Dawidowicz, Antoni Leon A method of construction of an invariant measure. (English) Zbl 0784.28004 Ann. Pol. Math. 57, No. 3, 205-208 (1992). Let \(V\) denote the space of all Lipschitz functions on [0,1] vanishing at 0. For \(v\in V\), \(t\geq 0\) and \(\lambda>1\) put \(T_ tv(x)=e^{\lambda t}v(xe^{-t})\). The author presents a sufficient condition allowing to construct an invariant measure for this semidynamical system (it is unique). Reviewer: U.Krengel (Göttingen) Cited in 1 Document MSC: 28C10 Set functions and measures on topological groups or semigroups, Haar measures, invariant measures 28D05 Measure-preserving transformations Keywords:Lipschitz functions; invariant measure; semidynamical system PDFBibTeX XMLCite \textit{A. L. Dawidowicz}, Ann. Pol. Math. 57, No. 3, 205--208 (1992; Zbl 0784.28004) Full Text: DOI