Eigenfunctions for smooth expanding circle maps
Dynamical Systems
2011-02-22 v1
Abstract
We construct a real-analytic circle map for which the corresponding Perron-Frobenius operator has a real-analytic eigenfunction with an eigenvalue outside the essential spectral radius when acting upon -functions.
Cite
@article{arxiv.math/0405055,
title = {Eigenfunctions for smooth expanding circle maps},
author = {Gerhard Keller and Hans Henrik Rugh},
journal= {arXiv preprint arXiv:math/0405055},
year = {2011}
}
Comments
10 pages, 2 figures