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from compact subsets of an open subset of the complex plane to relatively closed subsets of an open subset.
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Rosay, Jean-Pierre; Rudin, Walter (May 1989). "Arakelian's
Approximation Theorem".
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174:(1968). "Uniform and tangential approximations by analytic functions".
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a relatively closed subset of Ω. By Ω is denoted the
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147:. Cambridge: Cambridge University Press. p.
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65:Arakelyan's theorem states that for every
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176:Izv. Akad. Nauk Armjan. SSR Ser. Mat
105:is connected and locally connected.
73:and holomorphic in the interior of
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198:The American Mathematical Monthly
240:Theorems in approximation theory
191:. Vol. 2. pp. 595–600.
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139:Gardiner, Stephen J. (1995).
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101:if and only if Ω \
235:Theorems in complex analysis
85:holomorphic in Ω such that |
60:Alexandroff compactification
47:{\displaystyle \mathbb {C} }
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189:Actes, Congrès intern. Math
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32:Let Ω be an open subset of
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187:Arakeljan, N. U (1970).
20:is a generalization of
143:Harmonic approximation
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81:> 0 there exists
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120:Mergelyan's theorem
22:Mergelyan's theorem
18:Arakelyan's theorem
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229:Categories
204:(5): 432.
182:: 273–286.
126:References
109:See also
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62:of Ω.
214:JSTOR
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103:E
99:E
95:ε
91:f
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83:g
79:ε
75:E
71:E
67:f
56:E
41:C
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