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math.DS2008
Explicit eigenvalue estimates for transfer operators
Oscar F. Bandtlow, Oliver Jenkinson
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…
math.DS2008★ 1 cited
On the Ruelle eigenvalue sequence
Oscar F. Bandtlow, Oliver Jenkinson
For certain real analytic data, we show that the eigenvalue sequence of the associated transfer operator L is insensitive to the holomorphic function space on which L acts. Explici…
math.DS2008★ 7 cited
Explicit a priori bounds on transfer operator eigenvalues
Oscar F. Bandtlow, Oliver Jenkinson
We provide explicit bounds on the eigenvalues of transfer operators defined in terms of holomorphic data.