Topics in Operator Theory: Volume 2: Systems and Mathematical Physics

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Joseph A. Ball, Vladimir Bolotnikov, J. William Helton, Leiba Rodman, Ilya M. Spitkovsky
Springer Science & Business Media, Feb 3, 2011 - Mathematics - 446 pages
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This is a collection of original and review articles on recent advances and new directions in a multifaceted and interconnected area of mathematics and its applications. It encompasses many topics in theoretical developments in operator theory and its diverse applications in applied mathematics, physics, engineering, and other disciplines. The purpose is to bring in one volume many important original results of cutting edge research as well as authoritative review of recent achievements, challenges, and future directions in the area of operator theory and its applications. The intended audience are mathematicians, physicists, electrical engineers in academia and industry, researchers and graduate students, that use methods of operator theory and related fields of mathematics, such as matrix theory, functional analysis, differential and difference equations, in their work.
 

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Contents

Exact Solutions to the Nonlinear Schrodinger Equation
1
Robust Control Multidimensional Systems and Multivariable NevanlinnaPick Interpolation
13
Absence of Existence and Uniqueness for Forwardbackward Parabolic Equations on a Halfline
89
Bounds for Eigenvalues of the pLaplacian with Weight Function of Bounded Variation
99
The GelfandLevitan Theory for Strings
114
On the Uniqueness of a Solution to Anisotropic Maxwells Equations
137
Dichotomy and Boundedness of Solutions for Some Discrete Cauchy Problems
165
Control Laws for Discrete Linear Repetitive Processes with Smoothed Previous Pass Dynamics
175
Additive Invariants on Quantum Channels and Regularized Minimum Entropy
237
A Functional Model Eigenvalues and Finite Singular Critical Points for Indefinite SturmLiouville Operators
246
On the Eigenvalues of the Lax Operator for the Matrixvalued AKNS System
289
An Extension Theorem for Bounded Forms Defined in Relaxed Discrete Algebraic Scattering Systems and the Relaxed Commutant Lifting Theorem
324
Dirac and SemiDirac Pairs
347
Mapping Properties of Layer Potentials Associated with Higherorder Elliptic Operators in Lipschitz Domains
363
Applications of a Numerical Spectral Expansion Method to Problems in Physics a Retrospective
408
Regularized Perturbation Determinants and KdV Conservation Laws for Irregular Initial Profiles
427

Fourier Method for Onedimensional Schrodinger Operators with Singular Periodic Potentials
195

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