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Real-Variable Methods in Harmonic Analysis. Pure and Applied Mathematics: A Series of Monographs and Textbooks, Volume 123.

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An exploration of the unity of several areas in harmonic analysis, this text emphasizes real-variable methods. Discusses classical Fourier series, summability, norm convergence, and conjugate function. Examines the Hardy-Littlewood maximal function, the Calderon-Zygmund decomposition, the Hilbert transform and properties of harmonic functions, the Littlewood-Paley theory, more. 1986 edition.

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First published January 1, 1986

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Alberto Torchinsky

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3 reviews
December 2, 2010
Fantastic introduction to the modern theory of real vaariable methods in H.A.
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