Nationality American Name Elias Stein Role Mathematician | Alma mater University of Chicago Fields Mathematics Doctoral advisor Antoni Zygmund Children Jeremy C. Stein | |

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.

## Contents

- Elias M Stein The Cauchy Szeg projection in several complex variables Lp estimates
- Elias M Stein National Medal of Science 2001
- Biography
- Personal life
- References

## Elias M. Stein- National Medal of Science 2001

## Biography

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.

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

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.