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{{Redirect|Elias Stein|the Dutch chess player|Elias Stein (chess player)}}
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{{BLP sources|date=February 2013}}
{{Infobox scientist
| name                    = Elias M. Stein
| image                  = Elias Stein.jpeg
| birth_date              = {{Birth date and age|1931|1|13}}
| birth_place            = [[Antwerp]], [[Belgium]]
| residence              =
| nationality            = [[United States|American]]
| field                  = [[Mathematics]]
| work_institution        = [[Princeton University]]
| alma_mater              = [[University of Chicago]]
| doctoral_advisor        = [[Antoni Zygmund]]
| doctoral_students      = [[Charles Fefferman]]<br>[[Christopher Sogge]]<br>[[Robert Strichartz]]<br>[[Terence Tao]]<br>[[Gregg Zuckerman]]<br>[[Steven G. Krantz]]<br>[[William E. Beckner]]
| known_for              =
| spouse                  = Elly Intrator
| ethnicity              = Jewish
| parents                = Chana Goldman<br> Elkan Stein
| children                = Karen Stein<br> [[Jeremy C. Stein]]
| prizes                  = [[Rolf Schock Prize]]<br>[[Wolf Prize]]
| religion                =
| footnotes              =
}}
'''Elias Menachem Stein''' (born January 13, 1931) is a [[mathematician]] and a leading figure 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]].<ref name=StAndrews>[http://www-history.mcs.st-and.ac.uk/Biographies/Stein.html University of St Andrews, Scotland - School of Mathematics and Statistics: "Elias Menachem Stein" by J.J. O'Connor and E F Robertson] February 2010</ref> After the [[Battle of Belgium|German invasion in 1940]], the Stein family fled to the [[United States]], first arriving in [[New York]].<ref name=StAndrews /> He graduated from [[Stuyvesant High School]] in 1949,<ref name=StAndrews /> where he was classmates with future [[Fields Medalist]] [[Paul Cohen (mathematician)|Paul Cohen]],<ref>{{cite web |url=http://www.ourstrongband.org/history/timeline-1940.html |title=Stuyvesant High School Endowment Fund |accessdate=2013-07-07}}</ref> 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 major 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 representation]]s'', ''Nikishin–Pisier–Stein factorization'' in operator theory, the ''Tomas–Stein restriction theorem'' in [[Fourier analysis]], the ''Kunze–Stein phenomenon'' in [[convolution]] on [[semisimple group]]s, the [[Cotlar–Stein lemma]] concerning the sum of almost orthogonal operators, and the Fefferman–Stein theory of the [[Hardy space]] <math>H^1</math> and the space <math>BMO</math> of functions of bounded mean oscillation.
 
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 45 students, according to the [[Mathematics Genealogy Project]]), so shaping modern Fourier analysis. They include two [[Fields medal]]ists, [[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]] (2002). In addition, he has fellowships to [[National Science Foundation]], [[Alfred P. Sloan Foundation|Sloan Foundation]], [[Guggenheim Fellowship|Guggenheim]], and [[United States National Academy of Sciences|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]].<ref>[http://www.ams.org/profession/fellows-list List of Fellows of the American Mathematical Society], retrieved 2013-08-05.</ref>
 
==Personal life==
In 1959, he married Elly Intrator,<ref name=StAndrews /> a former [[Jewish]] refugee during [[World War II]].<ref>[http://access.cjh.org/home.php?type=extid&term=1525679#1 Center for Jewish History: "AHC interview with Elly Stein"] 2012</ref> They had two children, Karen Stein and [[Jeremy C. Stein]].<ref name=StAndrews /> His son Jeremy is a former 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. Stein has three grandchildren.
 
==See also==
* [[Stein–Strömberg theorem]]
 
