Quasianalytic ultradifferentiability cannot be tested in lower dimensions
Classical Analysis and ODEs
2019-03-12 v2 Functional Analysis
Abstract
We show that, in contrast to the real analytic case, quasianalytic ultradifferentiability can never be tested in lower dimensions. Our results are based on a construction due to Jaffe.
Cite
@article{arxiv.1810.10767,
title = {Quasianalytic ultradifferentiability cannot be tested in lower dimensions},
author = {Armin Rainer},
journal= {arXiv preprint arXiv:1810.10767},
year = {2019}
}
Comments
11 pages, some details added to the proofs