On the Borel mapping in the quasianalytic setting
classification
🧮 math.CA
math.FA
keywords
borelmappingclassgermsquasianalyticsequenceanalyticcorresponding
read the original abstract
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.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.