Your Waterstones card is changing, introducing...
TELL ME MORE
Jacobi Operators and Completely Integrable Nonlinear Lattices - Mathematical Surveys and Monographs (Hardback)
  • Jacobi Operators and Completely Integrable Nonlinear Lattices - Mathematical Surveys and Monographs (Hardback)
zoom

Jacobi Operators and Completely Integrable Nonlinear Lattices - Mathematical Surveys and Monographs (Hardback)

£75.95
Hardback 344 Pages / Published: 30/10/1999
  • Publisher out of stock

Currently unavailable to order

This product is currently unavailable.

  • This item has been added to your basket
This volume can serve as an introduction and a reference source on spectral and inverse spectral theory of Jacobi operators (i.e., second order symmetric difference operators) and applications of those theories to the Toda and Kac-van Moerbeke hierarchy. Beginning with second order difference equations, the author develops discrete Weyl-Titchmarsh-Kodaira theory, covering all classical aspects, such as Weyl $m$-functions, spectral functions, the moment problem, inverse spectral theory, and uniqueness results.Teschl then investigates more advanced topics, such as locating the essential, absolutely continuous, and discrete spectrum, subordinacy, oscillation theory, trace formulas, random operators, almost periodic operators, (quasi-)periodic operators, scattering theory, and spectral deformations. Utilizing the Lax approach, he introduces the Toda hierarchy and its modified counterpart, the Kac-van Moerbeke hierarchy. Uniqueness and existence theorems for solutions, expressions for solutions in terms of Riemann theta functions, the inverse scattering transform, Backlund transformations, and soliton solutions are derived. This text covers all basic topics of Jacobi operators and includes recent advances. It is suitable for use as a text at the advanced graduate level.

Publisher: American Mathematical Society
ISBN: 9780821819401
Number of pages: 344
Weight: 850 g

You may also be interested in...

Measurement
Added to basket
£14.95
Paperback
Schaums Outline of Tensor Calculus
Added to basket
Calculus for the Ambitious
Added to basket
Introduction to Complex Analysis
Added to basket
Stochastic Differential Equations
Added to basket
Calculus
Added to basket
£274.99
Hardback
Schaum's Outline of Vector Analysis
Added to basket
Inside Interesting Integrals
Added to basket
Calculus Essentials for Dummies
Added to basket
The Calculus Lifesaver
Added to basket

Reviews

Please sign in to write a review

Your review has been submitted successfully.