Real analytic functions and monomial curves
Classical Analysis and ODEs
2023-04-05 v1 Algebraic Geometry
Abstract
We show that a function is real analytic at the origin iff it is arc-analytic, has a subanalytic graph, and its restriction to every monomial curve is analytic. This complements recent results of Kucharz and Kurdyka.
Keywords
Cite
@article{arxiv.2304.01338,
title = {Real analytic functions and monomial curves},
author = {János Kollár},
journal= {arXiv preprint arXiv:2304.01338},
year = {2023}
}