Analytic continuations of log-exp-analytic germs

DOI10.1090/tran/7748zbMath1504.14100arXiv1708.04496OpenAlexW2962689699MaRDI QIDQ4633586

Patrick Speissegger, Tobias Kaiser

Publication date: 3 May 2019

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.04496

zbMATH Keywords

analytic continuation0-minimal structures\(\log\)-\(\exp\)-analytic germs

Mathematics Subject Classification ID

Real-analytic and semi-analytic sets (14P15) Model theory of ordered structures; o-minimality (03C64) Quasi-analytic and other classes of functions of one complex variable (30D60)

Related Items

Ilyashenko algebras based on transserial asymptotic expansions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Global complexification of real analytic globally subanalytic functions
• \(o\)-minimality and the André-Oort conjecture for \(\mathbb{C}^{n}\)
• On the real exponential field with restricted analytic functions
• The elementary theory of restricted analytic fields with exponentiation
• Ordered exponential fields
• Definability of restricted theta functions and families of abelian varieties
• Complex continuations of ℝ_an,exp-definable unary functions with a diophantine application
• Quasianalytic Ilyashenko Algebras
• Logarithmic-exponential series