Exact solutions of the semi-infinite Toda lattice with applications to the inverse spectral problem
type: Item
instance of: scholarly article
title: Exact solutions of the semi-infinite Toda lattice with applications to the inverse spectral problem
zbMATH Open document ID: 1070.37054
DOI: 10.1155/S1085337504306135
author: K. N. Vlachou
author: E. K. Ifantis
published in: Abstract and Applied Analysis
publication date: 2005-04-29T00:00:00Z
full work available at URL: https://eudml.org/doc/51599
review text: The authors present some exact solutions \(\{\alpha_ n(t),b_ n(t)\}_{n=1}^{\infty}\) for \(t\geq 0\) to the semi-infinite Toda lattice. Such solutions are then related to the solution to the inverse spectral problem of determining the set of constants \(\{\alpha_ n(0),b_ n(0)\}_{n=1}^{\infty}\) from a set of orthogonal polynomials \(\{P_ n(x)\}_{n=0}^{\infty}\) for \(x\in \mathbb R\) or equivalently from an associated probability measure. This paper is the extension of the earlier paper [Lett. Math. Phys. 59, No. 1, 1--17 (2002; Zbl 1004.37061)] by the authors.
reviewed by: Tuncay Aktosun
Mathematics Subject Classification ID: 37K60
Mathematics Subject Classification ID: 34A55
Mathematics Subject Classification ID: 37K10
Mathematics Subject Classification ID: 42C05
Mathematics Subject Classification ID: 37K15
Mathematics Subject Classification ID: 33C45
zbMATH DE Number: 2163664
zbMATH Keywords: Toda lattice
zbMATH Keywords: inverse spectral problem
zbMATH Keywords: orthogonal polynomials
MaRDI profile type: Publication
OpenAlex ID: W2031271122
description: scientific article; zbMATH DE number 2163664