Stephen Wainger

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All published works

Action	Title	Year	Authors
+	An Introduction to the Circle Method of Hardy, Littlewood, and Ramanujan	2021	Stephen Wainger
+	Hilbert Transforms and Maximal Functions Along Variable Flat Plane Curves	2020	Anthony Carbery Stephen Wainger James Wright
+ PDF	Analysis and applications: The mathematical work of Elias Stein	2020	Charles Fefferman Alex Ionescu Terence Tao Stephen Wainger
+	Algebras of Singular Integral Operators with Kernels Controlled by Multiple Norms	2018	Alexander Nagel Fulvio Ricci Elias Stein Stephen Wainger
+	CURVES, DILATIONS, AND DIFFERENTIAL EQUATIONS	2016	Anthony Carbery James Vance Stephen Wainger David Watson
+	Algebras of singular integral operators with kernels controlled by multiple norms	2015	Alexander Nagel Fulvio Ricci Elias M. Stein Stephen Wainger
+	Algebras of singular integral operators with kernels controlled by multiple norms	2015	Alexander Nagel Fulvio Ricci Elias M. Stein Stephen Wainger
+	Chapter Seven. Averages along Polynomial Sequences in Discrete Nilpotent Lie Groups: Singular Radon Transforms	2014	Alexandru D. Ionescu Ákos Magyar Stephen Wainger
+	Advances in Analysis	2014	Charles Fefferman Alexandru D. Ionescu D.H. Phong Stephen Wainger
+	Averages along Polynomial Sequences in Discrete Nilpotent Lie Groups: Singular Radon Transforms	2014	Alexandru D. Ionescu Ákos Magyar Stephen Wainger
+ PDF	Singular integrals with flag kernels on homogeneous groups, I	2012	Alexander Nagel Fulvio Ricci Elias M. Stein Stephen Wainger
+	Averages along polynomial sequences in discrete nilpotent groups: singular Radon transforms	2012	Alexandru D. Ionescu Ákos Magyar Stephen Wainger
+	Singular Integrals with Flag Kernels on Homogeneous Groups: I	2011	Alexander Nagel Fulvio Ricci Elias M. Stein Stephen Wainger
+	Singular Integrals with Flag Kernels on Homogeneous Groups: I	2011	Alexander Nagel Fulvio Ricci Elias M. Stein Stephen Wainger
+ PDF	The Bergman and Szegő kernels near points of infinite type	2010	Jennifer Halfpap Alexander Nagel Stephen Wainger
+ PDF	Triple Hilbert transforms along polynomial surfaces in $\mathbb{R}^4$	2009	Anthony Carbery Stephen Wainger James Wright
+	Maximal operators associated to discrete subgroups of nilpotent Lie groups	2007	Ákos Magyar Elias M. Stein Stephen Wainger
+ PDF	Discrete Radon transforms and applications to ergodic theory	2007	Alexandru D. Ionescu Elias M. Stein Ákos Magyar Stephen Wainger
+	Singular integrals and the Newton diagram	2006	Anthony Carbery Stephen Wainger James Wright
+	A maximal function on the discrete Heisenberg group with applications to ergodic theory	2006	Stephen Wainger
+ PDF	$L^p$ boundedness of discrete singular Radon transforms	2005	Alexandru D. Ionescu Stephen Wainger
+ PDF	Singular integral and maximal operators associated to hypersurfaces:L p theory	2005	Andreas Seeger Stephen Wainger James Wright Sarah Ziesler
+ PDF	Singular Radon transforms and maximal functions under convexity assumptions	2003	Andreas Seeger Stephen Wainger
+	Bounds for singular fractional integrals and related Fourier integral operators	2003	Andreas Seeger Stephen Wainger
+	Two discrete fractional integral operators revisited	2002	Elias M. Stein Stephen Wainger
+	Bounds for singular fractional integrals and related Fourier integral operators	2002	Andreas Seeger Stephen Wainger
+	Singular Radon transforms and maximal functions under convexity assumptions	2002	Andreas Seeger Stephen Wainger
+ PDF Chat	Discrete Analogues in Harmonic Analysis: Spherical Averages	2002	Ákos Magyar E. M. Stein Stephen Wainger
