Meromorphic extension of the zeta function for Axiom A flows
- 1 June 1990
- journal article
- research article
- Published by Cambridge University Press (CUP) in Ergodic Theory and Dynamical Systems
- Vol. 10 (2) , 347-360
- https://doi.org/10.1017/s0143385700005587
Abstract
We prove the meromorphicity of the zeta function on shifts of finite type for Hölder continuous functions assuming that the essential spectrum of the associated Ruelle operator is contained in the open unit disc. This result allows to extend the region of meromorphicity of the zeta function for Axiom A flows by a strip whose width is determined by the contraction rate of the flow.Keywords
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