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Self-inversive polynomials and quasi-orthogonality on the unit circle

Self-inversive polynomials and quasi-orthogonality on the unit circle

In this paper we study quasi-orthogonality on the unit circle based on the structural and orthogonal properties of a class of self-invariant polynomials. We discuss a special case in which these polynomials are represented in terms of the reversed Szeg? polynomials of consecutive degrees and illustrate the results using contiguous …