Explicit eigenvalue estimates for transfer operators
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 Cd, and L is a suitable transfer operator acting on Bergman space A2(D), its eigenvalue sequence lambdan(L) is bounded by |lambdan(L)| ≤ A(-a n1/d), where a, A are explicitly given.
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