Spectral Methods for Operators of Mathematical Physics [electronic resource] /
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.
Main Authors: | , , , |
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Format: | Texto biblioteca |
Language: | eng |
Published: |
Basel : Birkhäuser Basel : Imprint: Birkhäuser,
2004
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Subjects: | Physics., Operator theory., Physics, general., Operator Theory., Mathematical Methods in Physics., |
Online Access: | http://dx.doi.org/10.1007/978-3-0348-7947-7 |
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Summary: | 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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