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In mathematics, a '''Szegő polynomial''' is one of a family of [[orthogonal polynomials]] for the Hermitian inner product


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:<math>\int_{-\pi}^{\pi}f(e^{i\theta})\overline{g(e^{i\theta})}\,d\mu</math>
 
where d&mu; is a given positive measure on [&minus;&pi;, &pi;].
 
==References==
*{{springer|id=s/s130650|first=A.|last= Bultheel}}
*[[G. Szegő]], "Orthogonal polynomials", Colloq. Publ., 33, Amer. Math. Soc. (1967)
 
{{DEFAULTSORT:Szego polynomial}}
[[Category:Orthogonal polynomials]]
 
 
{{math-stub}}

Revision as of 20:02, 24 September 2013

In mathematics, a Szegő polynomial is one of a family of orthogonal polynomials for the Hermitian inner product

ππf(eiθ)g(eiθ)dμ

where dμ is a given positive measure on [−π, π].

References

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  • G. Szegő, "Orthogonal polynomials", Colloq. Publ., 33, Amer. Math. Soc. (1967)


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