Elias M. Stein
Born	January January 13, 1931 (1931-01-13) (age 76) Belgium
Nationality	United States
Field	Mathematics
Notable prizes	Rolf Schock Prize Wolf Prize

Elias Menachem Stein (born January 13, 1931) is the Albert Baldwin Dod Professor of Mathematics at Princeton University. 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 (2002). In addition, he has fellowships to National Science Foundation, Sloan Foundation, Guggenheim, 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. Image File history File linksMetadata EMStein. ... is the 13th day of the year in the Gregorian calendar. ... Year 1931 (MCMXXXI) was a common year starting on Thursday (link will display full 1931 calendar) of the Gregorian calendar. ... Image File history File links This is a lossless scalable vector image. ... For other meanings of mathematics or uses of math and maths, see Mathematics (disambiguation) and Math (disambiguation). ... The Schock Prizes were instituted by the will of philosopher and artist Rolf Schock (1933-1986). ... The Wolf Prize has been awarded annually since 1978 to living scientists and artists for achievements in the interest of mankind and friendly relations among peoples . ... is the 13th day of the year in the Gregorian calendar. ... Year 1931 (MCMXXXI) was a common year starting on Thursday (link will display full 1931 calendar) of the Gregorian calendar. ... For other meanings of mathematics or uses of math and maths, see Mathematics (disambiguation) and Math (disambiguation). ... Princeton University is a private coeducational research university located in Princeton, New Jersey. ... The Leroy P. Steele Prizes are awarded every year by the American Mathematical Society, for distinguished research work and writing in the field of mathematics. ... The Schock Prizes were instituted by the will of philosopher and artist Rolf Schock (1933-1986). ... Past winners of the Wolf Prize in Mathematics: 1978 Israel M. Gelfand, Carl L. Siegel 1979 Jean Leray, André Weil 1980 Henri Cartan, Andrei Kolmogorov 1981 Lars Ahlfors, Oscar Zariski 1982 Hassler Whitney, Mark Grigoryevich Krein 1983/4 Shiing S. Chern, Paul Erdős 1984/5 Kunihiko Kodaira, Hans... National Medal of Science The National Medal of Science is an honor given by the President of the United States to individuals in science and engineering who have made important contributions to the advancement of knowledge in the fields of behavioral and social sciences, biology, chemistry, engineering, mathematics and physics. ... The logo of the National Science Foundation The National Science Foundation (NSF) is an independent United States government agency that supports fundamental research and education in all the non-medical fields of science and engineering. ... The Alfred P. Sloan Foundation, a philanthropic nonprofit institution in the United States, was established in 1934 by Alfred P. Sloan, Jr. ... Guggenheim Fellowships are awarded annually by the John Simon Guggenheim Memorial Foundation to those who have demonstrated exceptional capacity for productive scholarship or exceptional creative ability in the arts. ... President Harding and the National Academy of Sciences at the White House, Washington, DC, April 1921 The National Academy of Sciences (NAS) is a corporation in the United States whose members serve pro bono as advisers to the nation on science, engineering, and medicine. ... Stefan Bergman was a Polish-born mathematician whose primary work was in complex analysis. ...

Biography

Stein was born in Belgium. To escape Nazism, the Stein family fled to the United States, first arriving in New York. He graduated from Stuyvesant High School in 1949,^[1] moving onto 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 the Massachusetts Institute of Technology 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. Stuyvesant High School, commonly referred to as Stuy,[3] is a New York City public high school that specializes in mathematics and science. ... For other uses, see University of Chicago (disambiguation). ... For other uses, see University of Chicago (disambiguation). ... Antoni Zygmund (25 December 1900 _ 30 May 1992) was a Polish mathematician. ... “MIT” redirects here. ...

