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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

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
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  • [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-Göttingen-Heidelberg, 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-Toronto, Ont.-London, 1967. MR 0220922 (36 #3974)
  • [5] 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
  • [6] 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)

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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