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arXiv · 1909.09107

Asymptotic behaviour of Christoffel-Darboux kernel via three-term recurrence relation I

Grzegorz Świderski·Bartosz Trojan
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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.

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BibTeXRIS

Grzegorz Świderski, Bartosz Trojan. 2019-09-19. Asymptotic behaviour of Christoffel-Darboux kernel via three-term recurrence relation I. https://doi.org/10.1007/s00365-020-09519-w

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