Classical and multilinear harmonic analysis, Vol.2

By:

Muscalu, Camil

Contributor(s):

Schlag, Wilhelm

Series: Cambridge studies in advanced mathematics ; 137Publication details: Cambridge University Press, 2013. Cambridge:Description: xvi, 324p. : ill.; hb. ; 24 cmISBN:

9781107031821

Subject(s):

DDC classification:

515.2422 MUS

Summary: 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 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.

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Item type	Current library	Collection	Call number	Copy number	Status	Date due	Barcode
Books	IIT Gandhinagar General Stacks	General	515.2422 MUS (Browse shelf(Opens below))	1	Available		030073

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Previous	515 VEL Calculus: a rigorous first course	515.1 LIP Geometric analysis	515.22 BOR Representations of the infinite symmetric group	515.2422 MUS Classical and multilinear harmonic analysis, Vol.2	515.243 HIR Infinite series	515.2433 JEN Ripples in mathematics: the discrete wavelet transform	515.2433 BLE Analysis in integer and fractional dimensions	Next

Includes bibliographical references and index.

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 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.

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