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On two theorems of M. G. Krein concerning polynomials orthogonal on the unit circle

✍ Scribed by Robert L. Ellis; Israel Gohberg; David C. Lay


Publisher
SP Birkhäuser Verlag Basel
Year
1988
Tongue
English
Weight
566 KB
Volume
11
Category
Article
ISSN
0378-620X

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Classification Theorems for General Orth
✍ S.V. Khrushchev 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 411 KB

The set P of all probability measures s on the unit circle T splits into three disjoint subsets depending on properties of the derived set of {|j n | 2 ds} n \ 0 , denoted by Lim(s). Here {j n } n \ 0 are orthogonal polynomials in L 2 (ds). The first subset is the set of Rakhmanov measures, i.e., of