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arXiv 1003.1670math.FA
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Helson-Szegö测度的Schur参数序列描述

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

Vladimir K. Dubovoy, Bernd Fritzsche, Bernd Kirstein

摘要:

设μ是单位圆的Borelian σ-代数上的一个概率测度.然后将单位圆盘上的Schur函数θ与μ联系起来,给出了μ是Helson-Szegö测度时,θ的Schur参数序列的刻画.

英文摘要:

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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