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: Transmutations and Applications: a surveyTransmutations and Applications: a survey
by - arXiv
We consider main transmutation theory topics with many applications, including author's own results. The topics covered are: transmutations for Sturm-Liouville operators, Vekua-Erdelyi-Lowndes transmutations, Sonine and Poisson transmutations, etc.
(8305 views)
Book cover: Problems in Mathematical AnalysisProblems in Mathematical Analysis
by - 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.
(23606 views)
Book cover: Special Functions, a ReviewSpecial Functions, a Review
by - viXra
The present document is concerned with the review of the most frequently special functions applied in scientific fields. We review their principal properties and their interactions with different branches especially in mathematics ...
(5911 views)
Book cover: Linear Mathematics In Infinite DimensionsLinear Mathematics In Infinite Dimensions
by - The Ohio State University
Contents: Infinite Dimensional Vector Spaces; Fourier Theory; Sturm-Liouville Theory; Green's Function Theory; Special Function Theory; Partial Differential Equations; System of Partial Differential Equations: How to Solve Maxwell's Equations ...
(6844 views)