Nondegeneracy, relative differentiability, and integral representation of weak Markov systems
Let \(H(I)\) be the space of real analytic functions on the open interval \(I\subset \mathbb{R}\). Firstly, the authors give an example of a normalized weak Markov system on \(C^ \infty(I)\) which has no ``integral representation''. In the analytic case one obtains that every weak Markov system \(\{f_ 0, f_ 1,\dots, f_ n\}\subseteq H(I)\) is normalizable in a certain sense and the normalized system \(\{1, g_ 1,\dots, g_ n\}\subseteq H(I)\) forms a representable Markov system.
scientific article; zbMATH DE number 701336