Spectral Methods for Operators of Mathematical Physics
Published on 25. October 2004
Book
Hardback
VIII, 244 pages
978-3-7643-7133-3 (ISBN)
Description
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.
More details
Series
Edition
2004 ed.
Language
English
Place of publication
Basel
Switzerland
Publishing group
Springer Basel
Target group
Professional and scholarly
Research
Illustrations
VIII, 244 p.
Dimensions
Height: 241 mm
Width: 160 mm
Thickness: 20 mm
Weight
553 gr
ISBN-13
978-3-7643-7133-3 (9783764371333)
DOI
10.1007/978-3-0348-7947-7
Schweitzer Classification
Other editions
Additional editions
Jan Janas | Pavel Kurasov | Sergei Naboko
Spectral Methods for Operators of Mathematical Physics
Book
10/2012
Birkhäuser
€160.49
Shipment within 10-15 days
Content
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 Schrödinger 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.