ANALYTIC COMPLETION FOR DYNAMIC ZETA-FUNCTIONS

It is possible to extend the known domain of analyticity of dynamical zeta functions, and also of resolvents of transfer operators, by use o f the tube theorem. The case of piecewise monotone maps of the interva l is worked out explicitly, and one recovers in a very different manne r some recent results of Keller and Nowicki. In an appendix, it is sho wn that the study of piecewise monotone maps reduces to the Markovian case.