TY - JOUR AU - Rainer, Armin AU - Schindl, Gerhard PY - 2017/10/22 Y2 - 2024/03/29 TI - On the Borel mapping in the quasianalytic setting JF - MATHEMATICA SCANDINAVICA JA - Math. Scand. VL - 121 IS - 2 SE - Articles DO - 10.7146/math.scand.a-97101 UR - https://www.mscand.dk/article/view/97101 SP - 293-310 AB - <p>The Borel mapping takes germs at $0$ of smooth functions to the sequence of iterated partial derivatives at $0$. We prove that the Borel mapping restricted to the germs of any quasianalytic ultradifferentiable class strictly larger than the real analytic class is never onto the corresponding sequence space.</p> ER -