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On the Ruelle eigenvalue sequence

Published online by Cambridge University Press:  15 September 2008

OSCAR F. BANDTLOW  and
OLIVER JENKINSON
OSCAR F. BANDTLOW
Affiliation:
School of Mathematical Sciences, Queen Mary, University of London, Mile End Road, London E1 4NS, UK (email: o.bandtlow@qmul.ac.uk, omj@maths.qmul.ac.uk)
OLIVER JENKINSON
Affiliation:
School of Mathematical Sciences, Queen Mary, University of London, Mile End Road, London E1 4NS, UK (email: o.bandtlow@qmul.ac.uk, omj@maths.qmul.ac.uk)
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Abstract

For certain 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. Explicit bounds on this eigenvalue sequence are established.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 28 , Issue 6 , December 2008 , pp. 1701 - 1711
Copyright
Copyright © 2008 Cambridge University Press

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