Margulis distributions for Anosov flows
\textit{G. A. Margulis} [Funct. Anal. Appl. 4, 55-67 (1970), translation from Funkts. Anal. Prilozh. 4, No.1, 62-76 (1970; Zbl 0245.58003)] constructed a (unique) transverse measure for the strong-stable foliation of an Anosov flow. In this paper Margulis' result is extended to more general ``transverse distributions'' for the foliation. As an application the author derives his main result to the effect that the nonzero analytic extension to a strip of the Selberg zeta function for compact surfaces of constant negative curvature persists under small perturbations in the metric. He also states an equivalent formulation in terms of the Fourier transform of the correlation function.
scientific article; zbMATH DE number 4030566
scientific article