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Orthogonal functions related to Lax pairs in Lie algebras

Journal Article (2021)
Author(s)

Wolter Groenevelt (TU Delft - Analysis)

Erik Koelink (Radboud Universiteit Nijmegen)

Research Group
Analysis
Copyright
© 2021 W.G.M. Groenevelt, Erik Koelink
DOI related publication
https://doi.org/10.1007/s11139-021-00424-9
More Info
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Publication Year
2021
Language
English
Copyright
© 2021 W.G.M. Groenevelt, Erik Koelink
Research Group
Analysis
Issue number
2
Volume number
61 (2023)
Pages (from-to)
445-474
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Abstract

We study a Lax pair in a 2-parameter Lie algebra in various representations. The overlap coefficients of the eigenfunctions of L and the standard basis are given in terms of orthogonal polynomials and orthogonal functions. Eigenfunctions for the operator L for a Lax pair for sl(d+ 1 , C) is studied in certain representations.