Holomorphic functions with distinguished properties on infinite dimensional spaces

DOI10.1093/QMATH/HAY065zbMath1462.32022OpenAlexW2908433014MaRDI QIDQ5147009

Thiago R. Alves, Geraldo Botelho

Publication date: 2 February 2021

Published in: The Quarterly Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/qmath/hay065

zbMATH Keywords

boundary valuesholomorphic functions on infinite-dimensional spaces

Mathematics Subject Classification ID

Infinite-dimensional holomorphy (46G20) Holomorphic maps with infinite-dimensional arguments or values (32K12)

Related Items (1)

Holomorphic functions with large cluster sets

Cites Work

• Infinite dimensional holomorphic non-extendability and algebraic genericity
• Cluster values of analytic functions on a Banach space
• Spaceability and algebrability in the theory of domains of existence in Banach spaces
• Behavior of entire functions on balls in a Banach space
• Lineability of the set of holomorphic mappings with dense range
• Vector spaces of entire functions of unbounded type
• On interpolation by analytic maps in infinite dimensions
• Boundaries for polydisc algebras in infinite dimensions
• Strong algebrability of sets of sequences and functions
• Boundaries for spaces of holomorphic functions on M-ideals in their biduals
• Lineability and algebrability of the set of holomorphic functions with a given domain of existence
• Unnamed Item

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