On the existence of holomorphic functions having prescribed asymptotic expansions

DOI10.4171/ZAA/511zbMath0816.46019MaRDI QIDQ1329650

Jean Schmets, Manuel Valdivia

Publication date: 13 July 1995

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

zbMATH Keywords

interpolationasymptotic expansionFréchet spacesspace of all holomorphic functionsquasi-connectedquasi-LB representationsregularly asymptotic

Mathematics Subject Classification ID

Topological linear spaces of continuous, differentiable or analytic functions (46E10) Spaces defined by inductive or projective limits (LB, LF, etc.) (46A13) Locally convex Fréchet spaces and (DF)-spaces (46A04) Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.) (46A11) Asymptotic representations in the complex plane (30E15) Series expansions of functions of one complex variable (30B99)

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