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Pairs of inner functions on finite Riemann surfaces
Author:
Walter Rudin
Journal:
Trans. Amer. Math. Soc. 140 (1969), 423-434
MSC:
Primary 30.45
MathSciNet review:
0241629
Full-text PDF Free Access
References |
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Additional Information
- [1]
Lars
V. Ahlfors, The complex analytic structure of the space of closed
Riemann surfaces., Analytic functions, Princeton Univ. Press,
Princton, N.J., 1960, pp. 45–66. MR 0124486
(23 #A1798)
- [2]
Heinrich
Behnke and Friedrich
Sommer, Theorie der analytischen Funktionen einer komplexen
Veränderlichen, Die Grundlehren der mathematischen Wissenschaften
in Einzeldarstellungen mit besonderer Berücksichtigung der
Anwendungsgebiete, Bd. LXXVII, Springer-Verlag, Berlin, 1955 (German). MR 0073682
(17,470c)
- [3]
Function algebras, Proceedings of an International Symposium on
Function Algebras held at Tulane University, vol. 1965, Scott,
Foresman and Co., Chicago, Ill., 1966. MR 0193471
(33 #1691)
- [4]
Harvey
Cohn, Conformal mapping on Riemann surfaces, McGraw-Hill Book
Co., New York, 1967. MR 0220922
(36 #3974)
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Heinz
Hopf, Über die Sehnen ebener Kontinuen und die Schleifen
geschlossener Wege, Comment. Math. Helv. 9 (1936),
no. 1, 303–319 (German). MR
1509561, http://dx.doi.org/10.1007/BF01258195
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P. Lévy, Sur une généralisation du théorème de Rolle, C. R. Acad. Sci. Paris 198 (1934), 424-425.
- [7]
George
Springer, Introduction to Riemann surfaces, Addison-Wesley
Publishing Company, Inc., Reading, Mass., 1957. MR 0092855
(19,1169g)
- [8]
E.
L. Stout, On some algebras of analytic functions on finite open
Riemann surfaces, Math. Z. 92 (1966), 366–379.
MR
0200465 (34 #358)
- [1]
- L. V. Ahlfors, Analytic functions, Princeton Univ. Press, Princeton, N. J., 1960. MR 0124486 (23:A1798)
- [2]
- H. Behnke and F. Sommer, Theorie der analytischen Funktionen einer komplexen Veränderlichen, 3rd ed., Springer-Verlag, New York, 1965. MR 0073682 (17:470c)
- [3]
- F. T. Birtel (Ed.), Function algebras, Scott, Foresman, Glenview, Ill., 1966. MR 0193471 (33:1691)
- [4]
- H. Cohn, Conformal mapping on Riemann surfaces, McGraw-Hill, New York, 1967. MR 0220922 (36:3974)
- [5]
- H. Hopf, Über die Sehnen ebener Kontinuen und die Schleifen geschlossener Wege, Comment. Math. Helv. 9 (1937), 303-319. MR 1509561
- [6]
- P. Lévy, Sur une généralisation du théorème de Rolle, C. R. Acad. Sci. Paris 198 (1934), 424-425.
- [7]
- G. Springer, Introduction to Riemann surfaces, Addison-Wesley, Reading, Mass., 1957. MR 0092855 (19:1169g)
- [8]
- E. L. Stout, On some algebras of functions on finite open Riemann surfaces, Math. Z. 92 (1966), 366-379. MR 0200465 (34:358)
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Additional Information
DOI:
http://dx.doi.org/10.1090/S0002-9947-1969-0241629-0
PII:
S 0002-9947(1969)0241629-0
Article copyright:
© Copyright 1969 American Mathematical Society
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