ELIAS M. STEIN

(Redirected from Elias Stein)

'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 2005, Stein was awarded the Stefan Bergman prize in recognition of his contributions in real, complex, and harmonic analysis.
Born in Belgium, Stein graduated from Stuyvesant High School in 1949. To escape Nazism, the Stein family fled to the United States, first arriving in New York. In 1955, Stein earned a Ph.D. from the University of Chicago under the direction of Antoni Zygmund. He began teaching at Princeton in 1963 and he remained there for his entire career.
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 $H^1$ and the space $BMO$ 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 an extraordinary number of graduate students (at least 44, according to the Mathematics Genealogy Project), including two Fields medalists Charles Fefferman and Terence Tao.

Contents

References

External links

References

# Singular Integrals and Differentiability Properties of Functions, , Elias, Stein, Princeton University Press, 1970, ISBN 0-691-08079-8
# Introduction to Fourier Analysis on Euclidean Spaces, , Elias, Stein, Princeton University Press, 1971, ISBN 0-691-08078-X
#Elias Stein, ''Analytic Continuation of Group Representations'' ISBN 0300014287
# Harmonic Analysis: Real-variable Methods, Orthogonality and Oscillatory Integrals, , Elias, Stein, Princeton University Press, 1993, ISBN 0-691-03216-5
# Fourier Analysis: An Introduction, , Elias, Stein, Princeton University Press, 2003, ISBN 0-691-11384-X
# Complex Analysis, , Elias, Stein, Princeton University Press, 2003, ISBN 0-691-11385-8
# Real Analysis: Measure Theory, Integration, and Hilbert Spaces, , Elias, Stein, Princeton University Press, 2005, ISBN 0-691-11386-6

External links

★

★ Citation for Elias Stein for the 2002 Steele prize for lifetime achievement

★ Bergman prize for work in real, complex, and harmonic analysis