Stein has worked primarily in the field of harmonic analysis, and has made major contributions in both extending and clarifying Calderón-Zygmund theory. These include Stein interpolation (a very useful 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 nilpotent groups, the Cotlar-Stein lemma concerning the sum of almost orthogonal operators, and the Fefferman-Stein theory of the Hardy space H¹ and the space BMO of functions of bounded mean oscillation. Harmonic analysis is the branch of mathematics that studies the representation of functions or signals as the superposition of basic waves. ... Suppose { fn } is a sequence of functions sharing the same domain in common (for the moment, we defer making precise the nature of the values of these functions, but the reader may take them to be real numbers). ... In mathematics, the Hardy-Littlewood maximal operator is a significant non-linear operator used in real analysis and harmonic analysis. ... In mathematics, complementary series representations of a reductive real or p-adic Lie groups are certain irreducible unitary representations that are not tempered and do not appear in the decomposition of the regular representation into irreducible representations. ... Fourier analysis, named after Joseph Fouriers introduction of the Fourier series, is the decomposition of a function in terms of a sum of sinusoidal basis functions (vs. ... In mathematics and, in particular, functional analysis, convolution is a mathematical operator which takes two functions f and g and produces a third function that in a sense represents the amount of overlap between f and a reversed and translated version of g. ... In group theory, a nilpotent group is a group having a special property that makes it almost abelian, through repeated application of the commutator operation, [x,y] = x-1y-1xy. ... In mathematics, in the field of functional analysis, the Cotlar–Stein almost orthogonality lemma is named after mathematicians Mischa Cotlar and Elias Stein. ... In complex analysis, the Hardy spaces are analogues of the Lp spaces of functional analysis. ...

He has written numerous books on harmonic analysis (see e.g. [1,2,4]), which have been so influential in that field that they are often cited as the standard references on the subject. His Princeton Lectures in Analysis series [5,6,7], which he penned for his celebrated sequence of undergratuate courses on analysis at Princeton, is rapidly becoming standard in introductory graduate and advanced undergraduate courses.

Stein is also noted for having trained an unusually high number of successful graduate students (he has had at least 45 students, according to the Mathematics Genealogy Project), who have been very influential in shaping modern Fourier analysis, including two Fields medalists Charles Fefferman, 1978 and Terence Tao, 2006. The Mathematics Genealogy Project is a web-based database that gives an academic genealogy based on dissertation supervision relations. ... The obverse of the Fields Medal The Fields Medal is a prize awarded to two, three, or four mathematicians not over 40 years of age at each International Congress of the International Mathematical Union, a meeting that takes place every four years. ... Charles Louis Fefferman (born April 18, 1949) is a renowned American mathematician at Princeton University. ... Terence Chi-Shen Tao (陶哲軒) (born July 17, 1975, Adelaide, South Australia) is an Australian mathematician working primarily on harmonic analysis, partial differential equations, combinatorics, analytic number theory and representation theory. ...

Stein has two children, Karen and Jeremy, as well as three grandchildren, Alison, Jason, and Carolyn.

See also

• Stein-Strömberg theorem

In mathematics, the Stein-Strömberg theorem or Stein-Strömberg inequality is a result in measure theory concerning the Hardy-Littlewood maximal operator. ...

References

• This article incorporates material from Elias Stein on PlanetMath, which is licensed under the GFDL.

Year 2007 (MMVII) is the current year, a common year starting on Monday of the Gregorian calendar and the AD/CE era in the 21st century. ... is the 304th day of the year (305th in leap years) in the Gregorian calendar. ... PlanetMath is a free, collaborative, online mathematics encyclopedia. ...

Bibliography

• Stein, Elias (1970). Singular Integrals and Differentiability Properties of Functions. Princeton University Press. ISBN 0691080798. 
• Stein, Elias; Weiss, Guido (1971). Introduction to Fourier Analysis on Euclidean Spaces. Princeton University Press. ISBN 069108078X. 
• Stein, Elias (1971). Analytic Continuation of Group Representations. Princeton University Press. ISBN 0300014287. 
• Stein, Elias (1993). Harmonic Analysis: Real-variable Methods, Orthogonality and Oscillatory Integrals. Princeton University Press. ISBN 0691032165. 
• Stein, Elias (2003). Fourier Analysis: An Introduction. Princeton University Press. ISBN 069111384X. 
• Stein, Elias (2003). Complex Analysis. Princeton University Press. ISBN 0691113858. 
• Stein, Elias (2005). Real Analysis: Measure Theory, Integration, and Hilbert Spaces. Princeton University Press. ISBN 0691113866. 

External links

• Elias M. Stein at the Mathematics Genealogy Project
• Citation for Elias Stein for the 2002 Steele prize for lifetime achievement
• Elias Stein Curriculum Vitae