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november 2019 Quasianalytic ultradifferentiability cannot be tested in lower dimensions
Armin Rainer
Bull. Belg. Math. Soc. Simon Stevin 26(4): 505-517 (november 2019). DOI: 10.36045/bbms/1576206353

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.

Citation

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Armin Rainer. "Quasianalytic ultradifferentiability cannot be tested in lower dimensions." Bull. Belg. Math. Soc. Simon Stevin 26 (4) 505 - 517, november 2019. https://doi.org/10.36045/bbms/1576206353

Information

Published: november 2019
First available in Project Euclid: 13 December 2019

zbMATH: 07167740
MathSciNet: MR4042397
Digital Object Identifier: 10.36045/bbms/1576206353

Subjects:
Primary: 26E10
Secondary: 30D60 , 46E10 , 58C25

Keywords: Denjoy--Carleman class , Osgood--Hartogs type problem , Quasianalytic , ultradifferentiable class

Rights: Copyright © 2019 The Belgian Mathematical Society

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Vol.26 • No. 4 • november 2019
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