Description of Helson-Szegö measures in terms of the Schur parameter sequences of associated Schur functions

Details Description of Helson-Szegö measures in terms of the Schur parameter sequences of associated Schur functions Description of Helson-Szegö measures in terms of the Schur parameter sequences of associated Schur functions

2010-03-08

arxiv.org/abs/1003.1670v4

Mathematics

Functional Analysis

29 pages; Typos corrected in Section 6; Section 6 revised and extended; Typo corrected on page 27;

Scientific paper

Let mu be a probability measure on the Borelian sigma-algebra of the unit
circle. Then we associate a Schur function theta in the unit disk with mu and
give characterizations of the case that mu is a Helson-Szeg\"o measure in terms
of the sequence of Schur parameters of theta.

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