Classical and Multilinear Harmonic Analysis

Name: Classical and Multilinear Harmonic Analysis
Price: 61.35 USD
Availability: InStock
ISBN: 9781107031821

ISBN-10: 1107031826

ISBN-13: 9781107031821

Edition: 2012

Authors: Camil Muscalu, Wilhelm Schlag

List price: $62.99

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Description:

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…

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.



Preface


Acknowledgements



Leibniz rules and gKdV equations



Classical paraproducts



Paraproducts on polydiscs



Calderï¿½n 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


Bibliography


Index