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MARC 21

Classical and multilinear harmonic analysis. Volume 1
Tag	Description
020	$a9780521882453
082	$a515.2433
099	$a517.986 MUS v.1
100	$aMuscalu, Camil
245	$aClassical and multilinear harmonic analysis. Volume 1$hM$cCamil Muscalu, Wilhelm Schlag
260	$aCambridge$bCambridge University Press$c2013
300	$axviii, 370 pages$bill.$c24 cm.
440	$aCambridge studies in advanced mathematics$v137
500	$aOnline publication date:February 2013
520	$aThis 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 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.
538	$aOnline access to the digital version of this printed book is available only to subscription institutions through IP address (only for SISSA internal users)
700	$aSchlag, Wilhelm$a1969-