2 citations · 5 across the 13 of their papers we have counts for
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-functions via contour integrals and universal sum rules
Guglielmo Fucci, Mateusz Piorkowski, Jonathan Stanfill
This work develops an analytic framework for the study of the -function associated with general sequences of complex numbers. We show that a contour integral representation, com…
Wiener-Hopf factorizations and matrix-valued orthogonal polynomials
Arno B. J. Kuijlaars, Mateusz Piorkowski
We compare two methods for analysing periodic dimer models. These are the matrix-valued orthogonal polynomials approach due to Duits and one of the authors, and the Wiener-Hopf app…
The Jacobi operator on and its various -functions
Fritz Gesztesy, Lance L. Littlejohn, Mateusz Piorkowski +1
We offer a detailed treatment of spectral and Weyl-Titchmarsh-Kodaira theory for all self-adjoint Jacobi operator realizations of the differential expression \begin{align*} τ_{α,β}…
Recurrence Coefficients for Orthogonal Polynomials with a Logarithmic Weight Function
Percy Deift, Mateusz Piorkowski
We prove an asymptotic formula for the recurrence coefficients of orthogonal polynomials with orthogonality measure on . The asymp…
The Jacobi operator and its Donoghue -functions
Fritz Gesztesy, Mateusz Piorkowski, Jonathan Stanfill
In this paper we construct Donoghue -functions for the Jacobi differential operator in , associated to the differential expression \begi…