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- DescriptionThis 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 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 t previously appeared together in book form.
- Author BiographyCamil Muscalu is Associate Professor of Mathematics at Cornell University, New York. W. Schlag is Professor in the Department of Mathematics at the University of Chicago.
- Author(s)Camil Muscalu,Wilhelm Schlag
- PublisherCambridge University Press
- Date of Publication31/01/2013
- Series TitleCambridge Studies in Advanced Mathematics
- Series Part/Volume Number137
- Place of PublicationCambridge
- Country of PublicationUnited Kingdom
- ImprintCambridge University Press
- Content Note25 b/w illus. 200 exercises
- Weight700 g
- Width152 mm
- Height228 mm
- Spine24 mm
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