Abstract
This paper deals with modifications of the Lebesgue moment functional by trigonometric polynomials of degree 2 and their associated orthogonal polynomials on the unit circle. We use techniques of five-diagonal matrix factorization and matrix polynomials to study the existence of such orthogonal polynomials.
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Dedicated to Prof. Luigi Gatteschi on his 70th birthday
This research was partially supported by Diputación General de Aragón under grant P CB-12/91.
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Montaner, J.M., Alfaro, M. On five-diagonal Toeplitz matrices and orthogonal polynomials on the unit circle. Numer Algor 10, 137–153 (1995). https://doi.org/10.1007/BF02198300
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DOI: https://doi.org/10.1007/BF02198300