paper

Explicit eigenvalue estimates for transfer operators

arXiv:0802.1638

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.

19 pages, to appear in Advances in Mathematics

Explicit eigenvalue estimates for transfer operators · wovepaper