Mass points of measures on the unit circle and reflection coefficients

Golinskii, Leonid

doi:10.1090/S0002-9939-02-06706-0

Mass points of measures on the unit circle and reflection coefficients
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by Leonid Golinskii PDF

Proc. Amer. Math. Soc. 131 (2003), 1771-1776 Request permission

Abstract:

Measures on the unit circle and orthogonal polynomials are completely determined by their reflection coefficients through the Szegő recurrences. We find the conditions on the reflection coefficients which provide the lack of a mass point at $\zeta =1$. We show that the result is sharp in a sense.

References

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