Hardy Spaces
-10%
portes grátis
Hardy Spaces
Gibbons, Daniele; Gibbons, Greg; Nikolski, Nikolai
Cambridge University Press
01/2019
294
Dura
Inglês
9781107184541
15 a 20 dias
540
Descrição não disponível.
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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Hardy spaces H^p; Shift invariant subspaces; Riesz-Smirnov canonical factorization; Theory of inner-outer functions;Hilbert and Hardy inequalities; Kolmogorov weak type inequality; Weighted boundedness of the Hilbert transform; Generalized maximum and Phragmen-Lindelof principles; Regularity of stationary processes and Hankel operators; Bases of exponentials; Basis and unconditional basis constants; Filtering theory and Hardy spaces; Riemann hypothesis; Hardy space approach; Bohr transform and Hilbert multidisc; Completeness of dilated functions
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.
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
Hardy spaces H^p; Shift invariant subspaces; Riesz-Smirnov canonical factorization; Theory of inner-outer functions;Hilbert and Hardy inequalities; Kolmogorov weak type inequality; Weighted boundedness of the Hilbert transform; Generalized maximum and Phragmen-Lindelof principles; Regularity of stationary processes and Hankel operators; Bases of exponentials; Basis and unconditional basis constants; Filtering theory and Hardy spaces; Riemann hypothesis; Hardy space approach; Bohr transform and Hilbert multidisc; Completeness of dilated functions
