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Some subring properties of the ring of holomorphic functions on a non - empty subset of an open Riemann surface

Year 1990, Volume: 39 , - , 01.01.1990
https://doi.org/10.1501/Commua1_0000000528

Abstract

Throughout this paper R and S will denote öpen Riemann surfa- ces and X, Y will be non-empty subsets of R and S, respectively. A func- tion 0 : X -> S is said to be analytic if for each point p e X there is an öpen neighborhood Up of p and an analytic function ıpp : Up S such that 4>p and 0 coincide on Up p X. This is eguivalent to assuming that there is a single öpen set Ü a X and an analytic function 0 : U —> S such th at ıp | X = 0.L et A(X,Y) denote the set of ali analytic functions 0 : X S with 0(X ) c Y. For Y = S = C , a functionin A(X, C) is called holomorphic and we write H(X) = A(X,C).

References

  • Communications, Series A1:Mathematics and Statistics
Year 1990, Volume: 39 , - , 01.01.1990
https://doi.org/10.1501/Commua1_0000000528

Abstract

References

  • Communications, Series A1:Mathematics and Statistics
There are 1 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Research Articles
Authors

N İspir This is me

Publication Date January 1, 1990
Submission Date January 1, 1990
Published in Issue Year 1990 Volume: 39

Cite

APA İspir, N. (1990). Some subring properties of the ring of holomorphic functions on a non - empty subset of an open Riemann surface. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 39. https://doi.org/10.1501/Commua1_0000000528
AMA İspir N. Some subring properties of the ring of holomorphic functions on a non - empty subset of an open Riemann surface. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. January 1990;39. doi:10.1501/Commua1_0000000528
Chicago İspir, N. “Some Subring Properties of the Ring of Holomorphic Functions on a Non - Empty Subset of an Open Riemann Surface”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 39, January (January 1990). https://doi.org/10.1501/Commua1_0000000528.
EndNote İspir N (January 1, 1990) Some subring properties of the ring of holomorphic functions on a non - empty subset of an open Riemann surface. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 39
IEEE N. İspir, “Some subring properties of the ring of holomorphic functions on a non - empty subset of an open Riemann surface”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 39, 1990, doi: 10.1501/Commua1_0000000528.
ISNAD İspir, N. “Some Subring Properties of the Ring of Holomorphic Functions on a Non - Empty Subset of an Open Riemann Surface”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 39 (January 1990). https://doi.org/10.1501/Commua1_0000000528.
JAMA İspir N. Some subring properties of the ring of holomorphic functions on a non - empty subset of an open Riemann surface. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 1990;39. doi:10.1501/Commua1_0000000528.
MLA İspir, N. “Some Subring Properties of the Ring of Holomorphic Functions on a Non - Empty Subset of an Open Riemann Surface”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 39, 1990, doi:10.1501/Commua1_0000000528.
Vancouver İspir N. Some subring properties of the ring of holomorphic functions on a non - empty subset of an open Riemann surface. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 1990;39.

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics.

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