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Cambridge University Press Classical and Multilinear Harmonic Analysis: Volume 2 (Cambridge Studies in Advanced Mathematics, Series Number 138)

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£62.95 £59.58 £60.32 £61.05 £61.79 £62.52 £63.26 27 July 2026 13 August 2026 31 August 2026 17 September 2026 05 October 2026
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Description

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.

Product Specifications

Format
hardcover
Domain
Amazon UK
Release Date
31 January 2013
Listed Since
17 May 2012

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