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Meromorphic extension of the zeta function for Axiom A flows

Published online by Cambridge University Press:  19 September 2008

Nicolai T. A. Haydn
Nicolai T. A. Haydn
Affiliation:
Department of Mathematics, University of Toronto, Toronto M5S 1A1, Canada
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Abstract

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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.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 10 , Issue 2 , June 1990 , pp. 347 - 360
Copyright
Copyright © Cambridge University Press 1990

References

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