5 citations · 11 across the 14 of their papers we have counts for
5 papers · 1 filter
Stahl-Totik Regularity for Dirac Operators
Benjamin Eichinger, Ethan Gwaltney, Milivoje Lukić
We develop a theory of regularity for Dirac operators with uniformly locally square-integrable operator data. This is motivated by Stahl--Totik regularity for orthogonal polynomial…
Reflectionless canonical systems, II. Almost periodicity and character-automorphic Fourier transforms
Roman Bessonov, Milivoje Lukić, Peter Yuditskii
We develop a comprehensive theory of reflectionless canonical systems with an arbitrary Dirichlet-regular Widom spectrum with the Direct Cauchy Theorem property. This generalizes,…
Reflectionless canonical systems, I. Arov gauge and right limits
Roman Bessonov, Milivoje Lukić, Peter Yuditskii
In spectral theory, -monotonic families of matrix functions appear as transfer matrices of many one-dimensional operators. We present a general theory of such famili…
Orthogonal rational functions with real poles, root asymptotics, and GMP matrices
Benjamin Eichinger, Milivoje Lukić, Giorgio Young
There is a vast theory of the asymptotic behavior of orthogonal polynomials with respect to a measure on and its applications to Jacobi matrices. That theory has an ob…
Stahl--Totik regularity for continuum Schrödinger operators
Benjamin Eichinger, Milivoje Lukić
We develop a theory of regularity for continuum Schrödinger operators based on the Martin compactification of the complement of the essential spectrum. This theory is inspired by S…