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Non-self-adjoint Schroedinger Operator with a Periodic Potential

This book gives a complete spectral analysis of the non-self-adjoint Schroedinger operator with a periodic complex-valued potential;

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Spectral Analysis Of Differential Operators

periodic Schroedinger operators due to local perturbations of the potential (e.g., modeling impurities in crystals).The book is based on results;

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A User's Guide To Operator Algebras

mathematics as well as allied areas such as single operator theory, non-self-adjoint operator algegras, K-theory, knot theory, ergodic theory, and;

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Spectral Theory And Its Applications

chapters also introduce non self-adjoint operator theory with an emphasis on the role of the pseudospectra. The author's focus on applications;

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Spectral Theory Of Block Operator Matrices And Applications

is placed on classes of block operator matrices to which standard operator theoretical methods do not readily apply: non-self-adjoint block operator;

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Perturbation Theory for Linear Operators

non-self-adjoint operators are discussed with the completeness of the space of generalized eigenvectors, bases on Hilbert and Banach spaces;

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Perturbation Theory for Linear Operators

non-self-adjoint operators are discussed with the completeness of the space of generalized eigenvectors, bases on Hilbert and Banach spaces;

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Spectral Geometry of Partial Differential Operators

, in both self-adjoint and non-self-adjoint operator theory, in a way accessible by anyone with a basic level of understanding of linear;

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Functional Calculi

is based on the spectral theorem for bounded self-adjoint operators on a complex Hilbert space.This book contains an exposition of several such;

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Introduction To Operator Space Theory

systematic exposition of tensor products of C*-algebras. The third (and shorter) part of the book describes applications to non self-adjoint operator;

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Structure Of Hilbert Space Operators

This book exposes the internal structure of non-self-adjoint operators acting on complex separable infinite dimensional Hilbert space, by;

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Introduction to Spectral Theory in Hilbert Space

unbounded self-adjoint operators. Extensive appendixes offer supplemental information on the graph of a linear operator and the Riemann-Stieltjes;

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Extended States for the Schrodinger Operator with Quasi-Periodic Potential in Dimension Two

The authors consider a Schrodinger operator $H=-Delta +V(vec x)$ in dimension two with a quasi-periodic potential $V(vec x)$. They prove;

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Localization In Periodic Potentials

This book provides a comprehensive treatment of the Gross-Pitaevskii equation with a periodic potential; in particular, the localized modes;

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Spectral Theory And Differential Operators

proof of the spectral theorem for unbounded self-adjoint operators is followed by its application to a variety of second-order elliptic;

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Non-Self-Adjoint Differential Operators, Spectral Asymptotics and Random Perturbations

The asymptotic distribution of eigenvalues of self-adjoint differential operators in the high-energy limit, or the semi-classical limit;

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Spectral Theory of Canonical Systems

. 'Spectral Theory of Canonical Systems' offers a selfcontained and detailed introduction to this theory. Techniques to construct self-adjoint;

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Operator Theory

determinants, and the study of unbounded self-adjoint operators. There is also an introduction to the theory of orthogonal polynomials and a long;

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Analysis as a Tool in Mathematical Physics

of Non-self-adjoint Operators. This volume collects research papers originating from two conferences that were organized in memory of Boris;

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Linear Operators And Their Spectra

eigenvalues of non-self-adjoint Schrodinger operators are described. The text concludes with a description of the surprising spectral properties;

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Dilations, Linear Matrix Inequalities, the Matrix Cube Problem and Beta Distributions

to a collection of commuting self-adjoint contraction operators on a Hilbert space.;

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Inverse Spectral Problems for Linear Differential Operators and Their Applications

Aims to construct the inverse problem theory for ordinary non-self-adjoint differential operators of arbitary order on the half-line and on;

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Conservative Realizations of Herglotz-Nevanlinna Functions

applications to the inverse problems for linear systems with non-self-adjoint Schroedinger operators, Jacobi matrices, and to the Nevanlinna-Pick;

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Spectral properties of Schroedinger operators and scattering theory

a potential) which have application to scattering theory. We consider an operator H with potential V of class SR. We show that the positive;

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Hamiltonian Systems with Three or More Degrees of Freedom

A survey of current knowledge about Hamiltonian systems with three or more degrees of freedom and related topics. The Hamiltonian systems;

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Advances in Quantum Mechanics

developments of the specific mathematical tools needed, including: linear and non-linear Schroedinger equations, topological invariants, non;

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Elements of Hilbert Spaces and Operator Theory

of operators, such as normal operators, self-adjoint operators, unitaries, isometries and compact operators have been discussed. A large number;

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