Elias M. Stein 418073 225818774 2008-07-15T15:29:11Z Jvohn 4525456 infobox {{Infobox_Scientist | name = Elias M. Stein | image = EMStein.jpg | birth_date = {{Birth date and age|1931|1|13}} | birth_place = [[Belgium]] | residence = | nationality = {{USA}} | field = [[Mathematics]] | work_institution = [[Princeton University]] | alma_mater = [[University of Chicago]] | doctoral_advisor = [[Antoni Zygmund]] | doctoral_students = [[Charles Fefferman]]<br>[[Terence Tao]] | known_for = | author_abbreviation_bot = | author_abbreviation_zoo = | prizes = [[Rolf Schock Prize]]<br>[[Wolf Prize]] | religion = | footnotes = }} '''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]], [[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. ==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,<ref>{{cite web |url=http://65.104.11.121/Math1948F.html |title=Stuyvesant Math Team, Fall 1948 |accessdate=2007-10-31}}</ref> 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. 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 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. [1,2,4]), 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. This includes two [[Fields medal]]ists, [[Charles Fefferman]] and [[Terence Tao]]. Stein has two children, Karen and Jeremy, as well as three grandchildren, Alison, Jason, and Carolyn. ==See also== * [[Stein-Strömberg theorem]] {{start box}} {{succession box | before=[[Albert W. Tucker]] | title=Dod Professor of Mathematics at [[Princeton University]] | years=1975&ndash;present | after=[[incumbent]] }} {{end box}} ==References== {{Reflist}} *{{planetmath|id=9300|title=Elias Stein}} == Bibliography== *{{cite book | first=Elias | last=Stein | year=1970 | title=Singular Integrals and Differentiability Properties of Functions | publisher=Princeton University Press | isbn=0691080798}} *{{cite book | first=Elias | last=Stein | coauthors=Weiss, Guido | year=1971 | title=Introduction to Fourier Analysis on Euclidean Spaces | publisher=Princeton University Press | isbn=069108078X}} *{{cite book | first=Elias | last=Stein | year=1971| title=Analytic Continuation of Group Representations | publisher=Princeton University Press | isbn=0300014287}} *{{cite book | first=Elias | last=Stein | year=1993 | title=Harmonic Analysis: Real-variable Methods, Orthogonality and Oscillatory Integrals | publisher=Princeton University Press | isbn=0691032165}} *{{cite book | first=Elias | last=Stein | year=2003 | title=Fourier Analysis: An Introduction | publisher=Princeton University Press | isbn=069111384X}} *{{cite book | first=Elias | last=Stein | year=2003 | title=Complex Analysis | publisher=Princeton University Press | isbn=0691113858}} *{{cite book | first=Elias | last=Stein | year=2005 | title=Real Analysis: Measure Theory, Integration, and Hilbert Spaces | publisher=Princeton University Press | isbn=0691113866}} == 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/CV/SteinCV.pdf Elias Stein Curriculum Vitae] {{Schock Prize laureates}} {{Wolf Prize in Mathematics}} {{DEFAULTSORT:Stein, Elias M.}} [[Category:1931 births]] [[Category:Members of the National Academy of Sciences]] [[Category:20th century mathematicians]] [[Category:21st century mathematicians]] [[Category:American Jews]] [[Category:American mathematicians]] [[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]] [[es:Elias M. Stein]]