Logo

Jacobi Operators and Complete Integrable Nonlinear Lattices

Large book cover: Jacobi Operators and Complete Integrable Nonlinear Lattices

Jacobi Operators and Complete Integrable Nonlinear Lattices
by

Publisher: American Mathematical Society
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.

Home page url

Download or read it online for free here:
Download link
(2.6MB, PDF)

Similar books

Book cover: Mathematical Methods for Economic Theory: a tutorialMathematical Methods for Economic Theory: a tutorial
by - University of Toronto
This tutorial covers the basic mathematical tools used in economic theory. The main topics are multivariate calculus, concavity and convexity, optimization theory, differential and difference equations. Knowledge of elementary calculus is assumed.
(11318 views)
Book cover: Advanced Calculus and AnalysisAdvanced Calculus and Analysis
by - University of Aberdeen
Introductory calculus course, with some leanings to analysis. It covers sequences, monotone convergence, limits, continuity, differentiability, infinite series, power series, differentiation of functions of several variables, and multiple integrals.
(23530 views)
Book cover: Semi-classical analysisSemi-classical analysis
by - Harvard University
In semi-classical analysis many of the basic results involve asymptotic expansions in which the terms can by computed by symbolic techniques and the focus of these lecture notes will be the 'symbol calculus' that this creates.
(7882 views)
Book cover: Multivector Differential CalculusMultivector Differential Calculus
by - arXiv
This paper treats the fundamentals of the multivector differential calculus part of geometric calculus. The multivector differential is introduced, followed by the multivector derivative and the adjoint of multivector functions.
(5931 views)