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Semiorthogonal functions and orthogonal polynomials on the unit circle

✍ Scribed by Manuel Alfaro; María José Cantero; Leandro Moral


Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
539 KB
Volume
99
Category
Article
ISSN
0377-0427

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Orthogonal polynomials and measures on t
✍ L. Garza; J. Hernández; F. Marcellán 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 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