Real-Variable Methods in Harmonic (Dover Books on Mathematics)
Language: English
Published by Dover Publications Inc. 2004-04-30, 2004
- Softcover
- New
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- Title
- Real-Variable Methods in Harmonic (Dover Books on Mathematics)
- Author
- Alberto Torchinsky
- Publisher
- Dover Publications Inc. 2004-04-30
- Publication year
- 2004
- Condition
- New
- Binding
- Paperback
- Language
- English
- ISBN 10
- 0486435083
- ISBN 13
- 9780486435084
"A very good choice." — MathSciNet, American Mathematical Society
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.
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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Chiron Media
Wallingford, United Kingdom
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