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: 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.
(25758 views)
Book cover: Lectures on Disintegration of MeasuresLectures on Disintegration of Measures
by - Tata Institute of Fundamental Research
These Notes cover I) disintegration of a measure with respect to a single sigma-algebra, and in part II, measure valued supermartingales and regular disintegration of a measure with respect to an increasing right continuous family of sigma-algebras.
(7242 views)
Book cover: Problems in Mathematical AnalysisProblems in Mathematical Analysis
by - MIR Publishers
This collection of problems and exercises in mathematical analysis covers the maximum requirements of general courses in higher mathematics for higher technical schools. It contains over 3,000 problems covering all branches of higher mathematics.
(22784 views)
Book cover: Applied AnalysisApplied Analysis
by - University of Toronto
In this course, we deal with modern analysis. Properties of functions are studied as much as they are needed for understanding maps. More specifically, our emphasis is on applications of modern analysis and the material is selected accordingly.
(5296 views)