Ball J.A., Bolotnikov V., Helton J.W., Rodman L., Spitakovsky I.M. (Eds.) Topics in Operator Theory. Volume 2: Systems and Mathematical Physics

Birkhäuser, Springer, 2010. — 447 p. — (Operator Theory: Advances and Applications 203). — ISBN: 978-3-0346-0160-3.This is the second volume of 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.Exact Solutions to the Nonlinear Schrödinger Equation
Robust Control, Multidimensional Systems and Multivariable Nevanlinna-Pick Interpolation
Absence of Existence and Uniqueness for Forward-backward Parabolic Equations on a Half-line
Bounds for Eigenvalues of the p-Laplacian with Weight Function of Bounded Variation
The Gelfand-Levitan Theory for Strings
On the Uniqueness of a Solution to Anisotropic Maxwell’s Equations
Dichotomy and Boundedness of Solutions for Some Discrete Cauchy Problems Constantin Buşe and Akbar Zada
Control Laws for Discrete Linear Repetitive Processes with Smoothed Previous Pass Dynamics
Fourier Method for One-dimensional Schrödinger Operators with Singular Periodic Potentials
Additive Invariants on Quantum Channels and Regularized Minimum Entropy
A Functional Model, Eigenvalues, and Finite Singular Critical Points for Indefinite Sturm-Liouville Operators
On the Eigenvalues of the Lax Operator for the Matrix-valued AKNS System
An Extension Theorem for Bounded Forms Defined in Relaxed Discrete Algebraic Scattering Systems and the Relaxed Commutant Lifting Theorem
Deconstructing Dirac operators. III: Dirac and semi-Dirac pairs
Mapping Properties of Layer Potentials Associated with Higher-Order Elliptic Operators in Lipschitz Domains
Applications of a Numerical Spectral Expansion Method to Problems in Physics; a Retrospective
Regularized Perturbation Determinants and KdV Conservation Laws for Irregular Initial Profiles