Nikolaï Nikolski is Professor Emeritus at the Université de Bordeaux, working primarily in analysis and operator theory. He has been co-editor of four international journals, editor of more than fifteen books, and published numerous articles and research monographs. He has also supervised twenty-six Ph.D. students, including three Salem Prize winners. Professor Nikolski was elected Fellow of the American Mathematical Society (AMS) in 2013 and received the Prix Ampère of the French Academy of Sciences in 2010.
Inhaltsangabe
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.
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.
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