Explicit eigenvalue estimates for transfer operators acting on spaces of holomorphic functions |
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| Authors: | Oscar F. Bandtlow Oliver Jenkinson |
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| Affiliation: | School of Mathematical Sciences, Queen Mary, University of London, Mile End Road, London, E1 4NS, UK |
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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 Ω is any open set in Cd, and L is a suitable transfer operator acting on Bergman space A2(Ω), its eigenvalue sequence {λn(L)} is bounded by |λn(L)|?Aexp(−an1/d), where a,A>0 are explicitly given. |
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| Keywords: | Transfer operators Bergman spaces Eigenvalue asymptotics |
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