Asymptotics of orthogonal polynomials via the Koosis theorem

F. Nazarov, A. Volberg, P. Yuditskii

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


The main aim of this short paper is to advertise the Koosis theorem in the mathematical community, especially among those who study orthogonal polynomials. We (try to) do this by proving a new theorem about asymptotics of orthogonal polynomials for which the Koosis theorem seems to be the most natural tool. Namely, we consider the case when a Szegö measure on the unit circumference is perturbed by an arbitrary measure inside the unit disk and an arbitrary Blaschke sequence of point masses outside the unit disk.

Original languageEnglish
Pages (from-to)975-983
Number of pages9
JournalMathematical Research Letters
Issue number5-6
StatePublished - 2006


FundersFunder number
Directorate for Mathematical and Physical Sciences0200713


    • Blaschke product
    • Extremal problems
    • Orthogonal polynomials
    • Szegö's theorem
    • Weighted hubert transform


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