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Algorithms for the Geronimus transformation for orthogonal polynomials on the unit circle

✍ Scribed by Humet, Matthias; Van Barel, Marc


Book ID
121784026
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
800 KB
Volume
267
Category
Article
ISSN
0377-0427

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Orthogonal polynomials and measures on t
✍ L. Garza; J. HernΓ‘ndez; F. MarcellΓ‘n πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 657 KB

In this paper we analyze a perturbation of a nontrivial positive measure supported on the unit circle. This perturbation is the inverse of the Christoffel transformation and is called the Geronimus transformation. We study the corresponding sequences of monic orthogonal polynomials as well as the co