Classical and Multilinear Harmonic Analysis (Cambridge Studies in Advanced Mathematics, Series Number 137) (Volume 1),Used

Classical and Multilinear Harmonic Analysis (Cambridge Studies in Advanced Mathematics, Series Number 137) (Volume 1),Used

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Categories : Science & Math
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This twovolume text in harmonic analysis introduces a wealth of analytical results and techniques. It is largely selfcontained and will be useful to graduate students and researchers in both pure and applied analysis. Numerous exercises and problems make the text suitable for selfstudy and the classroom alike. This first volume starts with classical onedimensional topics: Fourier series; harmonic functions; Hilbert transform. Then the higherdimensional CaldernZygmund and LittlewoodPaley 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; CoifmanMeyer theory; Carleson's resolution of the Lusin conjecture; Caldern'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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