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Zeitschrift für Analysis und ihre Anwendungen


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Volume 12, Issue 3, 1993, pp. 457–469
DOI: 10.4171/ZAA/553

Published online: 1993-09-30

Schur Functions, Schur Parameters and Orthogonal Polynomials on the Unit Circle

Leonid B. Golinskii[1]

(1) Institute for Low Temperature Physics, Kharkov, Ukraine

Properties of Schur functions on the unit circle and asymptotic behaviour of corresponding Schur parameters are investigated. Connection between the Schur parameters and the reflection coefficients of a certain system of orthogonal polynomials on the unit circle is used.

Keywords: Schur functions, orthogonal polynomials, reflection coefficients, modulus of continuity

Golinskii Leonid: Schur Functions, Schur Parameters and Orthogonal Polynomials on the Unit Circle. Z. Anal. Anwend. 12 (1993), 457-469. doi: 10.4171/ZAA/553