JournalszaaVol. 12, No. 3pp. 457–469

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

  • Leonid B. Golinskii

    Institute for Low Temperature Physics, Kharkov, Ukraine
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Abstract

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.

Cite this article

Leonid B. Golinskii, Schur Functions, Schur Parameters and Orthogonal Polynomials on the Unit Circle. Z. Anal. Anwend. 12 (1993), no. 3, pp. 457–469

DOI 10.4171/ZAA/553