Recent Advances in Operator Theory and Its Applications

1. Front Matter

   Pages i-viii

   PDF

2. Inverse Scattering with Rational Scattering Coefficients and Wave Propagation in Nonhomogeneous Media

   • Tuncay Aktosun, Michael H. Borkowski, Alyssa J. Cramer, Lance C. Pittman

   Pages 1-20

3. Aluthge Transforms and the Convex Hull of the Spectrum of a Hilbert Space Operator

   • Tsuyoshi Ando

   Pages 21-39

4. Maximal Nevanlinna-Pick Interpolation for Points in the Open Unit Disc

   • W. Bhosri, A.E. Frazho, B. Yagci

   Pages 41-52

5. On the Numerical Solution of a Nonlinear Integral Equation of Prandtl’s Type

   • M.R. Capobianco, G. Criscuolo, P. Junghanns

   Pages 53-79

6. Fourier Integral Operators and Gelfand-Shilov Spaces

   • Marco Cappiello

   Pages 81-100

7. Strongly Regular J-inner Matrix-valued Functions and Inverse Problems for Canonical Systems

   • Damir Z. Arov, Harry Dym

   Pages 101-160

8. Regularization Processes for Real Functions and Ill-posed Toeplitz Problems

   • Claudio Estatico

   Pages 161-178

9. Minimal State-space Realization for a Class of nD Systems

   • K. Galkowski

   Pages 179-194

10. Continuity in Weighted Besov Spaces for Pseudodifferential Operators with Non-regular Symbols

    • Gianluca Garello, Alessandro Morando

    Pages 195-216

11. A New Proof of an Ellis-Gohberg Theorem on Orthogonal Matrix Functions Related to the Nehari Problem

    • G.J. Groenewald, M.A. Kaashoek

    Pages 217-232

12. Schur-type Algorithms for the Solution of Hermitian Toeplitz Systems via Factorization

    • Georg Heinig, Karla Rost

    Pages 233-252

13. Almost Pontryagin Spaces

    • M. Kaltenbäck, H. Winkler, H. Woracek

    Pages 253-271

14. Multivariable ρ-contractions

    • Dmitry S. Kalyuzhnyi-Verbovetzkii

    Pages 273-298

15. The Singularly Continuous Spectrum and Non-Closed Invariant Subspaces

    • Vadim Kostrykin, Konstantin A. Makarov

    Pages 299-309

16. Numerical Methods for Cauchy Singular Integral Equations in Spaces of Weighted Continuous Functions

    • G. Mastroianni, M.G. Russo, W. Themistoclakis

    Pages 311-336

17. On a Gevrey-Nonsolvable Partial Differential Operator

    • Alessandro Oliaro

    Pages 337-356

18. Optimal Prediction of Generalized Stationary Processes

    • Vadim Olshevsky, Lev Sakhnovich

    Pages 357-366

19. Symmetries of 2D Discrete-Time Linear Systems

    • Paula Rocha, Paolo Vettori, Jan C. Willems

    Pages 367-382

20. An Algorithm for Solving Toeplitz Systems by Embedding in Infinite Systems

    • G. Rodriguez, S. Seatzu, D. Theis

    Pages 383-401

Thisvolumecontainsaselectionofpapersinmodernoperatortheoryanditsapp- cations. Most of them are directly related to lectures presented at the Fourteenth International Workshop on Operator Theory and its Applications (IWOTA 2003) held at the University of Cagliari, Italy, in the period of June 24–27, 2003. The workshop, which was attended by 108 mathematicians – including a number of PhD and postdoctoral students – from 22 countries, presented eight special sessions on 1) control theory, 2) interpolation theory, 3) inverse scattering, 4) numerical estimates for operators, 5) numerical treatment of integral equations, 6) pseudodi?erential operators, 7) realizations and transformations of analytic functions and inde?nite inner product spaces, and 8) structured matrices. The program consisted of 19 plenary lectures of 45 minutes and 78 lectures of 30 minutes in four parallel sessions. The present volume re?ects the wide range and rich variety of topics p- sentedanddiscussedattheworkshop,bothwithinandoutsidethespecialsessions. The papers deal with inverse scattering, numerical ranges, pseudodi?erential - erators, numerical analysis, interpolation theory, multidimensional system theory, inde?nite inner products, spectral factorization, and stationary processes. SinceintheperiodthattheproceedingsofIWOTA2003werebeingprepared, Israel Gohberg, the president of the IWOTA steering committee, reached the age of 75, we decided to dedicate these proceedings to Israel Gohberg on the occasion of his 75th birthday. All of the authors of these proceedingshavejoined the editors and dedicated their papers to him as well.

• Differential operator
• Fourier analysis
• Functional analysis
• Hilbert space
• Maximum
• Minimum
• Numerical analysis
• Operator theory
• Scattering theory
• Singular integral
• Toeplitz operator
• differential equation
• numerical methods

• School of Mathematical Sciences, Tel Aviv University, Ramat Aviv, Israel

  Israel Gohberg

• Beer-Sheva

  D. Alpay, P. A. Fuhrmann

• Haifa

  J. Arazy, L. E. Lerer

• Tel Aviv

  A. Atzmon, A. Ben-Artzi

• Blacksburg

  J. A. Ball

• Bloomington

  H. Bercovici

• Chemnitz

  A. Böttcher, G. Heinig

• Athens, USA

  K. Clancey

• Buffalo

  L. A. Coburn

• Waterloo

  K. R. Davidson

• College Station

  R. G. Douglas

• Groningen

  A. Dijksma

• Rehovot

  H. Dym

• Mainz

  B. Gramsch

• La Jolla

  J. A. Helton

• Amsterdam

  M. A. Kaashoek

• Argonne

  H. G. Kaper

• Tokyo

  S. T. Kuroda

• Calgary

  P. Lancaster

• Columbus

  B. Mityagin

• Manhattan

  V. V. Peller

• Williamsburg

  L. Rodman, I. M. Spitkovsky

• Charlottesville

  J. Rovnyak

• Berkeley

  D. E. Sarason, D. Voiculescu

• Providence

  S. Treil

• Marburg

  H. Upmeier

• Leiden

  S. M. Verduyn Lunel

• Santa Cruz

  H. Widom

• Nashville

  D. Xia

• Rennes

  D. Yafaev

• Department of Mathematics, FEW Vrije Universiteit, Amsterdam, The Netherlands

  Marinus A. Kaashoek

• Dipartimento di Matematica, Università di Cagliari, Cagliari, Italy

  Sebastiano Seatzu, Cornelis Mee

Policies and ethics