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 | |
| State | Published - 2023 |
All Science Journal Classification (ASJC) codes
- Mathematics (miscellaneous)
Keywords
- monomial curve
- real analytic function
- resolution of singularities