On a class of Verblunsky parameters that corresponds to Guseinov's class of Jacobi parameters

L. Golinskii^a, A. Kheifets^b, F. Peherstorfer^c, P. Yuditskii<sup>c

a</sup> Mathematical Division, B. Verkin Institute for Low Temperature Physics and Engineering, 47 Lenin Ave., Kharkiv, 61103, Ukraine
^b Department of Mathematics, University of Massachusetts Lowell, 01854, USA
^c Institute for Analysis, Johannes Kepler University Linz, A-4040 Linz, Austria

Key words and phrases: Verblunsky coefficients, Szegő transform, direct and inverse Geronimus relations, Jacobi matrices; spectral measure.

MSC: 47B36 (primary); 42C05 (secondary

Received: 07.08.2009

Language: English

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