Classical and Multilinear Harmonic Analysis

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Camil Muscalu (Cornell University, New York) Wilhelm Schlag (University of Chicago)

Classical and Multilinear Harmonic Analysis

Camil Muscalu (Cornell University, New York), Wilhelm Schlag (University of Chicago)

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English

Cambridge University Press
31 January 2013

Series: Classical and Multilinear Harmonic Analysis 2 Volume Set

This two-volume text in harmonic analysis introduces a wealth of analytical results and techniques. It is largely self-contained and useful to graduates and researchers in pure and applied analysis. Numerous exercises and problems make the text suitable for self-study and the classroom alike. The first volume starts with classical one-dimensional topics: Fourier series; harmonic functions; Hilbert transform. Then the higher-dimensional Calderón–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; Calderón's commutators and the Cauchy integral on Lipschitz curves. The material in this volume has not previously appeared together in book form.

By: Camil Muscalu (Cornell University New York), Wilhelm Schlag (University of Chicago)
Imprint: Cambridge University Press
Country of Publication: United Kingdom
Volume: Volume 2
Dimensions: Height: 231mm, Width: 155mm, Spine: 23mm
Weight: 620g
ISBN: 9781107031821
ISBN 10: 1107031826
Series: Classical and Multilinear Harmonic Analysis 2 Volume Set
Pages: 339
Publication Date: 31 January 2013
Audience: College/higher education , Professional and scholarly , Primary , Undergraduate
Format: Hardback
Publisher's Status: Active

Camil Muscalu is Associate Professor of Mathematics at Cornell University, New York. Wilhelm Schlag is Professor in the Department of Mathematics at the University of Chicago.

Reviews for Classical and Multilinear Harmonic Analysis

Review of the set: 'The two-volume set under review is a worthy addition to this tradition from two of the younger generation of researchers. It is remarkable that the authors have managed to fit all of this into [this number of] smaller-than-average pages without omitting to provide motivation and helpful intuitive remarks. Altogether, these books are a most welcome addition to the literature of harmonic analysis.' Gerald B. Folland, Mathematical Reviews The two-volume set under review is a worthy addition to this tradition from two of the younger generation of researchers. It is remarkable that the authors have managed to fit all of this into [this number of] smaller-than-average pages without omitting to provide motivation and helpful intuitive remarks. Altogether, these books are a most welcome addition to the literature of harmonic analysis. Gerald B. Folland, Mathematical Reviews