Download Classical and Multilinear Harmonic Analysis: 2 (Cambridge by Camil Muscalu,Wilhelm Schlag PDF

By Camil Muscalu,Wilhelm Schlag

This two-volume textual content in harmonic research introduces a wealth of analytical effects and strategies. it truly is principally self-contained and precious to graduates and researchers in natural and utilized research. quite a few routines and difficulties make the textual content compatible for self-study and the study room alike. the 1st quantity begins with classical one-dimensional themes: 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 purposes of harmonic research to partial differential equations. the quantity concludes with an advent 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 idea; Carleson's answer of the Lusin conjecture; Calderón's commutators and the Cauchy critical on Lipschitz curves. the cloth during this quantity has no longer formerly seemed jointly in ebook form.

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