Classical and Multilinear Harmonic Analysis
(Book #137 in the Cambridge Studies in Advanced Mathematics Series)
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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 Calder n-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; Calder n's commutators and the Cauchy integral on Lipschitz curves. The material in this volume has not previously appeared together in book form.
Format:Hardcover
Language:English
ISBN:0521882451
ISBN13:9780521882453
Release Date:March 2013
Publisher:Cambridge University Press
Length:387 Pages
Weight:1.50 lbs.
Dimensions:1.1" x 6.3" x 9.1"
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