Mathematician:Elias Menachem Stein

Mathematician

Belgian-born American mathematician known as a leading figure in the field of harmonic analysis.

Wolf Prize

Elias Menachem Stein was awarded a Wolf Prize for Mathematics in $\text {1999}$:

For his contributions to classical and Euclidean Fourier analysis and for his exceptional impact on a new generation of analysts through his eloquent teaching and writing.

Nationality

American of Belgian origin

History

• Born: 13 January 1931 in Antwerp, Belgium
• Died: 23 December 2018 in Somerville, New Jersey, U.S.

Theorems and Definitions

• Stein Maximal Principle
• Stein Complementary Series Representation
• Nikishin-Pisier-Stein Factorization
• Tomas-Stein Restriction Theorem
• Kunze-Stein Phenomenon
• Cotlar-Stein Lemma (with Mischa Cotlar)
• Stein-Strömberg Theorem (with Jan-Olov Strömberg)

• Stein Interpolation
• Fefferman-Stein Theory (with Charles Louis Fefferman)

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Results named for Elias Menachem Stein can be found here.

Definitions of concepts named for Elias Menachem Stein can be found here.

Publications

• 1955: Linear Operators on $L^p$ Spaces
• 1970: Singular Integrals and Differentiability Properties of Functions
• 1970: Topics in Harmonic Analysis Related to the Littlewood-Paley Theory
• 1971: Some maximal inequalities (American Journal of Mathematics Vol. 93, no. 1: pp. 107 – 115) (with C. Fefferman)  www.jstor.org/stable/2373450
• 1971: Introduction to Fourier Analysis on Euclidean Spaces (with Guido Weiss)
• 1971: Analytic Continuation of Group Representations
• 1972: $H^p$ spaces of several variables (Acta Mathematica Vol. 129: pp. 137 – 193) (with C. Fefferman)
• 1993: Harmonic Analysis: Real-variable Methods, Orthogonality and Oscillatory Integrals
• 2003: Fourier Analysis: An Introduction (with Rami Shakarchi)
• 2003: Complex Analysis (with Rami Shakarchi)
• 2005: Real Analysis: Measure Theory, Integration, and Hilbert Spaces (with Rami Shakarchi)
• 2011: Functional Analysis: An Introduction to Further Topics in Analysis (with Rami Shakarchi)

Sources

• John J. O'Connor and Edmund F. Robertson: "Elias Menachem Stein": MacTutor History of Mathematics archive