Approximation de fonctions holomorphes d'un nombre infini de variables. (Approximation of holomorphic functions of infinitely many variables.)

DOI10.5802/aif.1718zbMath0944.46046OpenAlexW2324369474MaRDI QIDQ1294743

László Lempert

Publication date: 10 August 1999

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

Full work available at URL: http://www.numdam.org/item?id=AIF_1999__49_4_1293_0

zbMATH Keywords

Banach spacesholomorphic functionsapproximation theoremholomorphically convex compact setStein variety

Mathematics Subject Classification ID

Infinite-dimensional holomorphy (46G20) (overlinepartial) and (overlinepartial)-Neumann operators (32W05) Power series, series of functions of several complex variables (32A05)

Related Items (11)

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 ⋮ On the cohomology groups of holomorphic Banach bundles ⋮ Unnamed Item ⋮ Normal families of holomorphic functions and mappings on a Banach space ⋮ Approximation of holomorphic functions of infinitely many variables. II. ⋮ Analytic sheaves in Banach spaces☆ ⋮ Positive polynomials on projective limits of real algebraic varieties ⋮ On the $\overline\partial$-equation in a Banach space

Cites Work

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• Holomorphic Mappings on l 1
• The Dolbeault complex in infinite dimensions II
• Holomorphic functions with values in locally convex spaces and applications to integral formulas

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