Growth of log-analytic functions

DOI10.1007/s00013-023-01857-yzbMath1529.32004arXiv2301.02187OpenAlexW4367176476MaRDI QIDQ6156373

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Publication date: 13 June 2023

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2301.02187

zbMATH Keywords

exponential growthpolynomially boundedlog-analytic functions

Mathematics Subject Classification ID

Real-analytic and semi-analytic sets (14P15) Rate of growth of functions, orders of infinity, slowly varying functions (26A12) Semi-analytic sets, subanalytic sets, and generalizations (32B20) Elementary functions (26A09) Model theory of ordered structures; o-minimality (03C64)

Cites Work

• Unnamed Item
• Densité des ensembles sous-analytiques. (On the density of subanalytic sets)
• Théorème de préparation pour les fonctions logarithmico-exponentielles. (Preparation theorem for logarithmico-exponential functions)
• A geometric proof of the definability of Hausdorff limits
• Geometric categories and o-minimal structures
• Differentiability properties of log-analytic functions

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