Explicit eigenvalue estimates for transfer operators

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dc.creatorBandtlow, Oscar F.
dc.creatorJenkinson, Oliver
dc.date2008-02-12
dc.date.accessioned2026-07-07T09:20:15Z
dc.date.available2026-07-07T09:20:15Z
dc.descriptionWe 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.
dc.description19 pages, to appear in Advances in Mathematics
dc.identifierhttps://arxiv.org/abs/0802.1638
dc.identifierhttp://arxiv.org/abs/0802.1638
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/154661
dc.subjectDynamical Systems
dc.subjectFunctional Analysis
dc.titleExplicit eigenvalue estimates for transfer operators
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