==Bibliography==
*{{cite book | first=Elias | last=Stein | year=1970 | title=Singular Integrals and Differentiability Properties of Functions | publisher=Princeton University Press | isbn=0-691-08079-8}}
*{{cite book | first=Elias | last=Stein | year=1970 | title=Topics in Harmonic Analysis Related to the Littlewood-Paley Theory | publisher=Princeton University Press | isbn=0-691-08067-4}}
*{{cite book | first=Elias | last=Stein | coauthors=Weiss, Guido | year=1971 | title=Introduction to Fourier Analysis on Euclidean Spaces | publisher=Princeton University Press | isbn=0-691-08078-X}}
*{{cite book | first=Elias | last=Stein | year=1971| title=Analytic Continuation of Group Representations | publisher=Princeton University Press | isbn=0-300-01428-7}}
*{{cite book | first=Alexander | last=Nagel | year=1979 | title=Lectures on Pseudo-differential Operators: Regularity Theorems and Applications to Non-elliptic Problems | publisher=Princeton University Press | isbn=978-0-691-08247-9}}<ref>{{cite journal|author=Beals, Richard|authorlink=Richard Beals (mathematician)|title=Review: ''Lectures on pseudo-differential operators: Regularity Theorems and applications to non-elliptic problems'', by Alexander Nagel and E. M. Stein|journal=Bull. Amer. Math. Soc. (N.S.)|year=1980|volume=3|issue=3|pages=1069–1074|url=http://www.ams.org/journals/bull/1980-03-03/S0273-0979-1980-14859-4/S0273-0979-1980-14859-4.pdf}}</ref>
*{{cite book | first=Elias | last=Stein | year=1993 | title=Harmonic Analysis: Real-variable Methods, Orthogonality and Oscillatory Integrals | publisher=Princeton University Press | isbn=0-691-03216-5}}<ref>{{cite journal|author=Ricci, Fulvio|title=Review: ''Harmonic Analysis: Real-variable Methods, Orthogonality and Oscillatory Integrals'', by Elias Stein|journal=Bull. Amer. Math. Soc. (N.S.)|year=1999|volume=36|issue=4|pages=505–521|url=http://www.ams.org/journals/bull/1999-36-04/S0273-0979-99-00792-2/}}</ref>
*{{cite book | first=Elias | last=Stein| coauthors= Shakarchi, R.  | year=2003 | title=Fourier Analysis: An Introduction | publisher=Princeton University Press | isbn=0-691-11384-X}}
*{{cite book | first=Elias | last=Stein| coauthors= Shakarchi, R.  | year=2003 | title=Complex Analysis | publisher=Princeton University Press | isbn=0-691-11385-8}}
*{{cite book | first=Elias | last=Stein| coauthors= Shakarchi, R. | year=2005 | title=Real Analysis: Measure Theory, Integration, and Hilbert Spaces | publisher=Princeton University Press | isbn=0-691-11386-6}}
*{{cite book | first=Elias | last=Stein| coauthors= Shakarchi, R. | year=2011 | title=Functional Analysis: An Introduction to Further Topics in Analysis | publisher=Princeton University Press | isbn=0-691-11387-4}}
 
==Notes==
{{Reflist}}
 
==References==
*{{PlanetMath attribution|id=9300|title=Elias Stein}}
 
==External links==
*{{MathGenealogy |id=6454}}
* [http://www.ams.org/notices/200204/comm-steeleprz.pdf Citation for Elias Stein for the 2002 Steele prize for lifetime achievement]
* [http://www.math.princeton.edu/WebCV/SteinCV.pdf Elias Stein Curriculum Vitae]
 
{{s-start}}
{{s-aca}}
{{succession box
|before=[[Albert W. Tucker]]
|title=Dod Professor of Mathematics at [[Princeton University]]
|years=1975–present
|after=[[incumbent]]
}}
{{s-end}}
{{Schock Prize laureates}}
{{Wolf Prize in Mathematics}}
{{Winners of the National Medal of Science|math-stat-comp}}
 
{{Authority control |VIAF=108640679 |LCCN=n/79/90040 |GND=119278596}}
 
{{Persondata
| NAME              = Stein, Elias M.
| ALTERNATIVE NAMES =
| SHORT DESCRIPTION = American mathematician
| DATE OF BIRTH    = January 13, 1931
| PLACE OF BIRTH    = [[Belgium]]
| DATE OF DEATH    =
| PLACE OF DEATH    =
}}
{{DEFAULTSORT:Stein, Elias M.}}
[[Category:1931 births]]
[[Category:Members of the United States National Academy of Sciences]]
[[Category:20th-century mathematicians]]
[[Category:21st-century mathematicians]]
[[Category:American Jews]]
[[Category:American mathematicians]]
[[Category:American people of Belgian-Jewish descent]]
[[Category:Belgian emigrants to the United States]]
[[Category:Living people]]
[[Category:Mathematical analysts]]
[[Category:National Medal of Science laureates]]
[[Category:Princeton University faculty]]
[[Category:Rolf Schock Prize laureates]]
[[Category:Stuyvesant High School alumni]]
[[Category:University of Chicago alumni]]
[[Category:Wolf Prize in Mathematics laureates]]
[[Category:ISI highly cited researchers]]
[[Category:Alexander von Humboldt Fellows]]
[[Category:Fellows of the American Mathematical Society]]
[[Category:Guggenheim Fellows]]

Revision as of 15:40, 27 February 2014

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