**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

**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.

Download or read it online for free here:

**Download link**

(2.6MB, PDF)

## Similar books

**Lectures on Topics in Analysis**

by

**Raghavan Narasimhan**-

**Tata Institute of Fundamental Research**

Topics covered: Differentiable functions in Rn; Manifolds; Vector bundles; Linear differential operators; Cauchy Kovalevski Theorem; Fourier transforms, Plancherel's theorem; Sobolev spaces Hm,p; Elliptic differential operators; etc.

(

**7564**views)

**Applied Analysis**

by

**I.M. Sigal, M. Merkli**-

**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.

(

**4237**views)

**Advanced Calculus and Analysis**

by

**Ian Craw**-

**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.

(

**24680**views)

**Bernoulli Polynomials and Applications**

by

**Omran Kouba**-

**arXiv**

In these notes we try to familiarize the audience with the theory of Bernoulli polynomials; we study their properties, and we give, with proofs and references, some of the most relevant results related to them. Several applications are presented.

(

**4182**views)