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Asymptotic Behavior of Sobolev-Type Orthogonal Polynomials on the Unit Circle

✍ Scribed by Ana Foulquié Moreno; Francisco Marcellán; K. Pan

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
184 KB
Volume
100
Category
Article
ISSN
0021-9045

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✦ Synopsis

We study the asymptotic behavior of the sequence of polynomials orthogonal with respect to the discrete Sobolev inner product on the unit circle

is a M_M positive definite matrix or a positive semidefinite diagonal block matrix, M=l 1 + } } } +l m +m, d+ belongs to a certain class of measures, and |z i | >1, i=1, 2, ..., m.

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