**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

**Introduction to Analysis**

by

**Ray Mayer**-

**Reed College**

Contents: Notation, Undefined Concepts, Examples; Fields; Induction and Integers; Complexification of a Field; Real Numbers; Complex Numbers; Complex Sequences; Continuity; Properties of Continuous Functions; Derivative; Infinite Series; etc.

(

**2267**views)

**A Course in Mathematical Analysis**

by

**E. Goursat, O. Dunkel, E.R. Hedrick**-

**Ginn & company**

Goursat's three-volume 'A Course in Mathematical Analysis' remains a classic study and a thorough treatment of the fundamentals of calculus. As an advanced text for students with one year of calculus, it offers an exceptionally lucid exposition.

(

**3929**views)

**Lectures on Disintegration of Measures**

by

**L. Schwartz**-

**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.

(

**5144**views)

**Problems in Mathematical Analysis**

by

**B. P. Demidovich**-

**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.

(

**19536**views)