Spectral Methods For Operators Of Mathematical Physics

, by Janas, Jan; Kurasov, P.; Naboko, S.

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ISBN: 9783764371333 | 3764371331
Cover: Hardcover
Copyright: 10/31/2004

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This book presents recent results from the following areas: spectral analysis of one-dimensional Schrödinger and Jacobi operators, discrete WKB analysis of solutions of second order difference equations, and applications of functional models of non-selfadjoint operators. It is addressed to a wide group of specialists working in operator theory or mathematical physics.

Introduction

vii

Vadim Adamyan and Heinz Langer

Partial Non-stationary Perturbation Determinants

(18)

Dariusz Cichon, Jan Stochel and Franciszek Hugon Szafraniec

Noncommuting Domination

(16)

Petru Cojuhari

The Problem of the Finiteness of the Point Spectrum for Self-adjoint Operators. Perturbations of Wiener-Hopf Operators and Applications to Jacobi Matrices

(16)

Vladimir Derkach, Seppo Hassi and Henk de Snoo

Singular Perturbations as Range Perturbations in a Pontryagin Space

(18)

Aad Dijksma, Heinz Langer, Annemarie Luger and Yuri Shondin

Minimal Realizations of Scalar Generalized Nevanlinna Functions Related to Their Basic Factorization

(22)

Joanne Dombrowski

Eigenvalues and Spectral Gaps Related to Periodic Perturbations of Jacobi Matrices

(10)

Jeffrey S. Geronimo, Oscar Bruno and Walter Van Assche

WKB and Turning Point Theory for Second-order Difference Equations

101

(38)

Daphne J. Gilbert, Bernard J. Harris and Suzanne M. Riehl

Bounds for the Points of Spectral Concentration of One-dimensional Schrödinger Operators

139

(12)

Johanna Michor and Gerald Teschl

Reconstructing Jacobi Matrices from Three Spectra

151

(4)

Andrey S. Osipov

On Some Asymptotic Properties of Solutions for a Particular Class of Finite Difference Equations

155

(8)

Boris Pavlov

A Remark on Spectral Meaning of the Symmetric Functional Model

163

(16)

Roman Romanov

A Remark on Equivalence of Weak and Strong Definitions of the Absolutely Continuous Subspace for Nonself-adjoint Operators

179

(6)

Alexei Rybkin

On a Transformation of the Sturm-Liouville Equation with Slowly Decaying Potentials and the Titchmarsh-Weyl m-function

185

(18)

Luis O. Silva

Uniform Levinson Type Theorems for Discrete Linear Systems

203

(16)

Alexey Tikhonov

Free Functional Model Related to Simply-connected Domains

219

(14)

Marcin J. Zygmunt

Jacobi Block Matrices with Constant Matrix Terms

233

(6)

List of Lecture Titles

239

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Spectral Methods For Operators Of Mathematical Physics

Summary

Table of Contents

Supplemental Materials