+	Bounds for singular fractional integrals and related Fourier integral operators	2002	Andreas Seeger Stephen Wainger
+	Singular Radon transforms and maximal functions under convexity assumptions	2002	Andreas Seeger Stephen Wainger
+ PDF	Oscillatory integrals related to Carleson’s theorem	2001	Elias M. Stein Stephen Wainger
+	Discrete analogues in harmonic analysis II: Fractional integration	2000	E. M. Stein Stephen Wainger
+	Double Hilbert transforms along polynomial surfaces in ℝ3	2000	Anthony Carbery Stephen Wainger James Wright
+	Estimates for generalized Radon transforms in three and four dimensions	2000	Allan Greenleaf Andreas Seeger Stephen Wainger
+	Classes of singular integral operators along variable lines	1999	Anthony Carbery Andreas Seeger Stephen Wainger James Wright
+	Discrete analogues in harmonic analysis, I: ℓ 2 estimates for singular radon transforms	1999	Elias M. Stein Stephen Wainger
+ PDF Chat	Singular and Maximal Radon Transforms: Analysis and Geometry	1999	Michael Christ Alexander Nagel Elias M. Stein Stephen Wainger
+	Singular Integrals Associated to Hypersurfaces: L2 Theory	1999	Stephen Wainger James Wright Sarah Ziesler
+	Singular and maximal Radon transforms: Analysis and geometry	1999	Michael Christ Alexander Nagel Elias M. Stein Stephen Wainger
+ PDF	On X-ray transforms for rigid line complexes and integrals over curves in $\mathbb {R}^4$	1999	Allan Greenleaf Andreas Seeger Stephen Wainger
+	Classes of singular integrals along curves and surfaces	1999	Andreas Seeger Stephen Wainger James Wright Sarah Ziesler
+	Singular and maximal Radon transforms: Analysis and geometry	1999	Michael Christ Alexander Nagel Elias M. Stein Stephen Wainger
+	Discrete analogues of singular and maximal Radon transforms	1998	Stephen Wainger
+	Singular Integrals Associated to Hypersurfaces: $L^2$ Theory	1997	Stephen Wainger James Wright Sarah Ziesler
+ PDF Chat	Spherical Maximal Operators on Radial Functions	1997	Andreas Seeger Stephen Wainger James Wright
+	Singular Integrals Associated to Hypersurfaces: $L^2$ Theory	1997	Stephen Wainger James Wright Sarah Ziesler
+	Singular Integrals and Maximal Functions Associated to Surfaces of Revolution	1996	Weon-Ju Kim Stephen Wainger James Wright Sarah Ziesler
+	Spherical maximal operators on radial functions	1996	Andreas Seeger Stephen Wainger James Wright
+	Spherical maximal operators on radial functions	1996	Andreas Seeger Stephen Wainger James Wright
+	Essays on Fourier Analysis in Honor of Elias M. Stein (PMS-42)	1995	Charles Fefferman Robert Fefferman Stephen Wainger
+	A Variant of the Notion of a Space of Homogeneous Type	1995	Anthony Carbery James Vance Stephen Wainger James Wright
+	Pointwise convergence of spherical means	1995	Andreas Seeger Stephen Wainger James Wright
+ PDF	<i>L</i><sup><i>p</i></sup>estimates for operators associated to flat curves without the Fourier transform	1995	Anthony Carbery James Vance Stephen Wainger David Watson James Wright
+ PDF	Hilbert transforms and maximal functions associated to flat curves on the Heisenberg group	1995	Anthony Carbery Stephen Wainger James Wright
+ PDF	Hilbert Transforms and Maximal Functions Associated to Flat Curves on the Heisenberg Group	1995	Anthony Carbery Stephen Wainger James Wright
+	Essays on Fourier analysis in honor of Elias M. Stein	1995	Elias M. Stein Charles Fefferman Robert Fefferman Stephen Wainger
+	The Hilbert Transform and Maximal Function Along Flat Curves, Dilations, and Differential Equations	1994	Anthony Carbery James Vance Stephen Wainger David Watson
