Real Variable Methods In Harmonic Analysis
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Real-variable Methods in Harmonic Analysis
Author: Alberto Torchinsky
language: en
Publisher: Courier Corporation
Release Date: 2004-04-09
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 Calderón-Zygmund decomposition, the Hilbert transform and properties of harmonic functions, the Littlewood-Paley theory, more. 1986 edition.
Harmonic Analysis
Author: Elias M. Stein
language: en
Publisher: Princeton University Press
Release Date: 1993-08
This book contains an exposition of some of the main developments of the last twenty years in the following areas of harmonic analysis: singular integral and pseudo-differential operators, the theory of Hardy spaces, L\sup\ estimates involving oscillatory integrals and Fourier integral operators, relations of curvature to maximal inequalities, and connections with analysis on the Heisenberg group.
Classical and Multilinear Harmonic Analysis
Author: Camil Muscalu
language: en
Publisher: Cambridge University Press
Release Date: 2013-01-31
This contemporary graduate-level text in harmonic analysis introduces the reader to a wide array of analytical results and techniques.