On the Borel mapping in the quasianalytic setting


  • Armin Rainer
  • Gerhard Schindl




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.


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How to Cite

Rainer, A., & Schindl, G. (2017). On the Borel mapping in the quasianalytic setting. MATHEMATICA SCANDINAVICA, 121(2), 293–310. https://doi.org/10.7146/math.scand.a-97101