Non Abelian Toda-type equations and matrix valued orthogonal polynomials

Autor:	Deaño, Alfredo, Morey, Lucía, Román, Pablo
Rok vydání:	2023
Předmět:	Mathematics - Classical Analysis and ODEs 37K10 33C47 33C45
Druh dokumentu:	Working Paper
Popis:	In this paper, we study parameter deformations of matrix valued orthogonal polynomials (MVOPs). These deformations are built on the use of certain matrix valued operators which are symmetric with respect to the matrix valued inner product defined by the orthogonality weight. We show that the recurrence coefficients associated with these operators satisfy generalizations of the non-Abelian lattice equations. We provide a Lax pair formulation for these equations, and an example of deformed Hermite-type matrix valued polynomials is discussed in detail. Comment: 20 pages, small typos corrected
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2302.14789 Zobrazit plný text záznamu View this record from Arxiv