Camil Muscalu,Wilhelm Schlag's Classical and Multilinear Harmonic Analysis: 1 (Cambridge PDF

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By Camil Muscalu,Wilhelm Schlag

This two-volume textual content in harmonic research introduces a wealth of analytical effects and strategies. it's mostly self-contained and should be beneficial to graduate scholars and researchers in either natural and utilized research. a variety of routines and difficulties make the textual content compatible for self-study and the school room alike. this primary quantity begins with classical one-dimensional themes: Fourier sequence; harmonic services; Hilbert remodel. Then the higher-dimensional Calderón–Zygmund and Littlewood–Paley theories are constructed. Probabilistic equipment and their purposes are mentioned, as are functions of harmonic research to partial differential equations. the amount concludes with an advent to the Weyl calculus. the second one quantity is going past the classical to the hugely modern and makes a speciality of multilinear facets of harmonic research: the bilinear Hilbert remodel; Coifman–Meyer conception; Carleson's solution of the Lusin conjecture; Calderón's commutators and the Cauchy critical on Lipschitz curves. the fabric during this quantity has now not formerly seemed jointly in e-book form.

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Classical and Multilinear Harmonic Analysis: 1 (Cambridge Studies in Advanced Mathematics, 137) by Camil Muscalu,Wilhelm Schlag


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