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Nonfiction Jacobi Operators and Complete Integrable Nonlinear Lattices

Posted on 2010-04-05




Name:Nonfiction Jacobi Operators and Complete Integrable Nonlinear Lattices
ASIN/ISBN:0821819402
Language:English
Pages:369
File size:7.9 Mb
   Nonfiction Jacobi Operators and Complete Integrable Nonlinear Lattices

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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.

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