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" Spectral Methods for Operators of Mathematical Physics "
edited by Jan Janas, Pavel Kurasov, Sergei Naboko.
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BL
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577033
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b406252
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| Main Entry
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Janas, Jan.
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| Title & Author
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Spectral Methods for Operators of Mathematical Physics\ edited by Jan Janas, Pavel Kurasov, Sergei Naboko.
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| Publication Statement
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Basel :: Birkhäuser Basel :: Imprint: Birkhäuser,, 2004.
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| Series Statement
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Operator Theory: Advances and Applications ;; 154
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| ISBN
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9783034879477
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: 9783034896320
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| Contents
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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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| Abstract
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This volume contains proceedings of the International Conference: Operator The ory and its Applications in Mathematical Physics - OTAMP 2002 held at Mathe matical Research and Conference Center in Bedlewo near Poznan. The aim of the conference was to gather researches working in close areas of operator theory, analysis and mathematical physics, which is reflected by the titles of scientific sessions - Random and quasiperiodic Schrodinger operators (P. Stollmann and G. Stolz)' - Jacobi matrices and orthogonal polynomials (J.S. Geronimo and W. Van Assche)' - Singular perturbations of self-adjoint operators (W. Karwowski and P. Kurasov). The current volume contains in addition to materials of the lectures given at the conference original research articles, several ones initiated during the conference. Two main entirely connected themes dominate the volume - spectral properties of l-dimensional Schrodinger operators and infinite Jacobi matrices, - theory of self-adjoint and dissipative operators. Contributions devoted to the first theme contain in particular results on the ex istence and finiteness of the point spectrum of Jacobi matrices, bounds for the points of spectral concentration of one-dimensional Schrodinger operators, WKB and turning points for the second order difference equations. The second theme is represented by the articles devoted to partial non-stationary perturbation de terminants, self-adjointness by domination of commutators, symmetric functional models etc.
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Mathematics.
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Operator theory.
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Mathematical physics.
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Kurasov, Pavel.
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Naboko, Sergei.
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SpringerLink (Online service)
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