Strong Asymptotics of Hermite-Padé Approximants for Angelesco Systems

DOI10.4153/CJM-2015-043-3zbMath1358.42022arXiv1507.07596OpenAlexW941399392MaRDI QIDQ2828382

Maxim L. Yattselev

Publication date: 25 October 2016

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.07596

zbMATH Keywords

strong asymptoticsnon-Hermitian orthogonalitymultiple orthogonal polynomialsHermite-Padé approximationmatrix Riemann-Hilbert approach

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Approximation by rational functions (41A20) Padé approximation (41A21)

Related Items (12)

Constrained minimum Riesz energy problems for a condenser with intersecting plates ⋮ Differential equations for the recurrence coefficients limits for multiple orthogonal polynomials from a Nevai class ⋮ Critical measures for vector energy: asymptotics of non-diagonal multiple orthogonal polynomials for a cubic weight ⋮ On a vector potential-theory equilibrium problem with the Angelesco matrix ⋮ Discrete Schrödinger operator on a tree, Angelesco potentials, and their perturbations ⋮ Mixed type Hermite-Padé approximants for a Nikishin system ⋮ Riemann-Hilbert analysis for a Nikishin system ⋮ On the supports of vector equilibrium measures in the Angelesco problem with nested intervals ⋮ Hermite-Padé approximants of the Mittag-Leffler functions ⋮ Self-adjoint Jacobi matrices on trees and multiple orthogonal polynomials ⋮ Spectral theory of Jacobi matrices on trees whose coefficients are generated by multiple orthogonality ⋮ Jacobi matrices on trees generated by Angelesco systems: asymptotics of coefficients and essential spectrum

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