+ PDF	The Hilbert transform and maximal function along nonconvex curves in the plane	1994	James Vance Stephen Wainger James Wright
+	Averages Over Convex Hypersurfaces	1993	Alexander Nagel Andreas Seeger Stephen Wainger
+	None	1993	Anthony Carbery Stephen Wainger James Wright
+ PDF	Dilations associated to flat curves	1991	Stephen Wainger
+ PDF	Discrete analogues of singular Radon transforms	1990	E. M. Stein Stephen Wainger
+	Operators associated to flat plane curves: Lp estimates via dilation methods	1989	Anthony Carbery Michael Christ James Vance Stephen Wainger David K. Watson
+	Fourier Transforms of Surface Area Measure on Convex Surfaces in R 3	1989	Jong-Guk Bak David Mcmichael James Vance Stephen Wainger
+	Problems in harmonic analysis related to curves and surfaces with infinitely flat points	1989	Stephen Wainger
+	Estimates for the Bergman and Szego Kernels in C 2	1989	Alexander Nagel Jean Pierre Rosay E. M. Stein Stephen Wainger
+	Convex Hypersurfaces and Fourier Transforms	1988	Joaquim Bruna Alexander Nagel Stephen Wainger
+ PDF	Estimates for the Bergman and Szegö kernels in certain weakly pseudoconvex domains	1988	Alexander Nagel Jean-Pierre Rosay Elias M. Stein Stephen Wainger
+	The Hilbert Transform for Convex Curves in R n	1986	Alexander Nagel James Vance Stephen Wainger David A. Weinberg
+	L p bounds for Hilbert transforms along convex curves	1986	Antonio Córdoba Alexander Nagel James Vance Stephen Wainger David A. Weinberg
+ PDF	𝐿^{𝑝} estimates for maximal functions and Hilbert transforms along flat convex curves in 𝐑²	1986	Hasse Carlsson Michael Christ Antonio Córdoba Javier Duoandikoetxea José L. Rubio de Francia James Vance Stephen Wainger David A. Weinberg
+	Maximal functions for convex curves	1985	Alexander Nagel James Vance Stephen Wainger David A. Weinberg
+	Balls Defined by Vector Fields	1985	Stephen Wainger
+ PDF	Balls and metrics defined by vector fields I: Basic properties	1985	Alexander Nagel Elias M. Stein Stephen Wainger
+	On the multi-dimensional renewal theorem	1984	Hasse Carlsson Stephen Wainger
+	Hilbert transforms for convex curves	1983	Alexander Nagel James Vance Stephen Wainger David A. Weinberg
+	An application of Lp estimates to scattering theory	1983	Walter A. Strauss Stephen Wainger
+	An asymptotic series expansion of the multidimensional renewal measure	1982	Hasse Carlsson Stephen Wainger
+	LIMITS OF BOUNDED HOLOMORPHIC FUNCTIONS ALONG CURVES	1981	Alexander Nagel Stephen Wainger
+ PDF	Boundary behavior of functions holomorphic in domains of finite type	1981	Alexander Nagel Elias M. Stein Stephen Wainger
+ PDF	Growth problems for a class of entire functions via singular integral estimates	1981	Daniel F. Shea Stephen Wainger
+	A note on limiting cases of sobolev embeddings and convolution inequalities	1980	Haı̈m Brezis Stephen Wainger
+ PDF	Growth problems for a class of entire functions via singular integral estimates	1979	Daniel F. Shea Stephen Wainger
+	Hilbert transforms and maximal functions related to variable curves	1979	Alexander Nagel Elias M. Stein Stephen Wainger
+	Estimates from 𝐿^{𝑝} to its dual for the Klein-Gordon equation	1979	Bernard Marshall Walter A. Strauss Stephen Wainger
+ PDF	Differentiation in lacunary directions	1978	Alexander Nagel E. M. Stein Stephen Wainger
+ PDF	Problems in harmonic analysis related to curvature	1978	Elias M. Stein Stephen Wainger
+	L 2 Boundedness of Hilbert Transforms Along Surfaces and Convolution Operators Homogeneous with Respect to a Multiple Parameter Group	1977	Alexander Nagel Stephen Wainger
