|
On the uniqueness of the prolongation of an open Riemann surface of finite genus
Author:
Kôtaro Oikawa
Journal:
Proc. Amer. Math. Soc. 11 (1960), 785-787
MSC:
Primary 30.45
MathSciNet review:
0122982
Full-text PDF Free Access
References |
Similar Articles |
Additional Information
- [1]
Lars
V. Ahlfors, On quasiconformal mappings, J. Analyse Math.
3 (1954), 1–58; correction, 207–208. MR 0064875
(16,348d)
- [2]
Lars
Ahlfors and Arne
Beurling, Conformal invariants and function-theoretic
null-sets, Acta Math. 83 (1950), 101–129. MR 0036841
(12,171c)
- [3]
Lipman
Bers, Spaces of Riemann surfaces, Proc. Internat. Congress
Math. 1958, Cambridge Univ. Press, New York, 1960, pp. 349–361.
MR
0124484 (23 #A1796)
- [4]
S.
Bochner, Fortsetzung Riemannscher Flächen, Math. Ann.
98 (1928), no. 1, 406–421 (German). MR
1512413, http://dx.doi.org/10.1007/BF01451602
- [5]
Akira
Mori, A remark on the prolongation of Riemann surfaces of finite
genus, J. Math. Soc. Japan 4 (1952), 27–30. MR 0050024
(14,263d)
- [6]
Rolf
Nevanlinna, Eindeutigkeitsfragen in der Theorie der konformen
Abbildung, C. R. Dixième Congrès Math. Scandinaves 1946,
Jul. Gjellerups Forlag, Copenhagen, 1947, pp. 225–240 (German).
MR
0020145 (8,509a)
- [7]
Kôtaro
Oikawa, On the prolongation of an open Riemann surface of finite
genus, Kōdai Math. Sem. Rep. 9 (1957),
34–41. MR
0086872 (19,258f)
- [8]
Oswald
Teichmüller, Extremale quasikonforme Abbildungen und
quadratische Differentiale, Abh. Preuss. Akad. Wiss. Math.-Nat. Kl.
1939 (1940), no. 22, 197 (German). MR 0003242
(2,187a)
- [1]
- L. V. Ahlfors, On quasiconformal mappings, J. Analyse Math. vol. 3 (1953-1954) pp. 1-58, 207-208. MR 0064875 (16:348d)
- [2]
- L. V. Ahlfors and A. Beurling, Conformal invariants and function-theoretic null-sets, Acta Math. vol. 83 (1950) pp. 101-129. MR 0036841 (12:171c)
- [3]
- L. Bers, Spaces of Riemann surfaces, Proceedings of the Mathematical Congress, Edinburgh, 1958, pp. 349-369. MR 0124484 (23:A1796)
- [4]
- S. Bochner, Fortsetzung Riemannscher Flächen, Math. Ann. vol. 98 (1928) pp. 406-421. MR 1512413
- [5]
- A. Mori, A remark on the prolongation of Riemann surfaces of finite genus, J. Math. Soc. Japan vol. 4 (1952) pp. 198-209. MR 0050024 (14:263d)
- [6]
- R. Nevanlinna, Eindeutigkeitsfragen in der Theorie der konformen Abbildung, Comptes Rendus 10, Congr. Scand., 1946. MR 0020145 (8:509a)
- [7]
- K. Oikawa, On the prolongation of an open Riemann surface of finite genus, Kōdai Math. Sem. Rep. vol. 9 (1957) pp. 34-41. MR 0086872 (19:258f)
- [8]
- O. Teichmüller, Extremale quasikonforme Abbildungen und quadratische Differentiale, Abh. Preuss. Akad. Math.-Naturw. Kl. vol. 22 (1940) pp. 1-197. MR 0003242 (2:187a)
Similar Articles
Retrieve articles in Proceedings of the American Mathematical Society
with MSC:
30.45
Retrieve articles in all journals
with MSC:
30.45
Additional Information
DOI:
http://dx.doi.org/10.1090/S0002-9939-1960-0122982-2
PII:
S 0002-9939(1960)0122982-2
Article copyright:
© Copyright 1960 American Mathematical Society
|