Proceedings of the American Mathematical Society

Orthogonal polynomials on the unit circle associated with the Laguerre polynomials

Author(s): Li-Chien Shen
Journal: Proc. Amer. Math. Soc. 129 (2001), 873-879.
MSC (2000): Primary 33C47
Posted: October 11, 2000
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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.

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Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 33C47

Li-Chien Shen
Affiliation: Department of Mathematics, University of Florida, Gainesville, Florida 32611-8105
Email: shen@math.ufl.edu

DOI: 10.1090/S0002-9939-00-05821-4
PII: S 0002-9939(00)05821-4
Keywords: Fourier transform, Laguerre polynomial
Received by editor(s): June 1, 1999
Posted: October 11, 2000
Communicated by: Hal L. Smith
Copyright of article: Copyright 2000, American Mathematical Society

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