Counterexamples in holomorphic functions on nuclear Fréchet spaces

DOI10.1007/BF01175619zbMath0509.46041WikidataQ124828705 ScholiaQ124828705MaRDI QIDQ1838136

Dietmar Vogt, Reinhold Meise

Publication date: 1983

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173271

zbMATH Keywords

entire functionnuclear Frechet spaced-bar-equationclassical extension results for holomorphic functions on subvarieties do not holdclosed and exact forms

Mathematics Subject Classification ID

Infinite-dimensional holomorphy (46G20) Continuation of analytic objects in several complex variables (32D15) 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)

Related Items

Hankel operators with antiholomorphic symbols on the Fock space ⋮ Local factorization of differential forms on Fréchet-Schwartz spaces ⋮ The \(\bar\partial\)-problem for a (0,2)-form in a D.F.N. space ⋮ Approximation of holomorphic functions of infinitely many variables. II. ⋮ The canonical solution operator to $\overline {\partial }$ restricted to Bergman spaces ⋮ The Dolbeault complex in infinite dimensions I ⋮ Some characterizations of the properties \(\widetilde {LB}^\infty\) and \(LB_\infty\) ⋮ On the Dependence of Analytic Solutions of Partial Differential Equations on the Right-Hand Side ⋮ Extension of Entire Functions on Nuclear Locally Convex Spaces ⋮ Holomorphic mappings with prescribed Taylor expansions ⋮ A Hahn-Banach theorem for holomorphic mappings on localy convex spaces ⋮ On the $\overline\partial$-equation in a Banach space

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