Real analyticity of a $C^{\infty }$-germ at the origin
Volume 128 / 2022
Annales Polonici Mathematici 128 (2022), 87-97
MSC: 32A05, 32C07, 32D15, 32U35.
DOI: 10.4064/ap210125-31-3
Published online: 15 November 2021
Abstract
The work is devoted to real analyticity in the ball $B(0,1)$ of a function $f$ that is infinitely smooth at $0\in {\mathbb R}^{n}$ and whose restrictions to lines $l\ni 0$ are real analytic in the interval $l\cap B(0,1)\approx (-1,1).$
