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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
Summary:

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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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Elias M Stein; Timothy S Murphy
ISBN: 0691032165 9780691032160
OCLC Number: 27108521
Notes: Series statement from jacket.
Awards: Winner of Elias M. Stein Wolf Prize for Mathematics 1998
Description: xiii, 695 pages : illustrations ; 25 cm.
Contents: Real-variable theory --
More about maximal functions --
Hardy spaces --
H₁ and BMO --
Weighted inequalities --
Pseudo-differential and singular integral operators: Fourier transform --
Pseudo-differential and singular integral operators: Almost orthogonality --
Oscillatory integrals of the first kind --
Oscillatory integrals of the second kind --
Maximal operators: Some examples --
Maximal averages and oscillatory integrals --
Introduction to the Heisenberg group --
More about the Heisenberg group.
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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