Classical and Multilinear Harmonic Analysis: Complete 2 Volume Set (Cambridge Studies in Advanced Mathematics)

A complete two volume set in the publisher's original matching laminated hardback bindings. In nearly new condition, just a non-text page showing a 'damaged' stamp. These books however are undamaged, not showing any defects. They look and feel unread. Thus the contents are crisp, tight and fresh. The first volume starts with classical one-dimensional topics: Fourier series; harmonic functions; Hilbert transform. Then the higher-dimensional Calderón?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; Calderón's commutators and the Cauchy integral on Lipschitz curves. The material in this volume has not previously appeared together in book form.…