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Singular Measures on the Unit Circle and Their Reflection Coefficients

✍ Scribed by Leonid Golinskii

Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 195 KB
Volume: 103
Category: Article
ISSN: 0021-9045
DOI: 10.1006/jath.1999.3401

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📜 SIMILAR VOLUMES

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✍ L. Golinskii 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 416 KB

Properties of second kind polynomials, and, in particular, conditions for second kind measures to be absolutely continuous are investigated. The asymptotic representation for second kind polynomials is obtained. Examples of generalized Jacobi weighted functions are considered. 1995 Academic Press. I

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Asymptotic Behaviour of Orthogonal Polynomials on the Unit Circle with Asymptotically Periodic Reflection Coefficients: II. Weak Asymptotics

✍ Franz Peherstorfer; Robert Steinbauer 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 192 KB

In this paper we study orthogonal polynomials with asymptotically periodic reflection coefficients. It's known that the support of the orthogonality measure of such polynomials consists of several arcs. We are mainly interested in the asymptotic behaviour on the support and derive weak convergence r

Cesàro Asymptotics for Orthogonal Polyno

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✍ Leonid Golinskii; Sergei Khrushchev 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 310 KB

On rank invariance of moment matrices of

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✍ Bernd Fritzsche; Bernd Kirstein; Andreas Lasarow 📂 Article 📅 2004 🏛 John Wiley and Sons 🌐 English ⚖ 373 KB

## Abstract This paper provides first tools for generalizing the theory of orthogonal rational functions on the unit circle 𝕋 created by Bultheel, González‐Vera, Hendriksen and Njåstad to the matrix case. A crucial part in this generalization is the definition of the spaces of matrix‐valued rationa

Quadratic algebraic numbers with finite

Quadratic algebraic numbers with finite b-adic expansion on the unit circle and their distribution

✍ Gerhard Dorfer; Robert F. Tichy 📂 Article 📅 2004 🏛 John Wiley and Sons 🌐 English ⚖ 228 KB 👁 1 views

## Abstract We consider elements __x__ + __y__$ \sqrt {-m} $ in the imaginary quadratic number field ℚ($ \sqrt {-m} $) such that the norm __x__^2^ + __my__^2^ = 1 and both __x__ and __y__ have a finite __b__–adic expansion for an arbitrary but fixed integer base __b__. For __m__ = 2, 3, 7 and 11 a