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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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On a theorem of Nicolesco and generalized Laplace operators
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by Min-Teh Cheng PDF
Proc. Amer. Math. Soc. 2 (1951), 77-86 Request permission
References
    W. Blaschke, Ein Mittelwertsatz und eine kennzeichnende Eigenschaft des logarithmischen Potentials, Leipziger Berichte vol. 68 (1916) pp. 3-7. N. Cioranesco, Une propriété caractéristique des fonctions polyharmoniques, Bulletinul Facultăţii de Sţiinţe din Cernăuţi vol. 7 (1933) pp. 105-107. M. Nicolesco, Les fonctions polyharmoniques, Exposés sur la théorie des fonctions, vol. 4, 1936, Paris. —, Sur une propriété caractéristique des fonctions harmoniques d’ordre p et sur l’existence des laplaciens de divers ordres, Buletinul Facultăţii de Sţiinţe din Cernăuţi vol. 7 (1933) pp. 235-243. —, Sur les fonctions de n variables, harmoniques d’ordre p, Bull. Soc. Math. France vol. 50 (1932) pp. 129-151. —, Résolution effective directe qde uelques problèmes de frontière concernant les fonctions harmoniques et biharmoniques dans le cas des domaines hyperspheriques, Buletinul Facultăţii de Sţiinţe din Cernăuţi vol. 9 (1935) pp. 9-15. P. Pizzetti, Sulla media dei valori che una funzione dei punti dello spazio assume alla superficie di una sfera, Rendiconti dei Lincei (5) vol. 18 (1909) pp. 182-185. —, Sul significato geometrico del secando parametro differenziale di una funzione sopra una superficie qualunque, Rendiconti dei Lincei (5) vol. 18 (1909) pp. 309-316.
  • D. H. Potts, A note on the operators of Blaschke and Privaloff, Bull. Amer. Math. Soc. 54 (1948), 782–787. MR 25643, DOI 10.1090/S0002-9904-1948-09080-2
  • Stanislas Saks, Note on defining properties of harmonic functions, Bull. Amer. Math. Soc. 38 (1932), no. 6, 380–382. MR 1562401, DOI 10.1090/S0002-9904-1932-05394-0
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Additional Information
  • © Copyright 1951 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 2 (1951), 77-86
  • MSC: Primary 31.0X
  • DOI: https://doi.org/10.1090/S0002-9939-1951-0041292-X
  • MathSciNet review: 0041292