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Strong asymptotics for Sobolev orthogonal polynomials

✍ Scribed by Andrei Martínez Finkelshtein; Héctor Pijeira Cabrera


Publisher
Springer-Verlag
Year
1999
Tongue
English
Weight
529 KB
Volume
78
Category
Article
ISSN
0021-7670

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Strong asymptotics inside the unit disk
✍ E. Berriochoa; A. Cachafeiro 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 412 KB

In the present paper, we give sufficient conditions in order to establish the extension of the strong asymptotics up to the boundary and inside the unit disk for Sobolev orthogonal polynomials. We consider the following Sobolev inner product on the unit circle: with tt0 a finite positive Borel mea