Random homeomorphisms and Fourier expansions - the pointwise behavior
| dc.creator | Kozma, Gady | |
| dc.date | 2005-11-02 | |
| dc.date.accessioned | 2026-07-07T06:50:38Z | |
| dc.date.available | 2026-07-07T06:50:38Z | |
| dc.description | Let phi be a Dubins-Freedman random homeomorphism on [0,1] derived from the base measure uniform on the vertical line x=1/2, and let f be a periodic function satisfying that |f(x)-f(0)| = o(1/log log log 1/x). Then the Fourier expansion of f composed with phi converges at 0 with probability 1. In the condition on f, o cannot be replaced by O. Also we deduce some 0-1 laws for this kind of problems. | |
| dc.description | 20 pages. Part of my PhD thesis | |
| dc.identifier | https://arxiv.org/abs/math/0511036 | |
| dc.identifier | http://arxiv.org/abs/math/0511036 | |
| dc.identifier | Israel J. Math. 139 (2004), 189-213 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/104726 | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | Probability | |
| dc.subject | 42A61, 42A20, 60F20, 60B15, 60K99, 39B22 | |
| dc.title | Random homeomorphisms and Fourier expansions - the pointwise behavior | |
| dc.type | text |