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