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nlin.SIMay 22, 2001
14
citations (OpenAlex)
authors
  • L. Faybusovich
  • M. Gekhtman
institutions
  • University of Notre Dame
arXiv abstractPDF
paper

Inverse moment problem for elementary co-adjoint orbits

arXiv:nlin/0105051 · doi:10.1088/0266-5611/17/5/304

Abstract

We give a solution to the inverse moment problem for a certain class of Hessenberg and symmetric matrices related to integrable lattices of Toda type.

13 pages

References in corpus (1)

  • Faces of Relativistic Toda Chain

Cited by in corpus (10)

  • Matrix Orthogonal Laurent Polynomials on the Unit Circle and Toda Type Integrable Systems
  • Orthogonal Laurent polynomials in unit circle, extended CMV ordering and 2D Toda type integrable hierarchies
  • Biorthogonal Laurent polynomials, Toeplitz determinants, minimal Toda orbits and isomonodromic tau functions
  • A view of the peakon world through the lens of approximation theory
  • Moment determinants as isomonodromic tau functions
  • Generalized Bäcklund-Darboux transformations for Coxeter-Toda flows from a cluster algebra perspective
  • Matrix biorthogonal polynomials in the unit circle: Riemann-Hilbert problem and matrix discrete Painleve II system
  • Inverse moment problem for non-Abelian Coxeter double Bruhat cells
  • A non-local Poisson bracket for Coxeter--Toda lattices
  • An isospectral transformation between Hessenberg matrix and Hessenberg-bidiagonal matrix pencil without using subtraction
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