Representable functions on the unit ball of a Banach space

DOI10.1007/s00009-010-0093-5zbMath1232.46042OpenAlexW2063703267MaRDI QIDQ644595

Damián Pinasco

Publication date: 4 November 2011

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-010-0093-5

zbMATH Keywords

integral representationholomorphic functionsCauchy integral formulaWiener measures

Mathematics Subject Classification ID

Infinite-dimensional holomorphy (46G20) Measures and integration on abstract linear spaces (46G12) Kernel operators (47B34)

Related Items

On the convergence of random polynomials and multilinear forms

Cites Work

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• Integral representation of holomorphic functions on Banach spaces
• Gaussian measures in Banach spaces
• \(L^{p}\)-representable functions on 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
• Integral holomorphic functions
• Holomorphy types on a Banach spaces