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Topics in Operator Theory

Volume 2: Systems and Mathematical Physics

  • Conference proceedings
  • © 2010

Overview

Editors:
  1. Joseph A. Ball

    1. Department of Mathematics, Virginia Tech, Blacksburg, USA

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  2. Vladimir Bolotnikov

    1. Department of Mathematics, College of William and Mary, Williamsburg, USA

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  3. Leiba Rodman

    1. Department of Mathematics, College of William and Mary, Williamsburg, USA

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  4. Ilya M. Spitkovsky

    1. Department of Mathematics, College of William and Mary, Williamsburg, USA

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  5. J. William Helton

    1. Department of Mathematics, University of California San Diego, La Jolla

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  • Cutting edge results
  • Authoritative reviews
  • Challenges and directions for future research
  • Includes supplementary material: sn.pub/extras

Part of the book series: Operator Theory: Advances and Applications (OT, volume 203)

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Table of contents (17 papers)

  1. Front Matter

    Pages i-ix
    Download chapter PDF

  2. Exact Solutions to the Nonlinear Schrödinger Equation

    • Tuncay Aktosun, Theresa Busse, Francesco Demontis, Cornelis van der Mee, Tuncay Aktosun, Theresa Busse et al.
    Pages 1-12

  3. Robust Control, Multidimensional Systems and Multivariable Nevanlinna-Pick Interpolation

    • Joseph A. Ball, Sanne ter Horst, Sanne ter Horst
    Pages 13-88

  4. Absence of Existence and Uniqueness for Forward-backward Parabolic Equations on a Half-line

    • P. Binding, I.M. Karabash
    Pages 89-98

  5. Bounds for Eigenvalues of the p-Laplacian with Weight Function of Bounded Variation

    • P. A. Binding, H. Volkmer
    Pages 99-113

  6. The Gelfand-Levitan Theory for Strings

    • Amin Boumenir
    Pages 115-136

  7. On the Uniqueness of a Solution to Anisotropic Maxwell’s Equations

    • T. Buchukuri, R. Duduchava, D. Kapanadze, D. Natroshvili
    Pages 137-164

  8. Dichotomy and Boundedness of Solutions for Some Discrete Cauchy Problems Constantin Buşe and Akbar Zada

    • Constantin Buşe, Akbar Zada
    Pages 165-174

  9. Control Laws for Discrete Linear Repetitive Processes with Smoothed Previous Pass Dynamics

    • Błażej Cichy, Krzysztof Gałkowski, Eric Rogers
    Pages 175-193

  10. Fourier Method for One-dimensional Schrödinger Operators with Singular Periodic Potentials

    • Plamen Djakov, Boris Mityagin
    Pages 195-236

  11. Additive Invariants on Quantum Channels and Regularized Minimum Entropy

    • Shmuel Friedland
    Pages 237-245

  12. A Functional Model, Eigenvalues, and Finite Singular Critical Points for Indefinite Sturm-Liouville Operators

    • I. M. Karabash
    Pages 247-287

  13. On the Eigenvalues of the Lax Operator for the Matrix-valued AKNS System

    • Martin Klaus
    Pages 289-323

  14. 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
    Pages 325-345

  15. Deconstructing Dirac operators. III: Dirac and semi-Dirac pairs

    • Mircea Martin
    Pages 347-362

  16. Mapping Properties of Layer Potentials Associated with Higher-Order Elliptic Operators in Lipschitz Domains

    • Irina Mitrea
    Pages 363-407

  17. Applications of a Numerical Spectral Expansion Method to Problems in Physics; a Retrospective

    • George H. Rawitscher
    Pages 409-426

  18. Regularized Perturbation Determinants and KdV Conservation Laws for Irregular Initial Profiles

    • Alexei Rybkin
    Pages 427-444
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Keywords

About this book

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.

Editors and Affiliations

  • Department of Mathematics, Virginia Tech, Blacksburg, USA

    Joseph A. Ball

  • Department of Mathematics, College of William and Mary, Williamsburg, USA

    Vladimir Bolotnikov, Leiba Rodman, Ilya M. Spitkovsky

  • Department of Mathematics, University of California San Diego, La Jolla

    J. William Helton

Bibliographic Information

  • Book Title: Topics in Operator Theory

  • Book Subtitle: Volume 2: Systems and Mathematical Physics

  • Editors: Joseph A. Ball, Vladimir Bolotnikov, Leiba Rodman, Ilya M. Spitkovsky, J. William Helton

  • Series Title: Operator Theory: Advances and Applications

  • DOI: https://doi.org/10.1007/978-3-0346-0161-0

  • Publisher: Birkhäuser Basel

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Birkhäuser Basel 2010

  • Hardcover ISBN: 978-3-0346-0160-3Published: 19 February 2010

  • eBook ISBN: 978-3-0346-0161-0Published: 03 February 2011

  • Series ISSN: 0255-0156

  • Series E-ISSN: 2296-4878

  • Edition Number: 1

  • Number of Pages: IX, 446

  • Topics: Operator Theory

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