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Jacobi Operators and Complete Integrable Nonlinear Lattices by Gerald Teschl

Jacobi Operators and Complete Integrable Nonlinear Lattices

Jacobi Operators and Complete Integrable Nonlinear Lattices by Gerald Teschl
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
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.
Mathematics Analysis & Calculus
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