Real-Variable Methods in Harmonic Analysis (Dover Books on Mathematics)
Language: English
Published by Dover Publications, 2004
- Softcover
- New

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- Title
- Real-Variable Methods in Harmonic Analysis (Dover Books on Mathematics)
- Author
- Torchinsky, Alberto
- Publisher
- Dover Publications
- Publication year
- 2004
- Condition
- New
- Binding
- PAPERBACK
- Language
- English
- ISBN 10
- 0486435083
- ISBN 13
- 9780486435084
An exploration of the unity of several areas in harmonic analysis, this self-contained text emphasizes real-variable methods. Appropriate for advanced undergraduate and graduate students, it starts with classical Fourier series and discusses summability, norm convergence, and conjugate function. An examination of the Hardy-Littlewood maximal function and the Calderón-Zygmund decomposition is followed by explorations of the Hilbert transform and properties of harmonic functions. Additional topics include the Littlewood-Paley theory, good lambda inequalities, atomic decomposition of Hardy spaces, Carleson measures, Cauchy integrals on Lipschitz curves, and boundary value problems. 1986 edition.
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