Abstract
Using a few basics from integration theory, a short proof of nowhere-differentiability of Weierstrass functions is given. Restated in terms of the Fourier transformation, the method consists in principle of a second microlocalisation, which is used to derive two general results on existence of nowhere differentiable functions. Examples are given in which the frequencies are of polynomial growth and of almost quadratic growth as a borderline case.
Originalsprog | Engelsk |
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Tidsskrift | Journal of Fourier Analysis and Applications |
Vol/bind | 16 |
Udgave nummer | 1 |
Sider (fra-til) | 17-33 |
Antal sider | 17 |
ISSN | 1069-5869 |
DOI | |
Status | Udgivet - 2010 |