Classical and Multilinear Harmonic Analysis: 1 (Cambridge - download pdf or read online

By Camil Muscalu,Wilhelm Schlag

ISBN-10: 0521882451

ISBN-13: 9780521882453

This two-volume textual content in harmonic research introduces a wealth of analytical effects and methods. it truly is mostly self-contained and may be beneficial to graduate scholars and researchers in either natural and utilized research. a number of workouts and difficulties make the textual content compatible for self-study and the study room alike. this primary quantity starts off with classical one-dimensional issues: Fourier sequence; harmonic services; Hilbert remodel. Then the higher-dimensional Calderón–Zygmund and Littlewood–Paley theories are constructed. Probabilistic equipment and their functions are mentioned, as are purposes 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 makes a speciality of multilinear facets of harmonic research: the bilinear Hilbert rework; Coifman–Meyer concept; Carleson's answer of the Lusin conjecture; Calderón's commutators and the Cauchy fundamental on Lipschitz curves. the fabric during this quantity has no longer 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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