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Asymptotic behaviour of Christoffel-Darboux kernel via three-term recurrence relation I (1909.09107v2)
Published 19 Sep 2019 in math.SP, math-ph, math.CA, and math.MP
Abstract: For Jacobi parameters belonging to one of the three classes: asymptotically periodic, periodically modulated and the blend of these two, we study the asymptotic behavior of the Christoffel functions and the scaling limits of the Christoffel-Darboux kernel. We assume regularity of Jacobi parameters in terms of the Stolz class. We emphasize that the first class only gives rise to measures with compact supports.