Classical and Multilinear Harmonic Analysis

Name: Classical and Multilinear Harmonic Analysis
Price: 66.31 USD
Availability: InStock
ISBN: 9780521882453

ISBN-10: 0521882451

ISBN-13: 9780521882453

Edition: 2012

Authors: Camil Muscalu, Wilhelm Schlag

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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 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 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…

Book details

Copyright year: 2012
Publisher: Cambridge University Press
Publication date: 1/31/2013
Binding: Hardcover
Pages: 387
Size: 6.10" wide x 9.21" long x 0.94" tall
Weight: 1.716
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



Fourier series: convergence and summability



Harmonic functions on D and the Poisson kernel



Analytic h1(D) functions, F. and M. Riesz theorem



The conjugate harmonic function



The Fourier Transform on Rd



Introduction to probability theory I



Fourier series on L1(T): pointwise questions



Calderï¿½n-Zygmund theory of singular integrals



Almost orthogonality



The uncertainty principle



Littlewood-Paley theory



Fourier restriction and applications


References


Index