Spectral Methods for Operators of Mathematical Physics: 154 - Brossura

Brossura

ISBN 10: 3034896328 ISBN 13: 9783034896320

Casa editrice: Birkhäuser, 2012

Riassunto

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.

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Contenuti

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.

Dettagli dell?edizione

• Editore: Birkhäuser
• Data di pubblicazione: 2012
• Lingua: Inglese
• ISBN 10: 3034896328
• ISBN 13: 9783034896320
• Rilegatura: Copertina flessibile
• Numero di pagine: 256
• Redattore: Janas Jan, Kurasov Pavel, Naboko Sergei
• Contatto del produttore: non disponibile
• Persona responsabile: Springer Nature Customer Service Center GmbH; ProductSafety@springernature.com; ; Europaplatz 3,69115 Heidelberg, Germany; Heidelberg; 69115; Germania