# Mathematician:Elias Menachem Stein

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## 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)

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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)