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Elias Menachem Stein (born January 13, 1931) is a mathematician active in the field of harmonic analysis. He is a professor emeritus of Mathematics at Princeton University. ==Biography== Stein was born to Elkan Stein and Chana Goldman, Ashkenazi Jews from Belgium.〔(University of St Andrews, Scotland - School of Mathematics and Statistics: "Elias Menachem Stein" by J.J. O'Connor and E F Robertson ) February 2010〕 After the German invasion in 1940, the Stein family fled to the United States, first arriving in New York.〔 He graduated from Stuyvesant High School in 1949,〔 where he was classmates with future Fields Medalist Paul Cohen,〔(【引用サイトリンク】title=Stuyvesant High School Endowment Fund )〕 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. 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 and the space of functions of bounded mean oscillation. He has written numerous books on harmonic analysis (see e.g. ()), which are often cited as the standard references on the subject. His ''Princeton Lectures in Analysis'' series () 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.〔(List of Fellows of the American Mathematical Society ), retrieved 2013-08-05.〕 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Elias M. Stein」の詳細全文を読む スポンサード リンク
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