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arxiv: 1005.5192 · v2 · pith:5FWF3Y4Onew · submitted 2010-05-27 · 🧮 math.SP

Zeros of non-Baxter paraorthogonal polynomials on the unit circle

classification 🧮 math.SP
keywords circlecoefficientspolynomialsunitverblunskyzerosaroundasymptotics
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We provide leading order asymptotics for the size of the gap in the zeros around 1 of paraothogonal polynomials on the unit circle whose Verblunsky coefficients satisfy a slow decay condition and are inside the interval (-1,0). We also include related results that impose less restrictive conditions on the Verblunsky coefficients.

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