Title

On Sieved Orthogonal Polynomials Ix: Orthogonality On The Unit Circle

Abstract

We study sieved orthogonal polynomials on the unit circle and using a result of Szegö we show that there is a one to one correspondence between a family of sieved orthogonal polynomials on the unit circle and two families of sieved orthogonal polynomials on the interval [-1, 1], namely sieved polynomials of the first and second kinds. We find explicit representations of the sieved polynomials and the Herglotz transform of the measure with respect to which they are orthogonal. © 1992 by Pacific Journal of Mathematics.

Publication Date

1-1-1992

Publication Title

Pacific Journal of Mathematics

Volume

153

Issue

2

Number of Pages

289-297

Document Type

Article

Identifier

scopus

Personal Identifier

scopus

DOI Link

https://doi.org/10.2140/pjm.1992.153.289

Socpus ID

84973998477 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/84973998477

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