Alberto Torchinsky
Real-Variable Methods in Harmonic Analysis
- ISBN 13:
- 9780486435084
- author:
- Alberto Torchinsky
- format:
- Paperback
- publisher:
- Dover Publications
- language:
- English
- Publication Year:
- 2004
- Pages:
- 480
- Dimensions:
- 5.30 (w) x 8.40 (h) x 1.00 (d)
- Genre:
- Mathematical Analysis - General & Miscellaneous
- Condition:
- New
- Availability:
- Item usually sent within 7 working days
Description
Real-variable Methods in Harmonic Analysis by Alberto Torchinsky provides an in-depth exploration of harmonic analysis through real-variable methods. This self-contained text begins with classical Fourier series and progresses to discuss summability, norm convergence, and conjugate function. The book examines key concepts such as the Hardy-Littlewood maximal function, Calderón-Zygmund decomposition, Hilbert transform, properties of harmonic functions, Littlewood-Paley theory, good lambda inequalities, atomic decomposition of Hardy spaces, Carleson measures, Cauchy integrals on Lipschitz curves, and boundary value problems. Suitable for advanced undergraduate and graduate students, this comprehensive text offers a unified approach to several areas in harmonic analysis.
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