One cannot hear the winding number
Classical Analysis and ODEs
2007-05-23 v1
Abstract
We construct an example of two continuous maps f and g of the circle to itself with the same absolute value of the Fourier transform but with different winding numbers, answering a question of Brezis.
Cite
@article{arxiv.math/0612192,
title = {One cannot hear the winding number},
author = {Jean Bourgain and Gady Kozma},
journal= {arXiv preprint arXiv:math/0612192},
year = {2007}
}
Comments
19 pages, 1 figure