Title: On 2D discrete Schrödinger operators associated with multiple orthogonal polynomials
Authors: Aptekarev, Alexander
Derevyagin, Maksym
Van Assche, Walter # ×
Issue Date: Feb-2015
Publisher: Institute of Physics Publishing
Series Title: Journal of Physics A, Mathematical and Theoretical vol:48 issue:6
Article number: 065201
Abstract: A class of cross-shaped difference operators on a two dimensional lattice is introduced. The main feature of the operators in this class is that their formal eigenvectors consist of multiple orthogonal polynomials. In other words, this scheme generalizes the classical connection between Jacobi matrices and orthogonal polynomials to the case of operators on lattices. Furthermore we also show how to obtain 2D discrete Schrödinger operators out of this construction and give a number of explicit examples based on known families of multiple orthogonal polynomials.
ISSN: 1751-8113
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Analysis Section
× corresponding author
# (joint) last author

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