From Toeplitz matrix sequences to zero distribution of orthogonal polynomials

Authors:
Dario Fasino;Stefano Serra Capizzano
Affiliations:
Dipartimento di Matematica e Informatica, Università di Udine, Udine, Italy;Dipartimento di Chimica, Fisica e Matematica, Università Dell'Insubria, Como, Italy
Venue:
Contemporary mathematics
Year:
2001

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Abstract

We review some classical results on the zero distribution of orthogonal polynomials on the light of spectral theory for Toeplitz matrix sequences. In particular, we discuss and extend some recent results by A. Kuijlaars and W. Van Assche on orthogonal polynomials with asymptotically periodic and varying recurrence coefficients.