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**About this book :- **
**Beijing Lectures in Harmonic Analysis ** written by
** Elias M. Stein **

The purpose of this book is to describe a certain number of results involving the study of non-linear analytic dependence of some functionals arising naturally in P.D.E. or operator theory.

The subjects deal It with were topics of current interest in the closely interrelated areas of Fourier analysis, pseudo-differential and singular integral operators, partial differential equations, real-variable theory, and several complex variables. Entitled the "Summer Symposium of Analysis in China," the conference was organized around seven series of expository lectures whose purpose was to give both an introduction of the basic material as well as a description of the most recent results in these areas. Our objective was to facilitate further scientific exchanges between the mathematicians of our two countries and to bring the students of the summer school to the level of current research in those important fields.

(Elias M. Stein)

**Book Detail :- **
** Title: ** Beijing Lectures in Harmonic Analysis
** Edition: **
** Author(s): ** Elias M. Stein
** Publisher: ** Princeton University Press
** Series: ** Annals of Mathematics Studies volume 112
** Year: ** 1986
** Pages: ** 426
** Type: ** PDF
** Language: ** English
** ISBN: ** 0691084181,9780691084183
** Country: ** US

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**About Author :- **

Author ** Elias Menachem Stein ** was an American mathematician who was famous because of his work in the field of harmonic analysis. He was professor of Mathematics at Princeton University from 1963 until his death in 2018.

Author ** Menachem Stein ** was born in Antwerp Belgium, to Elkan Stein and Chana Goldman, Ashkenazi Jews from Belgium. In 1940, the Stein family move to the United States. He graduated from Stuyvesant High School in 1949, where he was classmates with future Fields Medalist Paul Cohen, before moving on to the University of Chicago for college. In 1955, Stein earned a Ph.D. from the University of Chicago under the direction of Antoni Zygmund. He began teaching in MIT in 1955, moved to the University of Chicago in 1958 as an assistant professor, and in 1963 became a full professor at Princeton.

Stein worked primarily in the field of harmonic analysis, and made contributions in both extending and clarifying Calderón–Zygmund theory. These include Stein interpolation, the Stein maximal principle, Stein complementary series representations, Nikishin–Pisier–Stein factorization in operator theory, the Tomas–Stein restriction theorem in Fourier analysis, the Kunze–Stein phenomenon in convolution on semisimple groups, the Cotlar–Stein lemma concerning the sum of almost orthogonal operators, and the Fefferman–Stein theory of the Hardy space and the space of functions of bounded mean oscillation.

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**Book Contents :- **
**Beijing Lectures in Harmonic Analysis ** written by
** Elias M. Stein **
cover the following topics.

PREFACE

NON-LINEAR HARMONIC ANALYSIS, OPERATOR THEORY AND P.D.D. by R. R. Coifman and Yves Meyer

MUL TIPARAMETER FOURIER ANALYSIS by Robert Fefferman

ELLIPTIC BOUNDARY VALUE PROBLEMS ON LIPSCHITZ DOMAINS by Carlos E. Kenig

INTEGRAL FORMULAS IN COMPLEX ANALYSIS by Steven G. Krantz

VECTOR FIELDS AND NONISOTROPIC METRICS by Alexander Nagel

OSCILLATORY INTEGRALS IN FOURIER ANALYSIS by E. M. Stein

AVERAGES AND SINGULAR INTEGRALS OVER LOWER DIMENSIONAL SETS by Stephen Wainger

INDEX

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