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Potentials and positively infinite singularities of harmonic functions

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Literatur

  1. For the place of this problem in the general theory, see G. Bouligand, Fonctions harmoniques, Mémorial des Sciences Math., fasc. XI (1926) p. 17.

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  2. F. Riesz, Sur les fonctions subharmoniques et leur rapport a la théorie du potentiel, Part II, Acta Mathematica, vol.54 (1930), pp. 321–360.

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  3. De la Vallée Poussin, Extension de la méthode du balayage de Poincaré, et problème de Dirichlet, Annales de l'Institut H. Poincaré, vol. 2 (1932), pp. 169–232.

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  4. Pólya and Szegö, Transfiniter Durchmesser ebener und räumlicher Punktmengen, Journal für die reine und angewandte Mathematik, vol. 165 (1931), pp. 4–49. The numberv is not quite the number 1/R n, since in the determination ofR n, Pólya and Szegö do not restrictP 1, ...,P n tos.

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  5. loc. cit., pp. 11–17.

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  1. Berkeley, Cal., U. S. A.

    Griffith C. Evans

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  1. Griffith C. Evans
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Evans, G.C. Potentials and positively infinite singularities of harmonic functions. Monatsh. f. Mathematik und Physik 43, 419–424 (1936). https://doi.org/10.1007/BF01707623

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