Spectral Methods For Operators Of Mathematical Physics

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

• ISBN13: 9783764371333
• ISBN10: 3764371331
• eBook ISBN(s): 9783034879477
• Format: Hardcover
• Copyright: 2004-10-31
• Publisher: Birkhauser
• More Book Details

Summary

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.

Table of Contents

Introduction	vii
Vadim Adamyan and Heinz Langer
Partial Non-stationary Perturbation Determinants	1	(18)
Dariusz Cichon, Jan Stochel and Franciszek Hugon Szafraniec
Noncommuting Domination	19	(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	35	(16)
Vladimir Derkach, Seppo Hassi and Henk de Snoo
Singular Perturbations as Range Perturbations in a Pontryagin Space	51	(18)
Aad Dijksma, Heinz Langer, Annemarie Luger and Yuri Shondin
Minimal Realizations of Scalar Generalized Nevanlinna Functions Related to Their Basic Factorization	69	(22)
Joanne Dombrowski
Eigenvalues and Spectral Gaps Related to Periodic Perturbations of Jacobi Matrices	91	(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