Ergodic theory for the one-dimensional Jacobi operator
Volume 117 / 1996
Studia Mathematica 117 (1996), 149-171
DOI: 10.4064/sm-117-2-149-171
Abstract
We determine the number and properties of the invariant measures under the projective flow defined by a family of one-dimensional Jacobi operators. We calculate the derivative of the Floquet coefficient on the absolutely continuous spectrum and deduce the existence of the non-tangential limit of Weyl m-functions in the $L^1$-topology.
