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TW 535
Adhemar Bultheel and Andreas Lasarow
On the existence of para-orthogonal rational functions on the unit circle
Abstract
Similar as in the classical case of polynomials, as is known, para-orthogonal rational functions on the unit circle can be used to obtain quadrature formulas of Szegö-type to approximate some integrals. In the present paper we carry out a thorough discussion of the existence of such rational functions in terms of the underlying Borel measure on the unit circle.
report.pdf (254K) / mailto: A. Bultheel