Real analytic functions and monomial curves

• Autorzy: Kollár János

Identyfikatory

DOI

10.4064/ba230403-12-6

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

real analytic function; monomial curve; resolution of singularities

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2023
• Tom: Vol. 71, no 1
• Strony: 53--64
• Opis fizyczny: Bibliogr. 28 poz.

Twórcy

autor

Kollár János

• Department of Mathematics Princeton, University Princeton, NJ 08544-1000, USA

• https://orcid.org/0000-0002-5231-3629

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).