Spectral methods for operators of mathematical physics
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Bibliographic Information
Spectral methods for operators of mathematical physics
（Operator theory : advances and applications, v. 154）
Birkhäuser Verlag, c2004
- : alk. paper
Available at / 17 libraries
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
: alk. paperDC22:530.15/J2512080017901
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2000 Mathematics Subject Classification: 47-06; 47A10, 47A45, 47A75, 47B25, 47B39
Includes bibliographical references and index
Description and Table of Contents
Description
This book presents recent results in the following areas: spectral analysis of one-dimensional Schroedinger and Jacobi operators, discrete WKB analysis of solutions of second order difference equations, and applications of functional models of non-selfadjoint operators. Several developments treated appear for the first time in a book. It is addressed to a wide group of specialists working in operator theory or mathematical physics.
Table of Contents
Partial Non-stationary Perturbation Determinants.- Noncommuting Domination.- The Problem of the Finiteness of the Point Spectrum for Self-adjoint Operators. Perturbations of Wiener-Hopf Operators and Applications to Jacobi Matrices.- Singular Perturbations as Range Perturbations in a Pontryagin Space.- Minimal Realizations of Scalar Generalized Nevanlinna Functions Related to Their Basic Factorization.- Eigenvalues and Spectral Gaps Related to Periodic Perturbations of Jacobi Matrices.- WKB and Turning Point Theory for Second-order Difference Equations.- Bounds for the Points of Spectral Concentration of One-dimensional Schroedinger Operators.- Reconstructing Jacobi Matrices from Three Spectra.- On Some Asymptotic Properties of Solutions for a Particular Class of Finite Difference Equations.- A Remark on Spectral Meaning of the Symmetric Functional Model.- A Remark on Equivalence of Weak and Strong Definitions of the Absolutely Continuous Subspace for Nonself-adjoint Operators.- On a Transformation of the Sturm-Liouville Equation with Slowly Decaying Potentials and the Titchmarsh-Weyl m-function.- Uniform Levinson Type Theorems for Discrete Linear Systems.- Free Functional Model Related to Simply-connected Domains.- Jacobi Block Matrices with Constant Matrix Terms.- List of Lecture Titles.
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