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Ratio and Relative Asymptotics of Polynomials Orthogonal on an Arc of the Unit Circle

✍ Scribed by M Bello Hernández; G López Lagomasino

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
483 KB
Volume
92
Category
Article
ISSN
0021-9045

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✦ Synopsis

Ratio and relative asymptotics are given for sequences of polynomials orthogonal with respect to measures supported on an arc of the unit circle, where their absolutely continuous component is positive almost everywhere. The results obtained extend to this setting known ones given by Rakhmanov and Ma te , Nevai, and Totik for the case when the arc is the whole unit circle. Technically speaking, the main feature is the use of orthogonality with respect to varying measures.

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