Classical and Multilinear Harmonic Analysis 2 Volume Set Classical and

Description: 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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EAN: 9780521882453

UPC: 9780521882453

ISBN: 9780521882453

MPN: N/A

Book Title: Classical and Multilinear Harmonic Analysis 2 Volu

Number of Pages: 387 Pages

Language: English

Publication Name: Classical and Multilinear Harmonic Analysis

Publisher: Cambridge University Press

Publication Year: 2013

Subject: Differential Equations / Partial, Mathematical Analysis

Item Height: 0.9 in

Item Weight: 24.7 Oz

Type: Textbook

Author: Camil Muscalu, Wilhelm Schlag

Item Length: 9.2 in

Subject Area: Mathematics

Series: Cambridge Studies in Advanced Mathematics Ser.

Item Width: 6.1 in

Format: Hardcover