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Real analytic functions and monomial curves

Volume 71 / 2023

János Kollár Bulletin Polish Acad. Sci. Math. 71 (2023), 53-63 MSC: 14Pxx. DOI: 10.4064/ba230403-12-6 Published online: 26 June 2023

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.

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