Explicit eigenvalue estimates for transfer operators
Dynamical Systems
2008-02-13 v1 Functional Analysis
Abstract
We consider transfer operators acting on spaces of holomorphic functions, and provide explicit bounds for their eigenvalues. More precisely, if D is any open set in C^d, and L is a suitable transfer operator acting on Bergman space A^2(D), its eigenvalue sequence lambda_n(L) is bounded by |lambda_n(L)| \leq A\exp(-a n^{1/d}), where a, A are explicitly given.
Cite
@article{arxiv.0802.1638,
title = {Explicit eigenvalue estimates for transfer operators},
author = {Oscar F. Bandtlow and Oliver Jenkinson},
journal= {arXiv preprint arXiv:0802.1638},
year = {2008}
}
Comments
19 pages, to appear in Advances in Mathematics