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arXiv · 1605.04275

Universality limits for generalized Jacobi measures

Tivadar Danka
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Abstract

In this paper universality limits are studied in connection with measures which exhibit power-type singular behavior somewhere in their support. We extend the results of Lubinsky for Jacobi measures supported on $ [-1,1] $ to generalized Jacobi measures supported on a compact subset of the real line, where the singularity can be located in the interior or at an endpoint of the support. The analysis is based upon the Riemann-Hilbert method, Christoffel functions, the polynomial inverse image method of Totik and the normal family approach of Lubinsky.

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Tivadar Danka. 2016-05-13. Universality limits for generalized Jacobi measures. https://arxiv.org/abs/1605.04275

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