Entire functions on nuclear sequence spaces.

DOI10.1515/crll.1981.322.196zbMath0441.46006OpenAlexW4245704694MaRDI QIDQ3882961

Manfred Börgens, Reinhold Meise, Dietmar Vogt

Publication date: 1981

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://www.digizeitschriften.de/dms/resolveppn/?PPN=GDZPPN002198223

zbMATH Keywords

entire functionscompact-open topologyasymptotic estimatesgrowth propertiescombinatorial argumentsnuclear sequence spacesspace of rapidly decreasing sequencesnuclear power series space of infinite typeTaylor expansion for holomorphic functions on dual-nuclear sequence spaces

Mathematics Subject Classification ID

Sequence spaces (including Köthe sequence spaces) (46A45) Infinite-dimensional holomorphy (46G20) Elementary theory of partitions (11P81) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Spaces defined by inductive or projective limits (LB, LF, etc.) (46A13) Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.) (46A11) Power series, series of functions of several complex variables (32A05)

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