Toeplitz Matrices and Operators

; Daniele Gibbons (Oversetter) ; Greg Gibbons (Oversetter)

A friendly introduction to Toeplitz theory and its applications throughout modern functional analysis. Les mer
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Legg i
Vår pris: 1013,-

(Innbundet) Fri frakt!
Leveringstid: Sendes innen 21 dager

Om boka

A friendly introduction to Toeplitz theory and its applications throughout modern functional analysis.

Fakta

Innholdsfortegnelse

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.

Om forfatteren

Nikolai Nikolski is Professor Emeritus at the Universite 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 Ampere of the French Academy of Sciences in 2010.