• 제목/요약/키워드: Oka-Weil domains

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APPROXIMATION BY HOLOMORPHIC FUNCTIONS ON PSEUDOCONVEX COMPLEX MANIFOLDS

  • Lee, Jinkee;Cho, Hong-Rae
    • 대한수학회보
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    • 제32권2호
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    • pp.259-263
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    • 1995
  • The following classical Oka-Weil approximation theorem on pseudoconvex domains in $C^n$ is well-known. Suppose that $M \subseteq C^n$ is pseudoconvex and that K is a compact subset of M with K = K, where K is the usual holomorphic hull of K in M. Then any function holomorphic in a neighborhood of K can be approximated uniformly on K by functions holomorphic on M (see [5], [6]).

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