Quasianalytic ultradifferentiability cannot be tested in lower dimensions

Armin Rainer

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.

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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

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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

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