Restricted log-exp-analytic functions and some differentiability results

DOI10.1215/00192082-10234104OpenAlexW4312500673MaRDI QIDQ2103557

Andre Opris

Publication date: 14 December 2022

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

Full work available at URL: https://arxiv.org/abs/2112.10818

Mathematics Subject Classification ID

(C^infty)-functions, quasi-analytic functions (26E10) Semi-analytic sets, subanalytic sets, and generalizations (32B20) Elementary functions (26A09) Real-analytic functions (26E05) Model theory of ordered structures; o-minimality (03C64)

Related Items (2)

Restricted log-exp-analytic power functions ⋮ On preparation theorems for R_{an, exp}-definable functions

Cites Work

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• Stability under integration of sums of products of real globally subanalytic functions and their logarithms
• Subanalytic sets in the calculus of variation
• The elementary theory of restricted analytic fields with exponentiation
• Théorème de préparation pour les fonctions logarithmico-exponentielles. (Preparation theorem for logarithmico-exponential functions)
• Topologically Noetherian analytic algebras. Khovanskij's theory
• Extending Tamm's theorem
• Geometric categories and o-minimal structures
• Differentiability properties of log-analytic functions
• Infinite Differentiability in Polynomially Bounded O-Minimal Structures

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