Description: This two-volume text in harmonic analysis introduces a wealth of analytical results and techniques. It is largely self-contained and will be useful to graduate students and researchers in both pure and applied analysis. Numerous exercises and problems make the text suitable for self-study and the classroom alike. This first volume starts with classical one-dimensional topics: Fourier series; harmonic functions; Hilbert transform. Then the higher-dimensional Calderon-Zygmund and Littlewood-Paley theories are developed. Probabilistic methods and their applications are discussed, as are applications of harmonic analysis to partial differential equations. The volume concludes with an introduction to the Weyl calculus. The second volume goes beyond the classical to the highly contemporary and focuses on multilinear aspects of harmonic analysis: the bilinear Hilbert transform; Coifman-Meyer theory; Carleson's resolution of the Lusin conjecture; Calderon's commutators and the Cauchy integral on Lipschitz curves. The material in this volume has not previously appeared together in book form.
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EAN: 9780521882453
UPC: 9780521882453
ISBN: 9780521882453
MPN: N/A
Book Title: Classical and Multilinear Harmonic Analysis 2 Volu
Number of Pages: 387 Pages
Language: English
Publication Name: Classical and Multilinear Harmonic Analysis
Publisher: Cambridge University Press
Publication Year: 2013
Subject: Differential Equations / Partial, Mathematical Analysis
Item Height: 0.9 in
Item Weight: 24.7 Oz
Type: Textbook
Author: Camil Muscalu, Wilhelm Schlag
Item Length: 9.2 in
Subject Area: Mathematics
Series: Cambridge Studies in Advanced Mathematics Ser.
Item Width: 6.1 in
Format: Hardcover
