Real analytic functions and monomial curves

Autorzy

Dane publikacji

  • DOI: 10.4064/ba230403-12-6

  • Tom 71

  • Zeszyt 1

  • Czasopismo: Bulletin of the Polish Academy of Sciences Mathematics

  • Strony: 53-63

  • Data publikacji online: 25.06.2023

Liczba wyświetleń: 0

Liczba pobrań: 0

Abstrakt

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.
Real analytic functions and monomial curves - Bulletin of the Polish Academy of Sciences Mathematics | Wydawnictwa - Instytut Matematyczny Polskiej Akademii Nauk