The Euler-Lagrange Theory for Schur's Algorithm: Algebraic Exposed Points
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Date
2006
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Publisher
Academic Press inc Elsevier Science
Open Access Color
HYBRID
Green Open Access
No
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Abstract
In this paper the ideas of Algebraic Number Theory are applied to the Theory of Orthogonal polynomials for algebraic measures. The transferring tool are Wall continued fractions. It is shown that any set of closed arcs on the circle supports a quadratic measure and that any algebraic measure is either a Szego measure or a measure supported by a proper subset of the unit circle consisting of a finite number of closed arcs. Singular parts of algebraic measures are finite sums of point masses. (C) 2005 Elsevier Inc. All rights reserved.
Description
Khrushchev, Sergey/0000-0002-8854-5317
ORCID
Keywords
algebraic measures, Wall continued fractions, exposed points, Wall continued fractions, Exposed points, Mathematics(all), Numerical Analysis, Algebraic measures, Applied Mathematics, Analysis, Continued fractions, exposed points, \(H^p\)-classes, Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis, Completeness problems, closure of a system of functions of one complex variable
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Fields of Science
0301 basic medicine, 03 medical and health sciences, 0101 mathematics, 01 natural sciences
Citation
WoS Q
Q3
Scopus Q
Q3
OpenCitations Citation Count
3
Source
Journal of Approximation Theory
Volume
139
Issue
1-2
Start Page
402
End Page
429
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CrossRef : 3
Scopus : 5
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5
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5
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2
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