Classical and Multilinear Harmonic Analysis (Hardcover) (ISBN-13: 9780521882453)

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 Calder n-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; Calder n's commutators and the Cauchy integral on Lipschitz curves. The material in this volume has not previously appeared together in book form.

Author: Camil Muscalu, Wilhelm Schlag
ISBN-10: 0521882451
ISBN-13: 9780521882453
Publisher: Cambridge University Press
Language: English
Published: 01/31/2013
Pages: 387
Format: Hardcover
Weight: 1.50lbs
Size: 9.10h x 6.30w x 1.10d