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 -topology.
@article{bwmeta1.element.bwnjournal-article-smv117i2p149bwm,
author = {Carmen N\'u\~nez and Rafael Obaya},
title = {Ergodic theory for the one-dimensional Jacobi operator},
journal = {Studia Mathematica},
volume = {119},
year = {1996},
pages = {149-171},
zbl = {0840.28008},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv117i2p149bwm}
}
Núñez, Carmen; Obaya, Rafael. Ergodic theory for the one-dimensional Jacobi operator. Studia Mathematica, Tome 119 (1996) pp. 149-171. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv117i2p149bwm/
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