The Diversity and Beauty of Applied Operator Theory

1. Front Matter

   Pages i-xv

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2. Standard versus strict Bounded Real Lemma with infinite-dimensional state space II: The storage function approach

   • J. A. Ball, G. J. Groenewald, S. ter Horst

   Pages 1-50

3. Eigenvalues of even very nice Toeplitz matrices can be unexpectedly erratic

   • Mauricio Barrera, Albrecht Böttcher, Sergei M. Grudsky, Egor A. Maximenko

   Pages 51-77

4. Spectral regularity of a C^*-algebra generated by two-dimensional singular integral operators

   • Harm Bart, Torsten Ehrhardt, Bernd Silbermann

   Pages 79-88

5. A spectral shift function for Schröodinger operators with singular interactions

   • Jussi Behrndt, Fritz Gesztesy, Shu Nakamura

   Pages 89-110

6. Quantum graph with the Dirac operator and resonance states completeness

   • Irina V. Blinova, Igor Y. Popov

   Pages 111-124

7. Robert Sheckley’s Answerer for two orthogonal projections

   • Albrecht Böttcher, Ilya M. Spitkovsky

   Pages 125-138

8. Toeplitz kernels and model spaces

   • M. Cristina Câamara, Jonathan R. Partington

   Pages 139-153

9. Frames, operator representations, and open problems

   • Ole Christensen, Marzieh Hasannasab

   Pages 155-165

10. A survey on solvable sesquilinear forms

    • Rosario Corso

    Pages 167-177

11. An application of limiting interpolation to Fourier series theory

    • Leo R. Ya. Doktorski

    Pages 179-191

12. Isomorphisms of AC(σ) spaces for countable sets

    • Ian Doust, Shaymaa Al-shakarchi

    Pages 193-206

13. Restricted inversion of split-Bezoutians

    • Torsten Ehrhardt, Karla Rost

    Pages 207-246

14. Generalized backward shift operators on the ring ℤ[[x]], Cramer’s rule for infinite linear systems, and p-adic integers

    • Sergey Gefter, Anna Goncharuk

    Pages 247-259

15. Feynman path integral regularization using Fourier Integral Operator ζ-functions

    • Tobias Hartung

    Pages 261-289

16. Improving Monte Carlo integration by symmetrization

    • Tobias Hartung, Karl Jansen, Hernan Leövey, Julia Volmer

    Pages 291-317

17. More on the density of analytic polynomials in abstract Hardy spaces

    • Alexei Karlovich, Eugene Shargorodsky

    Pages 319-329

18. Pseudodifferential operators with compound non-regular symbols

    • Yuri I. Karlovich

    Pages 331-353

19. Asymptotically sharp inequalities for polynomials involving mixed Hermite norms

    • Holger Langenau

    Pages 355-366

20. A two-parameter eigenvalue problem for a class of block-operator matrices

    • Michael Levitin, Hasen Mekki Öztürk

    Pages 367-380

This book presents 29 invited articles written by participants of the International Workshop on Operator Theory and its Applications held in Chemnitz in 2017. The contributions include both expository essays and original research papers illustrating the diversity and beauty of insights gained by applying operator theory to concrete problems. The topics range from control theory, frame theory, Toeplitz and singular integral operators,  Schrödinger, Dirac, and Kortweg-de Vries operators,  Fourier integral operator zeta-functions, C*-algebras and Hilbert C*-modules to questions from harmonic analysis, Monte Carlo integration, Fibonacci Hamiltonians, and many more.

The book offers researchers in operator theory open problems from applications that might stimulate their work and shows those from various applied fields, such as physics, engineering, or numerical mathematics how to use the potential of operator theory to tackle interesting practical problems.

• control
• frames
• differential equations
• pseudodifferential operators
• harmonic analysis
• matrix theory

  

• Fakultät für Mathematik, TU Chemnitz, Chemnitz, Germany

  Albrecht Böttcher, Daniel Potts, Peter Stollmann, David Wenzel

  

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