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math.CA2026
A Riemann-Hilbert approach to the computation of transform pairs
Kaitlynn Lilly, Thomas Trogdon
We develop a unified methodology that integrates spectral theory, Riemann-Hilbert problems, and inverse scattering theory for the construction and numerical evaluation of transform…
math.CA2024
On the Asymptotics of Orthogonal Polynomials on Multiple Intervals with Non-Analytic Weights
Thomas Trogdon
We consider the asymptotics of orthogonal polynomials for measures that are differentiable, but not necessarily analytic, multiplicative perturbations of Jacobi-like measures suppo…