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Converse of the Maximum Modulus Theorem and Rings of Continuous Complex Functions

Year 1975, Volume: 24 , - , 01.01.1975

C. Uluçay

https://doi.org/10.1501/Commua1_0000000260

Abstract

It is shown among others that if D is a region (öpen connected set) in the complex plane and C(D) the algehra of continuous complex functions on Dwith the property that for every m em ber/c C (D) and every closed disc M7 in D, ||/||^ r = ||/ ||g ^ then any two such regions are conformally equivalent. Moreover ev ery /is analytic.

Keywords

Theorem Continuous Functions

References

  • Communications, Series A1:Mathematics and Statistics

Year 1975, Volume: 24 , - , 01.01.1975

C. Uluçay

https://doi.org/10.1501/Commua1_0000000260

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

C. Uluçay This is me

Publication Date January 1, 1975
Submission Date January 1, 1975
Published in Issue Year 1975 Volume: 24

Cite

APA Uluçay, C. (1975). Converse of the Maximum Modulus Theorem and Rings of Continuous Complex Functions. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 24. https://doi.org/10.1501/Commua1_0000000260
AMA Uluçay C. Converse of the Maximum Modulus Theorem and Rings of Continuous Complex Functions. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. January 1975;24. doi:10.1501/Commua1_0000000260
Chicago Uluçay, C. “Converse of the Maximum Modulus Theorem and Rings of Continuous Complex Functions”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 24, January (January 1975). https://doi.org/10.1501/Commua1_0000000260.
EndNote Uluçay C (January 1, 1975) Converse of the Maximum Modulus Theorem and Rings of Continuous Complex Functions. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 24
IEEE C. Uluçay, “Converse of the Maximum Modulus Theorem and Rings of Continuous Complex Functions”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 24, 1975, doi: 10.1501/Commua1_0000000260.
ISNAD Uluçay, C. “Converse of the Maximum Modulus Theorem and Rings of Continuous Complex Functions”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 24 (January 1975). https://doi.org/10.1501/Commua1_0000000260.
JAMA Uluçay C. Converse of the Maximum Modulus Theorem and Rings of Continuous Complex Functions. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 1975;24. doi:10.1501/Commua1_0000000260.
MLA Uluçay, C. “Converse of the Maximum Modulus Theorem and Rings of Continuous Complex Functions”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 24, 1975, doi:10.1501/Commua1_0000000260.
Vancouver Uluçay C. Converse of the Maximum Modulus Theorem and Rings of Continuous Complex Functions. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 1975;24.

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

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