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arXiv 2010-03-08 0 views

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

Dubovoy, Vladimir K. · Fritzsche, Bernd · Kirstein, Bernd

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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-Szegö measure in terms of the sequence of Schur parameters of theta.

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