Classical and Multilinear Harmonic Analysis

Camil Muscalu

619,00 61900
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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.

Produktfakta

Språk Engelsk Engelsk Innbinding Innbundet
Utgitt 2013 Forfatter Camil Muscalu
Forlag
CAMBRIDGE UNIVERSITY PRESS
ISBN 9781107031821
Antall sider 339 Dimensjoner 15,9cm x 23,4cm x 2,4cm
Vekt 632 gram Leverandør Bertram Trading Ltd
Emner og form Differential calculus & equations, Complex analysis, complex variables, Real analysis, real variables, Integral calculus & equations