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Classical and Multilinear Harmonic Analysis (Hardcover, New)
Loot Price: R2,482
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Classical and Multilinear Harmonic Analysis (Hardcover, New)
Series: Cambridge Studies in Advanced Mathematics, Volume 1
Expected to ship within 10 - 15 working days
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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
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 not previously appeared together in
book form.
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