22 citations · 133 across the 17 of their papers we have counts for
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Christoffel functions for multiple orthogonal polynomials
Grzegorz Świderski, Walter Van Assche
We study weak asymptotic behaviour of the Christoffel--Darboux kernel on the main diagonal corresponding to multiple orthogonal polynomials. We show that under some hypotheses the…
Orthogonal polynomials with periodically modulated recurrence coefficients in the Jordan block case II
Grzegorz Świderski, Bartosz Trojan
We study Jacobi matrices with -periodically modulated recurrence coefficients when the sequence of -step transfer matrices is convergent to a non-trivial Jordan block. In par…
Orthogonal polynomials with periodically modulated recurrence coefficients in the Jordan block case
Grzegorz Świderski, Bartosz Trojan
We study orthogonal polynomials with periodically modulated recurrence coefficients when lies on the hard edge of the spectrum of the corresponding periodic Jacobi matrix. In p…
Asymptotics of orthogonal polynomials with slowly oscillating recurrence coefficients
Grzegorz Świderski, Bartosz Trojan
We study solutions of three-term recurrence relations whose -step transfer matrices belong to the uniform Stolz class. In particular, we derive the first order of their uniform…
Periodic perturbations of unbounded Jacobi matrices II: Formulas for density
Grzegorz Świderski
We give formulas for the density of the measure of orthogonality for orthonormal polynomials with unbounded recurrence coefficients. The formulas involve limits of appropriately sc…