BOUNDED POLYNOMIALS AND HOLOMORPHIC MAPPINGS BETWEEN CONVEX SUBRINGS OF *

DOI10.1017/jsl.2017.24zbMath1401.30055OpenAlexW2790302056MaRDI QIDQ4638991

Adel Khalfallah, Siegmund Kosarew

Publication date: 2 May 2018

Published in: The Journal of Symbolic Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/jsl.2017.24

zbMATH Keywords

nonstandard analysisinternal polynomialsgeneralized holomorphicity

Mathematics Subject Classification ID

Nonstandard models in mathematics (03H05) Non-Archimedean function theory (30G06) Nonstandard analysis (26E35)

Related Items (4)

Hyper-power series and generalized real analytic functions ⋮ Examples of new nonstandard hulls of topological vector spaces ⋮ Linking complex analytic to nonstandard algebraic geometry ⋮ On the prime spectrum of the ring of bounded nonstandard complex numbers

Cites Work

• Zeros of generalized holomorphic functions
• An embedding of Schwartz distributions in the algebra of asymptotic functions
• Global representatives of Colombeau holomorphic generalized functions
• Complex spaces and nonstandard schemes
• Non-standard analysis
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