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Classical and Multilinear Harmonic Analysis

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ISBN-10: 1107031826

ISBN-13: 9781107031821

Edition: 2012

Authors: Camil Muscalu, Wilhelm Schlag

List price: $62.99
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This two-volume text in harmonic analysis introduces a wealth of analytical results and techniques. It is largely self-contained and useful to graduates and researchers in pure and applied analysis. Numerous exercises and problems make the text suitable for self-study and the classroom alike. The first volume starts with classical one-dimensional topics: Fourier series; harmonic functions; Hilbert transform. Then the higher-dimensional Calderón–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…    
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Book details

List price: $62.99
Copyright year: 2012
Publisher: Cambridge University Press
Publication date: 1/31/2013
Binding: Hardcover
Pages: 339
Size: 6.10" wide x 9.09" long x 0.91" tall
Weight: 1.364
Language: English

Camil Muscalu is Associate Professor of Mathematics at Cornell University, New York.

Wilhelm Schlag is Professor in the Department of Mathematics at the University of Chicago.

Leibniz rules and gKdV equations
Classical paraproducts
Paraproducts on polydiscs
Calder�n commutators and the Cauchy integral
Iterated Fourier series and physical reality
The bilinear Hilbert transform
Almost everywhere convergence of Fourier series
Flag paraproducts
Appendix: multilinear interpolation