Jacobi Operators and Complete Integrable Nonlinear Lattices

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Jacobi Operators and Complete Integrable Nonlinear Lattices

Author: Gerald Teschl | Size: 2.4 MB | Format: PDF | Quality: Unspecified | Publisher: American Mathematical Society | Year: 1999 | pages: 369 | ISBN: 9780821819401

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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