+	Maximal functions associated to smooth curves	1976	E. M. Stein Stephen Wainger
+ PDF	Hilbert Transforms Associated With Plane Curves	1976	Alexander Nagel Stephen Wainger
+	A maximal function associated to the curve ( <i>t, t</i> <sup>2</sup> )	1976	Alexander Nagel N. M. Rivière Stephen Wainger
+ PDF	Hilbert transforms associated with plane curves	1976	Alexander Nagel Stephen Wainger
+	On Hilbert Transforms Along Curves. II	1976	Alexander Nagel N. M. Rivière Stephen Wainger
+	Variants of the Wiener-Levy Theorem, with Applications to Stability Problems for Some Volterra Integral Equations	1975	Daniel F. Shea Stephen Wainger
+ PDF	On Hilbert transforms along curves	1974	Alexander Nagel N. M. Rivière Stephen Wainger
+	Functions of probability measures	1973	Joshua Chover Peter Ney Stephen Wainger
+ PDF	The Nonexistence of the Yaglom Limit for An Age Dependent Subcritical Branching Process	1973	Thomas G. Kurtz Stephen Wainger
+ PDF	Degeneracy Properties of Subcritical Branching Processes	1973	Joshua Chover Peter Ney Stephen Wainger
+ PDF	The renewal theorem for random walk in two-dimensional time	1972	Peter Ney Stephen Wainger
+ PDF	On Vinogradov's estimate of trigonometric sums and the Goldbach-Vinogradov theorem	1971	Stephen Wainger
+ PDF	The estimation of an integral arising in multiplier transformations	1970	Elias Stein Stephen Wainger
+	A Convolution Structure for Jacobi Series	1969	Richard Askey Stephen Wainger
+ PDF	A problem of Wiener and the failure of a principle for Fourier series with positive coefficients	1969	Stephen Wainger
+ PDF	A Problem of Wiener and the Failure of a Principle for Fourier Series with positive Coefficients	1969	Stephen Wainger
+ PDF	A transplantation theorem for ultraspherical coefficients	1966	Richard Askey Stephen Wainger
+	Integrability theorems for Fourier series	1966	Richard Askey Stephen Wainger
+	On the behavior of special classes of ultraspherical expansions-I	1965	Richard Askey Stephen Wainger
+	On the behaviour of special classes of ultraspherical expansions-II	1965	Richard Askey Stephen Wainger
+	Analytic properties of expansions, and some variants of Parseval-Plancherel formulas	1965	E. M. Stein Stephen Wainger
+	Mean Convergence of Expansions in Laguerre and Hermite Series	1965	Richard Askey Stephen Wainger
+	Special trigonometric series in 𝑘-dimensions	1965	Stephen Wainger

Common Coauthors

Coauthor	Papers Together
Alexander Nagel	29
James Wright	21
Elias M. Stein	19
Andreas Seeger	16
Anthony Carbery	13
James Vance	12
E. M. Stein	7
Sarah Ziesler	6
Richard Askey	6
Fulvio Ricci	6
Ákos Magyar	6
Alexandru D. Ionescu	6
David A. Weinberg	5
Michael Christ	5
Charles Fefferman	4
Peter Ney	3
N. M. Rivière	3
David Watson	3
Hasse Carlsson	3
Daniel F. Shea	3
Joshua Chover	2
Antonio Córdoba	2
Allan Greenleaf	2
Robert Fefferman	2
Walter A. Strauss	2
Elias Stein	2
Bernard Marshall	1
José L. Rubio de Francia	1
Terence Tao	1
David K. Watson	1
Jennifer Halfpap	1
Weon-Ju Kim	1
Haı̈m Brezis	1
Alex Ionescu	1
Jean-Pierre Rosay	1
Jean Pierre Rosay	1
D.H. Phong	1
Jong-Guk Bak	1
Joaquim Bruna	1
Thomas G. Kurtz	1
Javier Duoandikoetxea	1
David Mcmichael	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF	Problems in harmonic analysis related to curvature	1978	Elias M. Stein Stephen Wainger	20
+	Singular Integrals and Differentiability Properties of Functions.	1971	Elias M. Stein	18
+	Harmonic Analysis: Real-variable Methods, Orthogonality, and Oscillatory Integrals	2002	Elias M. Stein Timothy S Murphy	16
+	Introduction to Fourier Analysis on Euclidean Spaces.	1971	Elias M. Stein Guido Weiss	16
