A Riemann mapping theorem for $C(X)$
HTML articles powered by AMS MathViewer
- by Hugh E. Warren PDF
- Proc. Amer. Math. Soc. 28 (1971), 147-154 Request permission
Abstract:
Given a strong definition of âconformal map,â there is a class of domains in $C(X)$ conformally equivalent to the open unit ball which are in a specific way âinteriorsâ of curves.References
-
R. Courant, Ueber einige Eigenschaften der Abbildungsfunktionen bei konformer Abbildung, Gött. Nachr., 1914, 101-109.
B. W. Glickfeld, Contributions to the theory of holomorphic functions in commutative Banach algebras with identity, Dissertation, Columbia University, New York, 1964.
- Barnett W. Glickfeld, On the inverse function theorem in commutative Banach algebras, Illinois J. Math. 15 (1971), 212â221. MR 273408
- Einar Hille, Analytic function theory. Vol. II, Introductions to Higher Mathematics, Ginn and Company, Boston, Mass.-New York-Toronto, Ont., 1962. MR 0201608
- Edgar R. Lorch, The theory of analytic functions in normed Abelian vector rings, Trans. Amer. Math. Soc. 54 (1943), 414â425. MR 9090, DOI 10.1090/S0002-9947-1943-0009090-0
Additional Information
- © Copyright 1971 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 28 (1971), 147-154
- MSC: Primary 46.30; Secondary 30.00
- DOI: https://doi.org/10.1090/S0002-9939-1971-0279578-9
- MathSciNet review: 0279578