V. Vinnikov, P. Yuditskii, “Functional models for almost periodic Jacobi matrices and the Toda hierarchy”, Mat. Fiz. Anal. Geom., 2002, Volume 9, Number 2,Pages <nobr>206

This article is cited in 8 papers

Functional models for almost periodic Jacobi matrices and the Toda hierarchy

V. Vinnikov^a, P. Yuditskii^b

^a Department of Mathematics, Ben-Gurion University, P.O.Box 653, Beer-Sheva, 84105, Israel
^b Department of Mathematics, Michigan State University, East Lansing, MI 48824, USA

Abstract: We construct and solve a class of evolution equations for (almost periodic) Jacobi matrices which contains as a special case the well known Toda hierarchy. Our construction arises naturally within the framework of functional models on a Riemann surface for almost periodic Jacobi matrices.

MSC: Primary 35Q58; Secondary 47A48, 47B36

Received: 19.02.2002

Language: English