**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.

(

**3012**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.

(

**5751**views)

**Short introduction to Nonstandard Analysis**

by

**E. E. Rosinger**-

**arXiv**

These notes offer a short and rigorous introduction to Nostandard Analysis, mainly aimed to reach to a presentation of the basics of Loeb integration, and in particular, Loeb measures. The Abraham Robinson version of Nostandard Analysis is pursued.

(

**7900**views)

**Real Numbers and Fascinating Fractions**

by

**N. M. Beskin**

This text introduces the interesting and valuable concept of continued fractions. Contents: Two Historical Puzzles; Formation of Continued Fractions; Convergents; Non-terminating Continued Fractions; Approximation of Real Numbers.

(

**11124**views)