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arXiv · 0802.1638

Explicit eigenvalue estimates for transfer operators

Oscar F. Bandtlow·Oliver Jenkinson
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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.

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Oscar F. Bandtlow, Oliver Jenkinson. 2008-02-12. Explicit eigenvalue estimates for transfer operators. https://arxiv.org/abs/0802.1638

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