Subharmonic functions of order $r$
HTML articles powered by AMS MathViewer
- by Victor L. Shapiro
- Proc. Amer. Math. Soc. 5 (1954), 539-546
- DOI: https://doi.org/10.1090/S0002-9939-1954-0064923-X
- PDF | Request permission
References
- 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.
- Min-Teh Cheng, On a theorem of Nicolesco and generalized Laplace operators, Proc. Amer. Math. Soc. 2 (1951), 77–86. MR 41292, DOI 10.1090/S0002-9939-1951-0041292-X
- Min-Teh Cheng, Uniqueness of multiple trigonometric series, Ann. of Math. (2) 52 (1950), 403–416. MR 36859, DOI 10.2307/1969476 R. Courant and D. Hilbert, Methoden der mathematischen Physik, vol. 2, Berlin, 1937. N. M. Gunther, La théorie du potentiel et ses applications aux problèmes fondamentaux de la physique mathématique, Paris, 1934. O. D. Kellogg, Foundation of potential theory, Berlin, 1929. T. Radó, Subharmonic functions, Ergebnisse der Mathematik, vol. 5, no. 1, Berlin, 1937.
- Victor L. Shapiro, Generalized Laplacians of the second kind and double trigonometric series, Duke Math. J. 21 (1954), 173–178. MR 61689
- Victor L. Shapiro, An extension of results in the uniqueness theory of double trigonometric series, Duke Math. J. 20 (1953), 359–365. MR 58005
Bibliographic Information
- © Copyright 1954 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 5 (1954), 539-546
- MSC: Primary 31.0X
- DOI: https://doi.org/10.1090/S0002-9939-1954-0064923-X
- MathSciNet review: 0064923