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Mathematics

D-Index
38
Citations
7732
World Ranking
2301
National Ranking
973

Research.com Recognitions

  • 2013 - Fellow of the American Mathematical Society

Overview

Stephen Wainger is a researcher affiliated with the University of Wisconsin-Madison in the United States. Their primary field of study is mathematics, with a focus on subfields such as mathematical physics, algebra and number theory, and applied mathematics.

The main topics of their work include advanced mathematical theories, advanced harmonic analysis research, mathematical and theoretical analysis, analytic number theory research, advanced mathematical identities, and advanced algebra and geometry.

Stephen Wainger's recent papers reflect this focus, including:

  • "Analysis and applications: The mathematical work of Elias Stein" (2020) published in the Bulletin of the American Mathematical Society
  • "An Introduction to the Circle Method of Hardy, Littlewood, and Ramanujan" (2021) published in the Journal of Geometric Analysis
  • "Elias M. Stein (1931-2018)" (2021) published in the Notices of the American Mathematical Society

Frequent coauthors in Wainger's work include Charles Fefferman, Terence Tao, Alex Ionescu, Lillian B. Pierce, and William Beckner.

Wainger has published in respected mathematical venues such as the Bulletin of the American Mathematical Society, the Journal of Geometric Analysis, and the Notices of the American Mathematical Society.

Among their recognitions, Stephen Wainger was named a Fellow of the American Mathematical Society in 2013.

Best Publications

  • Balls and metrics defined by vector fields I: Basic properties

    Alexander Nagel;Elias M. Stein;Stephen Wainger

  • A note on limiting cases of sobolev embeddings and convolution inequalities

    Haim Brezis;Stephen Wainger

  • Problems in harmonic analysis related to curvature

    Elias M. Stein;Stephen Wainger

  • Functions of probability measures

    J. Chover;P. Ney;S. Wainger

  • Estimates for the Bergman and Szegö kernels in $\mathbf{C}^2$

    Alexander Nagel;Jean-Pierre Rosay;Elias M. Stein;Stephen Wainger

  • Mean convergence of expansions in Laguerre and Hermite series

    Richard Askey;Stephen Wainger

  • Special Trigonometric Series in K Dimensions

    Stephen Wainger

  • Convex hypersurfaces and Fourier transforms

    Joaquim Bruna;Alexander Nagel;Stephen Wainger

  • Degeneracy Properties of Subcritical Branching Processes

    J. Chover;P. Ney;S. Wainger

  • Singular and maximal Radon transforms: analysis and geometry

    Michael Christ;Alexander Nagel;Elias M. Stein;Stephen Wainger

  • Differentiation in lacunary directions

    A. Nagel;E. M. Stein;S. Wainger

  • Discrete analogues in harmonic analysis: Spherical averages

    Akos Magyar;Elias M. Stein;Stefan Wainger

  • A CONVOLUTION STRUCTURE FOR JACOBI SERIES.

    Richard Askey;Stephen Wainger

  • L^p boundedness of discrete singular Radon transforms

    Alexandru D. Ionescu;Stephen Wainger

  • OSCILLATORY INTEGRALS RELATED TO CARLESON'S THEOREM

    Elias M. Stein;Stephen Wainger

  • Discrete analogues in harmonic analysis, I: l 2 estimates for singular radon transforms

    Elias M. Stein;Stephen Wainger

  • Discrete analogues in harmonic analysis II: Fractional integration

    E. M. Stein;S. Wainger

  • The estimation of an integral arising in multiplier transformations

    Elias M. Stein;Stephen Wainger

  • Variants of the Wiener-Levy Theorem, with Applications to Stability Problems for Some Volterra Integral Equations

    Daniel F. Shea;Stephen Wainger

  • Boundary behavior of functions holomorphic in domains of finite type

    Alexander Nagel;Elias M. Stein;Stephen Wainger

  • Singular Integrals and Maximal Functions Associated to Surfaces of Revolution

    Weon-Ju Kim;Stephen Wainger;James Wright;Sarah Ziesler

  • On Hilbert transforms along curves

    Alexander Nagel;Nestor M. Riviere;Stephen Wainger

Frequent Co-Authors

Elias M. Stein
Elias M. Stein Princeton University
James D. Wright
James D. Wright Rutgers, The State University of New Jersey
Andreas Seeger
Andreas Seeger University of Wisconsin–Madison
Alexandru D. Ionescu
Alexandru D. Ionescu Princeton University
Charles Fefferman
Charles Fefferman Princeton University
Richard Askey
Richard Askey University of Wisconsin–Madison
Michael Christ
Michael Christ University of California, Berkeley
Terence Tao
Terence Tao University of California, Los Angeles
Carlos E. Kenig
Carlos E. Kenig University of Chicago
Christopher D. Sogge
Christopher D. Sogge Johns Hopkins University

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