Classical and Multilinear Harmonic Analysis PDF (Adobe DRM) download by Camil Muscalu

Classical and Multilinear Harmonic Analysis

Cambridge University Press
Publication date: January 2013
ISBN: 9781139602990
Digital Book format: PDF (Adobe DRM)

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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 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 CalderÛnñZygmund and LittlewoodñPaley 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; CoifmanñMeyer theory; Carleson's resolution of the Lusin conjecture; CalderÛn'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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List Price: $60.00 Our price: $55.99