Real-Variable Methods in Harmonic Analysis (Dover Books on Mathematics)

Torchinsky, Alberto

ISBN 10: 0486435083 / ISBN 13: 9780486435084

Published by Dover Publications, 2004

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Bibliographic Details

• Title: Real-Variable Methods in Harmonic Analysis (Dover Books on Mathematics)
• Publisher: Dover Publications
• Publication Date: 2004
• Language: English
• ISBN 10: 0486435083
• ISBN 13: 9780486435084
• Binding: paperback
• Condition: Good

About this title

Synopsis

"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.