Integral representation of holomorphic functions on Banach spaces

DOI10.1016/j.jmaa.2004.11.031zbMath1086.46033OpenAlexW2057651019MaRDI QIDQ557863

Damián Pinasco, Ignacio Zalduendo

Publication date: 30 June 2005

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.11.031

zbMATH Keywords

Wiener measureCauchy integral formula, \(A\)-exponential typeintegral representation of holomorphic functions

Mathematics Subject Classification ID

Infinite-dimensional holomorphy (46G20) (Spaces of) multilinear mappings, polynomials (46G25) Measures and integration on abstract linear spaces (46G12)

Related Items

Representing measures and infinite-dimensional holomorphy, Radial boundary values of Poisson integrals on infinite-dimensional balls, \(L^{p}\)-representable functions on Banach spaces, Representable functions on the unit ball of a Banach space, Integral representation of holomorphic mappings on fully nuclear spaces, The Hilbert-Schmidt analyticity associated with infinite-dimensional unitary groups, Paley-Wiener isomorphism over infinite-dimensional unitary groups, On the convergence of random polynomials and multilinear forms, Lower bounds for norms of products of polynomials via Bombieri inequality, Lagrange approximation in Banach spaces

Cites Work

• Gaussian measures in Banach spaces
• A Canonical Extension for Analytic Functions on Banach Spaces
• A Hahn-Banach extension theorem for analytic mappings
• Hilbert spaces of analytic functions of infinitely many variables
• A Theorem on Polynomial-Star Approximation
• Integral holomorphic functions
• Holomorphy types on a Banach spaces
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