Toeplitz Matrices and Operators (Hardcover)

1. Why Toeplitz?Hankel? Motivations and panorama; 2. Hankel and Toeplitz ? brother 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; Notation; Index.