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 and published numerous articles and research monographs. He has also supervised some thirty 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
The origins of the subject 1. The space H^2(T). An archetypal invariant subspace 2. The H^p(D) classes. Canonical factorization and first applications 3. The Smirnov class D and the maximum principle 4. An introduction to weighted Fourier analysis 5. Harmonic analysis and stationary filtering 6. The Riemann hypothesis, dilations, and H^2 in the Hilbert multi-disk Appendix A. Key notions of integration Appendix B. Key notions of complex analysis Appendix C. Key notions of Hilbert spaces Appendix D. Key notions of Banach spaces Appendix E. Key notions of linear operators References Notation Index.
The origins of the subject 1. The space H^2(T). An archetypal invariant subspace 2. The H^p(D) classes. Canonical factorization and first applications 3. The Smirnov class D and the maximum principle 4. An introduction to weighted Fourier analysis 5. Harmonic analysis and stationary filtering 6. The Riemann hypothesis, dilations, and H^2 in the Hilbert multi-disk Appendix A. Key notions of integration Appendix B. Key notions of complex analysis Appendix C. Key notions of Hilbert spaces Appendix D. Key notions of Banach spaces Appendix E. Key notions of linear operators References Notation Index.
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