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Iterated fine limits and iterated non-tangential limits. (English) Zbl 0226.31013


MSC:

31D05 Axiomatic potential theory
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[1] M. Brelot, Lectures on potential theory, Notes by K. N. Gowrisankaran and M. K. Venkatesha Murthy. Lectures on Mathematics, vol. 19, Tata Institute of Fundamental Research, Bombay, 1960. · Zbl 0098.06903
[2] -, Séminaire de théorie du potentiel. II, Institut Henri Poincaré, Paris, 1958.
[3] M. Brelot and J. L. Doob, Limites angulaires et limites fines, Ann. Inst. Fourier (Grenoble) 13 (1963), no. fasc. 2, 395 – 415 (French). · Zbl 0132.33902
[4] A. P. Caledrón and A. Zygmund, Contributions to Fourier analysis, Ann. of Math. Studies, no. 25, Princeton Univ. Press, Princeton, N. J., 1950, pp. 145-165. MR 12, 255.
[5] C. Constantinescu and A. Cornea, Über das Verhalten der analytischen Abbildungen Riemannscher Flachen auf dem idealen Rand von Martin, Nagoya Math. J. 17 (1960), 1 – 87 (German). · Zbl 0104.29901
[6] Kohur Gowrisankaran, Extreme harmonic functions and boundary value problems, Ann. Inst. Fourier (Grenoble) 13 (1963), no. fasc. 2, 307 – 356. · Zbl 0134.09503
[7] Kohur Gowrisankaran, Fatou-Naïm-Doob limit theorems in the axiomatic system of Brelot, Ann. Inst. Fourier (Grenoble) 16 (1966), no. fasc. 2, 455 – 467 (English, with French summary). · Zbl 0145.15103
[8] Kohur Gowrisankaran, Multiply harmonic functions, Nagoya Math. J. 28 (1966), 27 – 48.
[9] R.-M. Hervé, Recherches axiomatiques sur la théorie des fonctions surharmoniques et du potentiel, Ann. Inst. Fourier (Grenoble) 12 (1962), 415 – 571 (French). · Zbl 0101.08103
[10] Walter Rudin, Function theory in polydiscs, W. A. Benjamin, Inc., New York-Amsterdam, 1969. · Zbl 0177.34101
[11] Laurent Schwartz, Radon measures on arbitrary topological spaces and cylindrical measures, Published for the Tata Institute of Fundamental Research, Bombay by Oxford University Press, London, 1973. Tata Institute of Fundamental Research Studies in Mathematics, No. 6. · Zbl 0298.28001
[12] A. Zygmund, Trigonometric series. 2nd ed. Vols. I, II, Cambridge University Press, New York, 1959. · Zbl 0085.05601
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