Book contents
- Frontmatter
- Dedication
- Contents
- Preface
- Acknowledgements
- Other
- Figures
- 1 Why Toeplitz–Hankel? Motivations and Panorama
- 2 Hankel and Toeplitz: Sibling Operators on the Space H2
- 3 H2 Theory of Toeplitz Operators
- 4 Applications: Riemann–Hilbert, Wiener–Hopf, Singular Integral Operators (SIO)
- 5 Toeplitz Matrices: Moments, Spectra, Asymptotics
- Appendix A Key Notions of Banach Spaces
- Appendix B Key Notions of Hilbert Spaces
- Appendix C An Overview of Banach Algebras
- Appendix D Linear Operators
- Appendix E Fredholm Operators and the Noether Index
- Appendix F A Brief Overview of Hardy Spaces
- References
- Backmatter
- Index
4 - Applications: Riemann–Hilbert, Wiener–Hopf, Singular Integral Operators (SIO)
Published online by Cambridge University Press: 06 December 2019
- Frontmatter
- Dedication
- Contents
- Preface
- Acknowledgements
- Other
- Figures
- 1 Why Toeplitz–Hankel? Motivations and Panorama
- 2 Hankel and Toeplitz: Sibling Operators on the Space H2
- 3 H2 Theory of Toeplitz Operators
- 4 Applications: Riemann–Hilbert, Wiener–Hopf, Singular Integral Operators (SIO)
- 5 Toeplitz Matrices: Moments, Spectra, Asymptotics
- Appendix A Key Notions of Banach Spaces
- Appendix B Key Notions of Hilbert Spaces
- Appendix C An Overview of Banach Algebras
- Appendix D Linear Operators
- Appendix E Fredholm Operators and the Noether Index
- Appendix F A Brief Overview of Hardy Spaces
- References
- Backmatter
- Index
Summary
Riemann–Hilbert problem, Hilbert transform on T and ℝ.
Lebesgue points, Sokhotsky–Plemelj formulas.
Wiener–Hopf operators.
Singular integral equations, finite difference equations, Laguerre functions and polynomials, Wiener–Hopf operators on an interval.
Systems of equations and matricial Wiener–Hopf operators, Hankel operators on L2(ℝ+).
- Type
- Chapter
- Information
- Toeplitz Matrices and Operators , pp. 178 - 229Publisher: Cambridge University PressPrint publication year: 2020