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Global Complexification of Real Analytic Restricted Log-Exp-Analytic Functions

Logic 2024-07-02 v2 Algebraic Geometry Complex Variables

Abstract

We show that a real analytic restricted log-exp-analytic function has a holomorphic extension which is again restricted log-exp-analytic. We also establish a parametric version of this result.

Keywords

Cite

@article{arxiv.2205.12011,
  title  = {Global Complexification of Real Analytic Restricted Log-Exp-Analytic Functions},
  author = {Andre Opris},
  journal= {arXiv preprint arXiv:2205.12011},
  year   = {2024}
}

Comments

159 pages, 5 figures

R2 v1 2026-06-24T11:26:57.389Z