales à l’aide des points extrémaux dans un ensemble compact convexe métrisable, C. r. Acad. Sci., Paris, 253, 366-368 (1961) · Zbl 0104.08403
[8]	Hervé, R. M., Recherches axiomatiques sur la théorie des fonctions surharmoniques et du potentiel, Ann. Inst. Fourier, 12, 415-571 (1962) · Zbl 0101.08103
[9]	Nöbeling, G.; Bauer, H., Allgemeine Approximationskriterien mit Anwendungen, J.-Ber. Deutsch. Math.-Verein., 58, 54-72 (1955) · Zbl 0066.31005

This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.