Existence of positive harmonic functions
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- by Mitsuru Nakai
- Proc. Amer. Math. Soc. 17 (1966), 365-367
- DOI: https://doi.org/10.1090/S0002-9939-1966-0197717-3
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References
- Roger Bader and Michel Parreau, Domaines non compacts et classification des surfaces de Riemann, C. R. Acad. Sci. Paris 232 (1951), 138–139 (French). MR 39815
- Corneliu Constantinescu and Aurel Cornea, Ideale Ränder Riemannscher Flächen, Ergebnisse der Mathematik und ihrer Grenzgebiete, (N.F.), Band 32, Springer-Verlag, Berlin-Göttingen-Heidelberg, 1963 (German). MR 0159935
- Robert S. Martin, Minimal positive harmonic functions, Trans. Amer. Math. Soc. 49 (1941), 137–172. MR 3919, DOI 10.1090/S0002-9947-1941-0003919-6
- Akira Mori, On the existence of harmonic functions on a Riemann surface, J. Fac. Sci. Univ. Tokyo Sect. I 6 (1951), 247–257. MR 46446
- M. Parreau, Sur les moyennes des fonctions harmoniques et analytiques et la classification des surfaces de Riemann, Ann. Inst. Fourier (Grenoble) 3 (1951), 103–197 (1952) (French). MR 50023
Bibliographic Information
- © Copyright 1966 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 17 (1966), 365-367
- MSC: Primary 30.45
- DOI: https://doi.org/10.1090/S0002-9939-1966-0197717-3
- MathSciNet review: 0197717