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Turán measures

✍ Scribed by S. Khrushchev

Publisher: Elsevier Science
Year: 2003
Tongue: English
Weight: 156 KB
Volume: 122
Category: Article
ISSN: 0021-9045
DOI: 10.1016/s0021-9045(03)00042-x

No coin nor oath required. For personal study only.

✦ Synopsis

A probability measure s on the unit circle T is called a Tura´n measure if any point of the open unit disc D is a limit point of zeros of the orthogonal polynomials associated to s: We show that many classes of measures, including Szego¨measures, measures with absolutely convergent series of their parameters, absolutely continuous measures with smooth densities, contain Tura´n measures.

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