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

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


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Topics in Operator Theory: Volume 2: Systems and Mathematical Physics by Joseph A. Ball

The present volume is the second of two volumes containing 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 focus in this volume is on systems, differential and difference equations, and mathematical physics.

Product Details

ISBN-13: 9783034601603
Publisher: Birkhäuser Basel
Publication date: 04/08/2010
Series: Operator Theory: Advances and Applications , #203
Edition description: 2010
Pages: 446
Product dimensions: 6.60(w) x 9.20(h) x 1.20(d)

Table of Contents

The X1Xth International Workshop on Operator Theory and its Applications. II J.A. Ball V. Bolotnikov J.W. Helton L. Rodman I.M. Spitkovsky vii

Exact Solutions to the Nonlinear Schrödinger Equation T. Aktosun T. Busse F. Demontis C. van der Mee 1

Robust Control, Multidimensional Systems and Multivariable Nevanlinna-Pick Interpolation J.A. Ball S. ter Horst 13

Absence of Existence and Uniqueness for Forward-backward Parabolic Equations on a Half-line P. Binding I.M. Karabash 89

Bounds for Eigenvalues of the p-Laplacian with Weight Function of Bounded Variation P.A. Binding H. Volkmer 99

The Gelfand-Levitan Theory for Strings A. Boumenir 115

On the Uniqueness of a Solution to Anisotropic Maxwell's Equations T. Buchukuri R. Duduchava D. Kapanadze D. Natroshvili 137

Dichotomy and Boundedness of Solutions for some Discrete Cauchy Problems C. Buşe A. Zada 165

Control Laws for Discrete Linear Repetitive Processes with Smoothed Previous Pass Dynamics B. Cichy K. Galkowski E. Rogers 175

Fourier Method for One-dimensional Schrödinger Operators with Singular Periodic Potentials P. Djakov B. Mityagin 195

Additive Invariants on Quantum Channels and Regularized Minimum Entropy S. Friedland 237

A Functional Model, Eigenvalues, and Finite Singular Critical Points for Indefinite Sturm-Liouville Operators I. M. Karabash 247

On the Eigenvalues of the Lax Operator for the Matrix-valued AKNS System M. Klaus 289

An Extension Theorem for Bounded Forms Defined in Relaxed Discrete Algebraic Scattering Systems and the Relaxed Commutant Lifting Theorem S. A. M. Marcantognini M. D. Morán 325

Deconstructing Dirac Operators. III: Dirac and Semi-Dirac Pairs M. Martin 347

Mapping Properties of Layer Potentials Associated with Higher-order Elliptic Operators in Lipschitz Domains I. Mitrea 363

Applications of a Numerical Spectral Expansion Method to Problems in Physics; a Retrospective G. H. Rawitscher 409

Regularized Perturbation Determinants and KdV Conservation Laws for Irregular Initial Profiles A. Rybkin 427

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