**Jacobi Operators and Complete Integrable Nonlinear Lattices**

by Gerald Teschl

**Publisher**: American Mathematical Society 1999**ISBN/ASIN**: 0821819402**ISBN-13**: 9780821819401**Number of pages**: 369

**Description**:

This book is intended to serve both as an introduction and a reference to spectral and inverse spectral theory of Jacobi operators (i.e., second order symmetric difference operators) and applications of these theories to the Toda and Kac-van Moerbeke hierarchy. Starting from second order difference equations we move on to self-adjoint operators and develop discrete Weyl-Titchmarsh-Kodaira theory, covering all classical aspects like Weyl m-functions, spectral functions, the moment problem, inverse spectral theory, and uniqueness results.

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