Approximation of holomorphic functions of infinitely many variables. II.

DOI10.5802/aif.1760zbMath0969.46032OpenAlexW2328752056MaRDI QIDQ1977474

László Lempert

Publication date: 17 May 2000

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_2000__50_2_423_0

zbMATH Keywords

Banach spaceunconditional basisFréchet spaceholomorphic functionspseudoconvex domainapproximation problemsheaf of germs

Mathematics Subject Classification ID

Infinite-dimensional holomorphy (46G20) Power series, series of functions of several complex variables (32A05) Spaces of differentiable or holomorphic functions on infinite-dimensional spaces (46E50)

Related Items (17)

Holomorphic Approximation in Banach Spaces: A Survey ⋮ Analytic cohomology of complete intersections in a Banach space. ⋮ A note on holomorphic approximation in Banach spaces ⋮ APPROXIMATIONS OF HOLOMORPHIC FUNCTIONS IN CERTAIN BANACH SPACES ⋮ Unnamed Item ⋮ The approximation property for spaces of holomorphic functions on infinite dimensional spaces. III ⋮ Open sets with the Runge property in Banach spaces ⋮ Normal families of holomorphic functions and mappings on a Banach space ⋮ Plurisubharmonic domination in Banach spaces ⋮ On holomorphic domination. I ⋮ Analytic sheaves in Banach spaces☆ ⋮ On Runge approximation in a Banach space ⋮ A Dolbeault isomorphism theorem in infinite dimensions ⋮ An embedding theorem for pseudoconvex domains in Banach spaces ⋮ Plurisubharmonic domination ⋮ On the $\overline\partial$-equation in a Banach space ⋮ On holomorphic domination. II.

Cites Work

• Approximation de fonctions holomorphes d'un nombre infini de variables. (Approximation of holomorphic functions of infinitely many variables.)
• Counterexamples in holomorphic functions on nuclear Fréchet spaces
• Holomorphic Mappings on l 1
• The Dolbeault complex in infinite dimensions II
• On the $\overline\partial$-equation in a Banach space
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