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Classical and multilinear harmonic a...

Muscalu, Camil.

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Classical and multilinear harmonic analysis.. Volume 2

Record Type:	Electronic resources : Monograph/item
Title/Author:	Classical and multilinear harmonic analysis./ Camil Muscalu, Wilhelm Schlag.
remainder title:	Classical & Multilinear Harmonic Analysis
Author:	Muscalu, Camil.
other author:	Schlag, Wilhelm,
Published:	Cambridge :Cambridge University Press, : 2013.,
Description:	xvi, 324 p. :ill., digital ;24 cm.
Notes:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
Subject:	Harmonic analysis. -
Online resource:	https://doi.org/10.1017/CBO9781139410397
ISBN:	9781139410397

Classical and multilinear harmonic analysis.. Volume 2
Muscalu, Camil.

Classical and multilinear harmonic analysis.Volume 2[electronic resource] /Classical & Multilinear Harmonic AnalysisCamil Muscalu, Wilhelm Schlag. - Cambridge :Cambridge University Press,2013. - xvi, 324 p. :ill., digital ;24 cm. - Cambridge studies in advanced mathematics ;138. - Cambridge studies in advanced mathematics ;138..

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

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 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.

ISBN: 9781139410397Subjects--Topical Terms:

555704
Harmonic analysis.

LC Class. No.: QA403 / .M87 2013

Dewey Class. No.: 515.2422

Classical and multilinear harmonic analysis.. Volume 2
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245 1 0 $a Classical and multilinear harmonic analysis. $n Volume 2 $h [electronic resource] / $c Camil Muscalu, Wilhelm Schlag.
246 3 $a Classical & Multilinear Harmonic Analysis
260 $a Cambridge : $b Cambridge University Press, $c 2013.
300 $a xvi, 324 p. : $b ill., digital ; $c 24 cm.
490 1 $a Cambridge studies in advanced mathematics ; $v 138
500 $a Title from publisher's bibliographic system (viewed on 05 Oct 2015).
520 $a 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 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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700 1 $a Schlag, Wilhelm, $d 1969- $e author. $3 1959015
830 0 $a Cambridge studies in advanced mathematics ; $v 138. $3 3470475
856 4 0 $u https://doi.org/10.1017/CBO9781139410397