. SP ] 2 8 Fe b 20 13 STABILITY OF ASYMPTOTICS OF CHRISTOFFEL - DARBOUX KERNELS
نویسنده
چکیده
We study the stability of convergence of the ChristoffelDarboux kernel, associated with a compactly supported measure, to the sine kernel, under perturbations of the Jacobi coefficients of the measure. We prove stability under variations of the boundary conditions and stability in a weak sense under l and random l diagonal perturbations. We also show that convergence to the sine kernel at x implies that μ({x}) = 0.
منابع مشابه
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تاریخ انتشار 2013