Some classical theorems on open Riemann surfaces
HTML articles powered by AMS MathViewer
- by Robert D. M. Accola PDF
- Bull. Amer. Math. Soc. 73 (1967), 13-26
References
- Lars V. Ahlfors, Normalintegrale auf offenen Riemannschen Flächen, Ann. Acad. Sci. Fennicae Ser. A. I. Math.-Phys. 1947 (1947), no. 35, 24 (German). MR 25577
- Lars V. Ahlfors and Leo Sario, Riemann surfaces, Princeton Mathematical Series, No. 26, Princeton University Press, Princeton, N.J., 1960. MR 0114911, DOI 10.1515/9781400874538
- Heinrich Behnke and Karl Stein, Entwicklung analytischer Funktionen auf Riemannschen Flächen, Math. Ann. 120 (1949), 430–461 (German). MR 29997, DOI 10.1007/BF01447838
- 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, DOI 10.1007/978-3-642-87031-6
- Murray Gerstenhaber, On a theorem of Haupt and Wirtinger concerning the periods of a differential of the first kind, and a related topological theorem, Proc. Amer. Math. Soc. 4 (1953), 476–481. MR 54730, DOI 10.1090/S0002-9939-1953-0054730-5
- Maurice Heins, Riemann surfaces of infinite genus, Ann. of Math. (2) 55 (1952), 296–317. MR 45834, DOI 10.2307/1969780
- Maurice Heins, On certain meromorphic functions of bounded valence, Rev. Math. Pures Appl. 2 (1957), 263–267. MR 95265
- Zenjiro Kuramochi, On the ideal boundaries of abstract Riemann surfaces, Osaka Math. J. 10 (1958), 83–102. MR 96790
- Yukio Kusunoki, Theory of Abelian integrals and its applications to conformal mappings, Mem. Coll. Sci. Univ. Kyoto Ser. A. Math. 32 (1959), 235–258. MR 110793, DOI 10.1215/kjm/1250776576
- Henrik H. Martens, A new proof of Torelli’s theorem, Ann. of Math. (2) 78 (1963), 107–111. MR 152528, DOI 10.2307/1970505
- Hisao Mizumoto, A note on an abelian covering surface. I, K\B{o}dai Math. Sem. Rep. 15 (1963), 29–51. MR 150288
- Hisao Mizumoto, A note on an abelian covering surface. II, K\B{o}dai Math. Sem. Rep. 16 (1964), 129–168. MR 222284
- P. J. Myrberg, Über die analytische Fortsetzung von beschränkten Funktionen, Ann. Acad. Sci. Fennicae Ser. A. I. Math.-Phys. 1949 (1949), no. 58, 7 (German). MR 28400
- Mitsuru Ozawa, On Riemann surfaces admitting an infinite cyclic conformal transformation group, K\B{o}dai Math. Sem. Rep. 8 (1956), 152–157. MR 86874
- Burton Rodin, Reproducing kernels and principal functions, Proc. Amer. Math. Soc. 13 (1962), 982–992. MR 150293, DOI 10.1090/S0002-9939-1962-0150293-X
- H. L. Royden, The Riemann-Roch theorem, Comment. Math. Helv. 34 (1960), 37–51. MR 110794, DOI 10.1007/BF02565925
- H. L. Royden, Algebras of bounded analytic functions on Riemann surfaces, Acta Math. 114 (1965), 113–142. MR 173763, DOI 10.1007/BF02391819
Additional Information
- Journal: Bull. Amer. Math. Soc. 73 (1967), 13-26
- DOI: https://doi.org/10.1090/S0002-9904-1967-11619-7
- MathSciNet review: 0207976