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A Variation on Selberg's Approximation Problem
Published 5 Jan 2014 in math.CA, math.CV, math.FA, and math.NT | (1401.0904v2)
Abstract: Let $\alpha\in\mathbb{C}$ in the upper half-plane and let $I$ be an interval. We construct an analogue of Selberg's majorant of the characteristic function of $I$ that vanishes at the point $\alpha$. The construction is based on the solution to an extremal problem with positivity and interpolation constraints.
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