This book presents recent results in the following areas: spectral analysis of one-dimensional Schrodinger 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.
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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.
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Springer Book Archives
Springer Book Archives
Emphasis on the discrete version of the WKB method and applications of functional models for non-selfadjoint operators Several developments treated appear for the first time in a book
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Produktdetaljer
ISBN
9783034896320
Publisert
2012-10-24
Utgiver
Vendor
Birkhauser Verlag AG
Høyde
235 mm
Bredde
155 mm
Aldersnivå
Research, P, 06
Språk
Product language
Engelsk
Format
Product format
Heftet