Rings of analytic and meromorphic functions
HTML articles powered by AMS MathViewer
- by H. L. Royden PDF
- Trans. Amer. Math. Soc. 83 (1956), 269-276 Request permission
References
- Lipman Bers, On rings of analytic functions, Bull. Amer. Math. Soc. 54 (1948), 311–315. MR 24970, DOI 10.1090/S0002-9904-1948-08992-3
- Claude Chevalley, Introduction to the Theory of Algebraic Functions of One Variable, Mathematical Surveys, No. VI, American Mathematical Society, New York, N. Y., 1951. MR 0042164
- Herta Florack, Reguläre und meromorphe Funktionen auf nicht geschlossenen Riemannschen Flächen, Schr. Math. Inst. Univ. Münster 1948 (1948), no. 1, 34 (German). MR 37362
- Shizuo Kakutani, Rings of analytic functions, Lectures on functions of a complex variable, University of Michigan Press, Ann Arbor, Mich., 1955, pp. 71–83. MR 0070060
- Maurice Heins, Riemann surfaces of infinite genus, Ann. of Math. (2) 55 (1952), 296–317. MR 45834, DOI 10.2307/1969780
- Olaf Helmer, Divisibility properties of integral functions, Duke Math. J. 6 (1940), 345–356. MR 1851
- Melvin Henriksen, On the ideal structure of the ring of entire functions, Pacific J. Math. 2 (1952), 179–184. MR 47928
- Walter Rudin, Some theorems on bounded analytic functions, Trans. Amer. Math. Soc. 78 (1955), 333–342. MR 67192, DOI 10.1090/S0002-9947-1955-0067192-5 —, An algebraic characterization of conformal equivalence, Bull. Amer. Math. Soc. vol. 61 (1955) p. 543.
- O. F. G. Schilling, Ideal theory on open Riemann surfaces, Bull. Amer. Math. Soc. 52 (1946), 945–963. MR 19733, DOI 10.1090/S0002-9904-1946-08669-3
- O. F. G. Schilling, The Theory of Valuations, Mathematical Surveys, No. 4, American Mathematical Society, New York, N. Y., 1950. MR 0043776
Additional Information
- © Copyright 1956 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 83 (1956), 269-276
- MSC: Primary 30.0X
- DOI: https://doi.org/10.1090/S0002-9947-1956-0089908-5
- MathSciNet review: 0089908