Real analytic functions and monomial curves

János Kollár

doi:10.4064/ba230403-12-6

Real analytic functions and monomial curves

János Kollár

Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

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.

Original language	English (US)
Pages (from-to)	53
Number of pages	1
Journal	Bulletin of the Polish Academy of Sciences. Mathematics
Volume	71
Issue number	1
DOIs	https://doi.org/10.4064/ba230403-12-6
State	Published - 2023

All Science Journal Classification (ASJC) codes

Mathematics (miscellaneous)

Keywords

monomial curve
real analytic function
resolution of singularities

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10.4064/ba230403-12-6

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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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KW - resolution of singularities

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JO - Bulletin of the Polish Academy of Sciences. Mathematics

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Real analytic functions and monomial curves

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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