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A characterization of the algebra of holomorphic functions on simply connected domain

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Publication:1822729
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DOI10.1155/S0161171289000086zbMath0679.46039MaRDI QIDQ1822729

Saleem Watson, Derming Wang

Publication date: 1989

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/46400

zbMATH Keywords

simply connected domainalgebra of holomorphic functionstopological divisors of zeroF-algebracharacterization of the algebra of entire functions as a singly-generated Liouville algebra without topological divisors of zero


Mathematics Subject Classification ID

Spaces of bounded analytic functions of one complex variable (30H05) Locally convex Fréchet spaces and (DF)-spaces (46A04) Structure and classification of commutative topological algebras (46J40)


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A function algebraic characterization of Riemann domains, Fréchet algebras with a Laurent series generator and the annulus algebras



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