H-Index & Metrics Top Publications

H-Index & Metrics

Discipline name H-index Citations Publications World Ranking National Ranking
Mathematics H-index 73 Citations 59,926 165 World Ranking 99 National Ranking 57

Research.com Recognitions

Awards & Achievements

2013 - Fellow of the American Mathematical Society

2001 - US President's National Medal of Science "For his contributions to mathematical analysis, especially harmonic analysis, partial differential equations, several complex variables, and representation theory.", Presented by President George W. Bush in a White House East Room ceremony on June 12, 2002.

1999 - Wolf Prize in Mathematics 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.

1998 - Fellow of the International Association for Computational Mechanics (IACM)

1998 - IACM Congress Medal (Gauss-Newton Medal)

1993 - Rolf Schock Prize for Mathematics

1984 - Fellow of John Simon Guggenheim Memorial Foundation

1976 - Fellow of John Simon Guggenheim Memorial Foundation

1974 - Member of the National Academy of Sciences

1961 - Fellow of Alfred P. Sloan Foundation

Overview

What is he best known for?

The fields of study he is best known for:

  • Mathematical analysis
  • Algebra
  • Pure mathematics

Elias M. Stein mainly focuses on Mathematical analysis, Pure mathematics, Algebra, Maximal function and Singular integral. His work in the fields of Analytic function, Harmonic measure and Harmonic function overlaps with other areas such as Pluriharmonic function. His work focuses on many connections between Pure mathematics and other disciplines, such as Fourier analysis, that overlap with his field of interest in Fourier series.

His work deals with themes such as Discrete mathematics, Infimum and supremum, Hardy space, Littlewood paley and Bounded function, which intersect with Maximal function. The various areas that he examines in his Hardy space study include Muckenhoupt weights, Carleson measure and Dyadic cubes. His Singular integral research incorporates elements of Multiplier, Volume integral, Hardy–Littlewood maximal function, Singular integral operators of convolution type and Subject.

His most cited work include:

  • Singular Integrals and Differentiability Properties of Functions. (9224 citations)
  • Harmonic Analysis: Real-Variable Methods, Orthogonality, and Oscillatory Integrals (5267 citations)
  • Introduction to Fourier Analysis on Euclidean Spaces. (4606 citations)

What are the main themes of his work throughout his whole career to date?

Pure mathematics, Mathematical analysis, Singular integral, Maximal function and Bounded function are his primary areas of study. His study in Discrete mathematics extends to Pure mathematics with its themes. Fourier integral operator, Harmonic analysis, Oscillatory integral operator, Oscillatory integral and Harmonic function are the primary areas of interest in his Mathematical analysis study.

His Singular integral study integrates concerns from other disciplines, such as Several complex variables, Singular integral operators of convolution type, Volume integral and Product. His studies deal with areas such as Smoothness, Holomorphic function, Kernel and Combinatorics as well as Bounded function. As part of one scientific family, Elias M. Stein deals mainly with the area of Smoothness, narrowing it down to issues related to the Convexity, and often Cauchy distribution and Counterexample.

He most often published in these fields:

  • Pure mathematics (38.71%)
  • Mathematical analysis (40.09%)
  • Singular integral (17.51%)

What were the highlights of his more recent work (between 2012-2020)?

  • Pure mathematics (38.71%)
  • Bounded function (12.90%)
  • Convexity (5.07%)

In recent papers he was focusing on the following fields of study:

His primary areas of study are Pure mathematics, Bounded function, Convexity, Type and Cauchy distribution. His work on Invariant, Operator theory and Holomorphic function as part of general Pure mathematics study is frequently linked to Jump, bridging the gap between disciplines. His Convexity research includes themes of Discrete mathematics and Counterexample.

To a larger extent, Elias M. Stein studies Mathematical analysis with the aim of understanding Smoothness. His research on Mathematical analysis often connects related topics like Product. His Singular integral research focuses on Maximal function and how it connects with Pointwise and Extension.

Between 2012 and 2020, his most popular works were:

  • Boundary Behavior of Holomorphic Functions of Several Complex Variables. (266 citations)
  • Cauchy-type integrals in several complex variables (40 citations)
  • ll ^p\left( \mathbb {Z}^d ight) -estimates for discrete operators of Radon type: variational estimates (27 citations)

In his most recent research, the most cited papers focused on:

  • Mathematical analysis
  • Algebra
  • Pure mathematics

Elias M. Stein focuses on Pure mathematics, Singular integral, Mathematical analysis, Bounded function and Cauchy's integral formula. His research integrates issues of Dimension, Variational inequality and Regular polygon in his study of Pure mathematics. Elias M. Stein connects Singular integral with Radon in his research.

A majority of his Radon research is a blend of other scientific areas, such as Maximal function and Range. His Maximal function study combines topics from a wide range of disciplines, such as Ergodic theory, Discrete mathematics, Pointwise and Extension. His Mathematical analysis research incorporates themes from Function, Kernel and Product.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Top Publications

Singular Integrals and Differentiability Properties of Functions.

Elias M. Stein.
(1971)

15361 Citations

Introduction to Fourier Analysis on Euclidean Spaces.

Elias M. Stein;Guido L. Weiss.
(1971)

7909 Citations

Harmonic Analysis: Real-Variable Methods, Orthogonality, and Oscillatory Integrals

Elias Menachem Stein;Timothy S Murphy.
(1993)

7737 Citations

H p spaces of several variables

C. Fefferman;C. Fefferman;E. M. Stein;E. M. Stein.
Acta Mathematica (1972)

3590 Citations

Stock Price Distributions with Stochastic Volatility: An Analytic Approach

Elias M. Stein;Jeremy C. Stein.
Review of Financial Studies (1991)

1972 Citations

Hardy spaces on homogeneous groups

Gerald B. Folland;Elias M. Stein.
(1982)

1653 Citations

Topics in Harmonic Analysis Related to the Littlewood-Paley Theory.

Elias M. Stein.
(1970)

1247 Citations

Hypoelliptic differential operators and nilpotent groups

Linda Preiss Rothschild;E. M. Stein.
Acta Mathematica (1976)

1224 Citations

Some Maximal Inequalities

C. Fefferman;E. M. Stein.
American Journal of Mathematics (1971)

1188 Citations

Balls and metrics defined by vector fields I: Basic properties

Alexander Nagel;Elias M. Stein;Stephen Wainger.
Acta Mathematica (1985)

994 Citations

Profile was last updated on December 6th, 2021.
Research.com Ranking is based on data retrieved from the Microsoft Academic Graph (MAG).
The ranking h-index is inferred from publications deemed to belong to the considered discipline.

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