Read e-book online Classical and Multilinear Harmonic Analysis: 2 (Cambridge PDF

By Camil Muscalu,Wilhelm Schlag

ISBN-10: 1107031826

ISBN-13: 9781107031821

This two-volume textual content in harmonic research introduces a wealth of analytical effects and strategies. it truly is mostly self-contained and necessary to graduates and researchers in natural and utilized research. a number of routines and difficulties make the textual content compatible for self-study and the school room alike. the 1st quantity begins with classical one-dimensional issues: Fourier sequence; harmonic features; Hilbert rework. Then the higher-dimensional Calderón-Zygmund and Littlewood-Paley theories are built. Probabilistic equipment and their functions are mentioned, as are functions of harmonic research to partial differential equations. the amount concludes with an creation to the Weyl calculus. the second one quantity is going past the classical to the hugely modern and specializes in multilinear points of harmonic research: the bilinear Hilbert remodel; Coifman-Meyer thought; Carleson's answer of the Lusin conjecture; Calderón's commutators and the Cauchy essential on Lipschitz curves. the cloth during this quantity has now not formerly seemed jointly in booklet form.

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Classical and Multilinear Harmonic Analysis: 2 (Cambridge Studies in Advanced Mathematics, 138) by Camil Muscalu,Wilhelm Schlag

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