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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)



Integral representation of continuous functions

Author: Walter Rudin
Journal: Trans. Amer. Math. Soc. 68 (1950), 278-286
MSC: Primary 31.0X
MathSciNet review: 0034916
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    M. Brelot, Sur la structure des ensembles de capacité nulle, C. R. Acad. Sci. Paris vol. 192 (1931) pp. 206-208. ---, Étude des fonctions sousharmoniques au voisinage d’un point, Paris, 1934. T. Radó, Subharmonic functions, Ergebnisse der Mathematik, vol. 5, no. 1, Berlin, 1937.
  • Frédéric Riesz, Sur les Fonctions Subharmoniques et Leur Rapport à la Théorie du Potentiel, Acta Math. 48 (1926), no. 3-4, 329–343 (French). MR 1555229, DOI
  • Frédéric Riesz, Sur les fonctions subharmoniques et leur rapport à la théorie du potentiel, Acta Math. 54 (1930), no. 1, 321–360 (French). MR 1555311, DOI
  • S. Saks, Theory of the integral, 2d. ed., Warsaw, 1937.
  • S. Saks, On the operators of Blaschke and Privaloff for subharmonic functions, Rec. Math. [Mat. Sbornik] N.S. 9 (51) (1941), 451–456 (English, with Russian summary). MR 0004363
  • N. Wiener, Certain notions in potential theory, Journal of Mathematics and Physics vol. 3 (1924) pp. 24-51. A. Zygmund, Trigonometrical series, Warsaw, 1935.

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Article copyright: © Copyright 1950 American Mathematical Society