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Current Trends in Operator Theory and its Applications

  • Conference proceedings
  • © 2004

Overview

Editors:
  1. Joseph A. Ball

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

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  2. J. William Helton

    1. Department of Mathematics, University of California, La Jolla, USA

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    You can also search for this editor in PubMed   Google Scholar

  3. Martin Klaus

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

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  4. Leiba Rodman

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

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  • Most recent achievements and future directions of research in the area of operator theory and its diverse applications
  • Proceedings of the IWOTA 2002 workshop at Virginia Tech, reflecting lectures, talks, and discussions

Part of the book series: Operator Theory: Advances and Applications (OT, volume 149)

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Table of contents (27 papers)

  1. Front Matter

    Pages i-xxii
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  2. Inverse Scattering Transform, KdV, and Solitons

    • Tuncay Aktosun
    Pages 1-22

  3. The Schur Algorithm for Generalized Schur Functions IV: Unitary Realizations

    • D. Alpay, T. Ya. Azizov, A. Dijksma, H. Langer, G. Wanjala
    Pages 23-45

  4. Linear Systems with Schrödinger Operators and Their Transfer Functions

    • Yu. Arlinskii, E. Tsekanovskiĭ
    Pages 47-77

  5. Strongly Regular J-Inner Matrix Functions and Related Problems

    • Damir Z. Arov, Dym Harry
    Pages 79-106

  6. Boundary Interpolation for Contractive-valued Functions on Circular Domains in Cn

    • Joseph A. Ball, Vladimir Bolotnikov
    Pages 107-132

  7. On Realizations of Rational Matrix Functions of Several Variables III

    • M. F. Bessmertnyĭ
    Pages 133-138

  8. Operator-valued Extension of the Theorem of Helson and Szegö

    • Ramón Bruzual, Marisela Domínguez
    Pages 139-152

  9. On Super-wavelets

    • Q. Gu, X. Dai, Y. Diao
    Pages 153-165

  10. Fast Algorithms for Toeplitz Least Squares Problems

    • Georg Heinig
    Pages 167-197

  11. Admissibility of Control and Observation Operators for Semigroups: A Survey

    • Birgit Jacob, Jonathan R. Partington
    Pages 199-221

  12. Closed Subspaces which are Attractors for Representations of the Cuntz Algebras

    • Palle E. T. Jorgensen
    Pages 223-253

  13. On the Bessmertnyĭ Class of Homogeneous Positive Holomorphic Functions of Several Variables

    • Dmitry S. Kalyuzhnyĭ-Verbovetzkiĭ
    Pages 255-289

  14. Rational Solutions of the Schlesinger System and Isoprincipal Deformations of Rational Matrix Functions I

    • V. Katsnelson, D. Volok
    Pages 291-348

  15. A Generalization of the tan 2Θ Theorem

    • Vadim Kostrykin, Konstantin A. Makarov, Alexander K. Motovilov
    Pages 349-372

  16. Partly Free Algebras From Directed Graphs

    • David W. Kribs, Stephen C. Power
    Pages 373-385

  17. Uniform Approximation by Solutions of Elliptic Equations and Seminormality in Higher Dimensions

    • Mircea Martin
    Pages 387-406

  18. Direct and Inverse Scattering for Skewselfadjoint Hamiltonian Systems

    • Cornelis van der Mee
    Pages 407-439

  19. Factorization of Block Triangular Matrix Functions in Wiener Algebras on Ordered Abelian Groups

    • Cornelis V. M. van der Mee, Leiba Rodman, Ilya M. Spitkovsky, Hugo J. Woerdeman
    Pages 441-465

  20. Semidefinite Invariant Subspaces: Degenerate Inner Products

    • Christian Mehl, André C. M. Ran, Leiba Rodman
    Pages 467-486
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About this book

Many developments on the cutting edge of research in operator theory and its applications are reflected in this collection of original and review articles. Particular emphasis lies on highlighting the interplay between operator theory and applications from other areas, such as multi-dimensional systems and function theory of several complex variables, distributed parameter systems and control theory, mathematical physics, wavelets, and numerical analysis.

Editors and Affiliations

  • Department of Mathematics, Virginia Tech, Blacksburg, USA

    Joseph A. Ball, Martin Klaus

  • Department of Mathematics, University of California, La Jolla, USA

    J. William Helton

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

    Leiba Rodman

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