Abstract
We establish limits for Christoffel functions associated with orthogonal rational functions, whose poles remain a fixed distance away from the interval of orthogonality [-1, 1], and admit a suitable asymptotic distribution. The measure of orthogonality μ is assumed to be regular on [-1, 1], and to satisfy a local condition such as continuity of μ′. As a consequence, we deduce universality limits in the bulk for reproducing kernels associated with orthogonal rational functions.
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