Characterizations of Δ-Volterra lattice: a symmetric orthogonal polynomials interpretation

In this paper we introduce the Δ-Volterra lattice which is interpreted in terms of symmetric orthogonal polynomials. It is shown that the measure of orthogonality associated with these systems of orthogonal polynomials evolves in t like (1+x2)1−tμ(x)(1+x2)1−tμ(x) where μ is a given positive Borel me...

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Bibliographic Details
Main Author: Area, I. (author)
Other Authors: Branquinho, A. (author), Moreno, A. Foulquié (author), Godoy, E. (author)
Format: article
Language:eng
Published: 2018
Subjects:
Orthogonal polynomials
Difference operators
Operator theory
Toda lattices
Online Access:http://hdl.handle.net/10773/15123
Country:Portugal
Oai:oai:ria.ua.pt:10773/15123

Internet

http://hdl.handle.net/10773/15123

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