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KIAM Preprint № 1, Moscow, 2024
Authors: Aptekarev A.I.
Szego asymptotcs for Angelesco systems
Abstract:
We discuss opportunity for extension the strong asymptotics (Szego asymptotics) for more wide class of the sequences of multiple orthogonal polynomials with respect to the system of weights supported by the non-intersecting intervals (Angelesco system). The interest for limiting properties of these polynomials, when their multi-index tends monotonically to in_nity (along of the edges of p-dimensional lattice) has appeared recently, in onnection with spectral problems for the discrete Schrodinger operator (multidimensional Jacobi matrix) on the graph-trees.
Keywords:
multiple orthogonal polynomials, Jacobi matrices on the graph-trees, Angelesco systems, asymptotics of polynomial sequences, Szego condition
Publication language: russian,  pages: 20
Research direction:
Mathematical problems and theory of numerical methods
Russian source text:
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About authors:
  • Aptekarev Alexander Ivanovich,  orcid.org/0000-0003-2777-3903KIAM RAS