Orthogonal polynomials on the unit circle associated with the Laguerre polynomials
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Abstract:
Using the well-known fact that the Fourier transform is unitary, we obtain a class of orthogonal polynomials on the unit circle from the Fourier transform of the Laguerre polynomials (with suitable weights attached). Some related extremal problems which arise naturally in this setting are investigated.References
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Additional Information
- Li-Chien Shen
- Affiliation: Department of Mathematics, University of Florida, Gainesville, Florida 32611-8105
- Email: shen@math.ufl.edu
- Received by editor(s): June 1, 1999
- Published electronically: October 11, 2000
- Communicated by: Hal L. Smith
- © Copyright 2000 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 129 (2001), 873-879
- MSC (2000): Primary 33C47
- DOI: https://doi.org/10.1090/S0002-9939-00-05821-4
- MathSciNet review: 1802005