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Space of analytic functions with prescribed growth near the boundary

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Publication:1838676
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DOI10.1007/BF01137223zbMath0511.46020MaRDI QIDQ1838676

R. S. Yulmukhametov

Publication date: 1983

Published in: Mathematical Notes (Search for Journal in Brave)


zbMATH Keywords

bounded convex domainspace of analytic functionsprojective limit topologyinductive limit spaceprescribed growth near the boundary


Mathematics Subject Classification ID

Topological linear spaces of continuous, differentiable or analytic functions (46E10) Inductive and projective limits in functional analysis (46M40)


Related Items

(DFS)-spaces of holomorphic functions invariant under differentiation ⋮ The order of growth of an exponential series near the boundary of the convergence domain ⋮ Representing systems of exponentials in projective limits of weighted subspaces of $H(D)$



Cites Work

  • A seminorm topology for some (DF)-spaces of entire functions
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