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Elias M Stein

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Nationality  American
Name  Elias Stein
Role  Mathematician

Alma mater  University of Chicago
Fields  Mathematics
Doctoral advisor  Antoni Zygmund
Children  Jeremy C. Stein
Elias M. Stein httpsuploadwikimediaorgwikipediacommonsthu

Born  January 13, 1931 (age 84)Antwerp, Belgium (1931-01-13)
Doctoral students  Charles FeffermanChristopher D. SoggeRobert StrichartzTerence TaoGregg ZuckermanSteven G. KrantzWilliam E. BecknerDavid JerisonSundaram Thangavelu
Notable awards  Rolf Schock Prize in Mathematics (1993)Wolf Prize in Mathematics (1999)National Medal of Science (2001)Leroy P. Steele Prize (2002)
Education  University of Chicago (1955), Stuyvesant High School
Awards  Wolf Prize in Mathematics
Books  Singular Integrals and Differ, Fourier Analysis: An Introd, Real analysis, Functional Analysis: Introducti, Topics in Harmonic Analysis
Similar People  Charles Fefferman, Antoni Zygmund, Gerald Folland, Terence Tao, Joseph J Kohn

Institutions  Princeton University

Elias M. Stein - The Cauchy-Szegő projection in several complex variables: L^p estimates

Elias Menachem Stein (born January 13, 1931) is a mathematician. He is a leading figure in the field of harmonic analysis. He is a professor emeritus of Mathematics at Princeton University.


Elias M. Stein Analysis and Applications

Elias M. Stein- National Medal of Science 2001


Elias M. Stein Stein EM ed Beijing Lectures in Harmonic Analysis AM112

Stein was born to Elkan Stein and Chana Goldman, Ashkenazi Jews from Belgium. After the German invasion in 1940, the Stein family fled to the United States, first arriving in New York City. 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, the position he currently holds.

Elias M. Stein 2002 Rado Lectures

Stein has worked primarily in the field of harmonic analysis, and has made contributions in both extending and clarifying Calderón–Zygmund theory. These include Stein interpolation (a variable-parameter version of complex interpolation), the Stein maximal principle (showing that under many circumstances, almost everywhere convergence is equivalent to the boundedness of a maximal function), 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 H 1 and the space B M O of functions of bounded mean oscillation.

Elias M. Stein Elias M Stein The CauchySzeg projection in several complex

He has written numerous books on harmonic analysis (see e.g. [1,3,5]), which are often cited as the standard references on the subject. His Princeton Lectures in Analysis series [6,7,8,9] were penned for his sequence of undergraduate courses on analysis at Princeton. Stein is also noted as having trained a high number of graduate students (he has had at least 51 students, according to the Mathematics Genealogy Project), so shaping modern Fourier analysis. They include two Fields medalists, Charles Fefferman and Terence Tao.

His honors include the Steele Prize (1984 and 2002), the Schock Prize in Mathematics (1993), the Wolf Prize in Mathematics (1999), and the National Medal of Science (2001). In addition, he has fellowships to National Science Foundation, Sloan Foundation, Guggenheim Foundation, and National Academy of Sciences. In 2005, Stein was awarded the Stefan Bergman prize in recognition of his contributions in real, complex, and harmonic analysis. In 2012 he became a fellow of the American Mathematical Society.

Personal life

In 1959, he married Elly Intrator, a former Jewish refugee during World War II. They had two children, Karen Stein and Jeremy C. Stein, and grandchildren named Alison, Jason, and Carolyn. His son Jeremy is a professor of financial economics at Harvard, former adviser to Tim Geithner and Lawrence Summers, and was appointed to the Federal Reserve Board of Governors by President Barack Obama in 2011.


Elias M. Stein Wikipedia