Title
On Sieved Orthogonal Polynomials .9. Orthogonality On The Unit-Circle
Abbreviated Journal Title
Pac. J. Math.
Keywords
Intervals; Mathematics
Abstract
We study sieved orthogonal polynomials on the unit circle and using a result of Szego 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.
Journal Title
Pacific Journal of Mathematics
Volume
153
Issue/Number
2
Publication Date
1-1-1992
Document Type
Article
Language
English
First Page
289
Last Page
297
WOS Identifier
ISSN
0030-8730
Recommended Citation
"On Sieved Orthogonal Polynomials .9. Orthogonality On The Unit-Circle" (1992). Faculty Bibliography 1990s. 487.
https://stars.library.ucf.edu/facultybib1990/487
Comments
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