Hardy spaces
Author(s)
Bibliographic Information
Hardy spaces
（Cambridge studies in advanced mathematics, 179）
Cambridge University Press, 2019
- : hardback
- Other Title
-
Espaces de Hardy
Available at / 26 libraries
-
No Libraries matched.
- Remove all filters.
Note
Translation of: Espaces de Hardy. (Élements d'analyse avancée ; 1)
Includes bibliographical references (p. 259-267) and index
Description and Table of Contents
Description
The theory of Hardy spaces is a cornerstone of modern analysis. It combines techniques from functional analysis, the theory of analytic functions and Lesbesgue integration to create a powerful tool for many applications, pure and applied, from signal processing and Fourier analysis to maximum modulus principles and the Riemann zeta function. This book, aimed at beginning graduate students, introduces and develops the classical results on Hardy spaces and applies them to fundamental concrete problems in analysis. The results are illustrated with numerous solved exercises that also introduce subsidiary topics and recent developments. The reader's understanding of the current state of the field, as well as its history, are further aided by engaging accounts of important contributors and by the surveys of recent advances (with commented reference lists) that end each chapter. Such broad coverage makes this book the ideal source on Hardy spaces.
Table of Contents
- 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.
by "Nielsen BookData"