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Citation - WoS: 5
Citation - Scopus: 5
The Euler-Lagrange Theory for Schur's Algorithm: Algebraic Exposed Points
(Academic Press inc Elsevier Science, 2006) Khrushchev, S
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.
Citation - WoS: 4
Citation - Scopus: 3
The Euler-Lagrange Theory for Schur's Algorithm: Wall Pairs
(Academic Press inc Elsevier Science, 2006) Khrushchev, S
This paper develops a techniques of Wall pairs for the study of periodic exposed quadratic irrationalities in the unit ball of the Hardy algebra. (C) 2005 Elsevier Inc. All rights reserved.