Journals / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 1997 / Volume: 46

Restrictive semigroups of holomorphic endomorphisms on Riemann surfaces

Ayhan Şerbetçi(Ankara Üniversitesi)
Pages
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Publication Date
1997-01-01
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Let R , R2 be Riemann surfaces which have bounded nonconstant holomorphic fiınctions and X, Y be any subsets of Rp R2> respectively.

📌 3 Key Takeaways

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Objective & Hypothesis:Let R be a Riemann surface and X be any nonempty subset of R.
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Key Findings & Data:E(R,X) denotes the semigroup, under composition, of ali holomorphic selfmaps of R which carry X into X and is referred to as a restrictive semigroup of holomorphic endomorphisms.
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Conclusion & Impact:Let R , R2 be Riemann surfaces which have bounded nonconstant holomorphic fiınctions and X, Y be any subsets of Rp R2> respectively.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Restrictive semigroups · Holomorphıc endomorphisms · Riemann surfaces

Abstract

Let R be a Riemann surface and X be any nonempty subset of R. E(R,X) denotes the semigroup, under composition, of ali holomorphic selfmaps of R which carry X into X and is referred to as a restrictive semigroup of holomorphic endomorphisms. Let R , R2 be Riemann surfaces which have bounded nonconstant holomorphic fiınctions and X, Y be any subsets of Rp R2> respectively. If

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Cite This Article

Şerbetçi, A. (1997). Restrictive semigroups of holomorphic endomorphisms on Riemann surfaces. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Volume: 46. https://doi.org/10.1501/Commua1_0000000426

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References (1)

  1. Ankara Üniversitesi Communications, Series A1:Mathematics and Statistics