Spectral and factorization properties of oscillatory matrices lead to a spectral Favard
theorem for bounded banded matrices, that admit a positive bidiagonal factorization, in …

The main focus in this memoir is on Laplacians on both weighted graphs and weighted
metric graphs. Let us emphasize that we consider infinite locally finite graphs and do not …

We investigate polynomials that satisfy simultaneous orthogonality conditions with respect to
several measures on the unit circle. We generalize the direct and inverse Szegő recurrence …

We consider a class of discrete Schrödinger operators on an infinite homogeneous rooted
tree. Potentials for these operators are given by the coefficients of recurrence relations …

arxiv:2404.14391v1 [math.CA] 22 Apr 2024 Page 1 arxiv:2404.14391v1 [math.CA] 22 Apr 2024
STRONG ASYMPTOTICS OF MULTIPLE ORTHOGONAL POLYNOMIALS FOR ANGELESCO …

Let $\mu_1 $ and $\mu_2 $ be two, in general complex-valued, Borel measures on the real
line such that $\mathrm {supp}\,\mu_1=[\alpha_1,\beta_1]<\mathrm {supp}\,\mu_2=[\alpha_2 …

We study a family of monic orthogonal polynomials that are orthogonal with respect to the
varying, complex‐valued weight function,, over the interval, where is arbitrary. This family of …

Multilevel interpolations for the generalized Nikishin system on a tree graph Page 1 Trudy
Moskov. Matem. Obw. Trans. Moscow Math. Soc. Tom 83 (2022), vyp. 2 https://doi.org/10.1090/mosc/338 …

Мы обсудим возможность расширения класса применимости сильных асимптотик
(асимптотик Сеге) для последовательностей многочленов, совместно ортогональных …

A characterization of the essential spectrum $\sigma_ {\text ess} $ of Schr\" odinger
operators on infinite graphs is derived involving the concept of $\mathcal {R} $-limits. This …