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Harmonic analysis : real-variable methods, orthogonality, and oscillatory integrals

Author: Elias M Stein; Timothy S Murphy
Publisher: Princeton, N.J. : Princeton University Press, 1993.
Series: Princeton mathematical series, 43.
Edition/Format:   Print book : EnglishView all editions and formats
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Contains an exposition of some of the main developments in the following areas of harmonic analysis: singular integral and pseudo-differential operators, the theory of Hardy spaces, L\sup\ estimates  Read more...

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Document Type: Book
All Authors / Contributors: Elias M Stein; Timothy S Murphy
ISBN: 0691032165 9780691032160
OCLC Number: 489837838
Notes: Collection d'après la jaquette.
Awards: Winner of Elias M. Stein Wolf Prize for Mathematics 1998
Description: 1 v. (XIII-695 p.) : ill. ; 25 cm.
Contents: PrefaceGuide to the ReaderPrologue3IReal-Variable Theory7IIMore About Maximal Functions49IIIHardy Spaces87IVH[superscript 1] and BMO139VWeighted Inequalities193VIPseudo-Differential and Singular Integral Operators: Fourier Transform228VIIPseudo-Differential and Singular Integral Operators: Almost Orthogonality269VIIIOscillatory Integrals of the First Kind329IXOscillatory Integrals of the Second Kind375XMaximal Operators: Some Examples433XIMaximal Averages and Oscillatory Integrals467XIIIntroduction to the Heisenberg Group527XIIIMore About the Heisenberg Group587Bibliography645Author Index679Subject Index685
Series Title: Princeton mathematical series, 43.
Responsibility: Elias M. Stein ; with the assistance of Timothy S. Murphy.
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Elias M. Stein, Winner of the 1998 Wolf Prize for Mathematics, the Wolf Foundation

 
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