Spectral Methods for Operators of Mathematical Physics

Jan Janas, Pavel Kurasov, Sergei Naboko (Herausgeber)

Buch | Hardcover

VIII, 244 Seiten

2004 | 2004
Springer Basel (Verlag)
978-3-7643-7133-3 (ISBN)

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This book presents recent results in 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. 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.

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.

Erscheint lt. Verlag	25.10.2004
Reihe/Serie	Operator Theory: Advances and Applications
Zusatzinfo	VIII, 244 p.
Verlagsort	Basel
Sprache	englisch
Maße	155 x 235 mm
Gewicht	605 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Themenwelt	Naturwissenschaften ► Physik / Astronomie ► Allgemeines / Lexika
Schlagworte	Jacobi matrix • Mathematical Physics • Operatoren • operator theory • Orthogonal polynomial • perturbation theory • Potential • Schrödinger operator • spectral theory
ISBN-10	3-7643-7133-1 / 3764371331
ISBN-13	978-3-7643-7133-3 / 9783764371333
Zustand	Neuware