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: 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.
(10296 views)
Book cover: Discrete Oscillation TheoryDiscrete Oscillation Theory
by - Hindawi Publishing Corporation
This book is devoted to a rapidly developing branch of the qualitative theory of difference equations with or without delays. It presents the theory of oscillation of difference equations, exhibiting classical as well as recent results in that area.
(12794 views)
Book cover: Elementary Mathematical AnalysisElementary Mathematical Analysis
by - The Macmillan Company
The book presents a course suitable for students in the first year of our colleges, universities, and technical schools. It presupposes on the part of the student only the usual minimum entrance requirements in elementary algebra and plane geometry.
(11672 views)
Book cover: Introduction to Methods of Applied MathematicsIntroduction to Methods of Applied Mathematics
by - Caltech
Advanced mathematical methods for scientists and engineers, it contains material on calculus, functions of a complex variable, ordinary differential equations, partial differential equations and the calculus of variations.
(19267 views)