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Zeros of orthogonal polynomials on the real line

โœ Scribed by Sergey A Denisov; Barry Simon

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
144 KB
Volume
121
Category
Article
ISSN
0021-9045

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โœฆ Synopsis

Let p n รฐxรž be the orthonormal polynomials associated to a measure dm of compact support in R: If Eesuppรฐdmรž; we show there is a d40 so that for all n; either p n or p nรพ1 has no zeros in รฐE ร€ d; E รพ dรž: If E is an isolated point of suppรฐmรž; we show there is a d so that for all n; either p n or p nรพ1 has at most one zero in รฐE ร€ d; E รพ dรž: We provide an example where the zeros of p n are dense in a gap of suppรฐdmรž:

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