+	Hilbert transforms for convex curves	1983	Alexander Nagel James Vance Stephen Wainger David A. Weinberg	14
+ PDF	Differentiation in lacunary directions	1978	Alexander Nagel E. M. Stein Stephen Wainger	12
+ PDF	𝐿^{𝑝} estimates for maximal functions and Hilbert transforms along flat convex curves in 𝐑²	1986	Hasse Carlsson Michael Christ Antonio Córdoba Javier Duoandikoetxea José L. Rubio de Francia James Vance Stephen Wainger David A. Weinberg	11
+	Hilbert Transforms Along Curves: I. Nilpotent Groups	1985	Michael Christ	11
+	Hilbert transforms along curves, II: A flat case	1985	Michael Christ	9
+	Hilbert transforms and maximal functions related to variable curves	1979	Alexander Nagel Elias M. Stein Stephen Wainger	9
+ PDF	Hilbert integrals, singular integrals, and Radon transforms I	1986	D. H. Phong E. M. Stein	9
+	On the maximal ergodic theorem for certain subsets of the integers	1988	Jean Bourgain	9
+ PDF	Discrete analogues of singular Radon transforms	1990	E. M. Stein Stephen Wainger	9
+	Harmonic analysis on nilpotent groups and singular integrals. II. Singular kernels supported on submanifolds	1988	Fulvio Ricci Elias M. Stein	9
+	Operators associated to flat plane curves: Lp estimates via dilation methods	1989	Anthony Carbery Michael Christ James Vance Stephen Wainger David K. Watson	8
+ PDF Chat	Singular and Maximal Radon Transforms: Analysis and Geometry	1999	Michael Christ Alexander Nagel Elias M. Stein Stephen Wainger	8
+	ON A SPECIAL TRIGONOMETRIC SERIES AND ITS APPLICATIONS	1989	Геннадий Иванович Архипов К. И. Осколков	7
+	Harmonic analysis on nilpotent groups and singular integrals I. Oscillatory integrals	1987	Fulvio Ricci E. M. Stein	7
+ PDF	Hilbert transforms associated with plane curves	1976	Alexander Nagel Stephen Wainger	7
+ PDF	Singular integrals and maximal functions associated with highly monotone curves	1981	W. C. Nestlerode	7
+	Discrete analogues in harmonic analysis, I: ℓ 2 estimates for singular radon transforms	1999	Elias M. Stein Stephen Wainger	7
+	Estimates for singular radon transforms and pseudodifferential operators with singular symbols	1990	Allan Greenleaf Günther Uhlmann	7
+	The Hilbert Transform for Convex Curves in R n	1986	Alexander Nagel James Vance Stephen Wainger David A. Weinberg	7
+ PDF	Pointwise ergodic theorems for arithmetic sets	1989	Jean Bourgain	7
+	Maximal functions for convex curves	1985	Alexander Nagel James Vance Stephen Wainger David A. Weinberg	7
+	Maximal functions: Spherical means	1976	Elias M. Stein	6
+ PDF	Boundary behavior of functions holomorphic in domains of finite type	1981	Alexander Nagel Elias M. Stein Stephen Wainger	6
+ PDF	Hypoelliptic differential operators and nilpotent groups	1976	Linda Preiss Rothschild E. M. Stein	6
+	Harmonic analysis on nilpotent groups and singular integrals. III. Fractional integration along manifolds	1989	Fulvio Ricci Elias M. Stein	6
+	Convex Hypersurfaces and Fourier Transforms	1988	Joaquim Bruna Alexander Nagel Stephen Wainger	6
+	Maximal and singular integral operators via Fourier transform estimates	1986	Javier Duoandikoetxea J.-L. Rubio de Francia	5
+	On the pointwise ergodic theorem onL p for arithmetic sets	1988	Jean Bourgain	5
+	Maximal functions: Homogeneous curves	1976	Elias M. Stein	5
+ PDF	Two discrete fractional integrals	2001	Daniel M. Oberlin	5
+	Averages in the plane over convex curves and maximal operators	1986	Jean Bourgain	5
+ PDF	The estimation of an integral arising in multiplier transformations	1970	Elias Stein Stephen Wainger	5
+ PDF	Singular integrals and multiplier operators	1971	N. M. Rivière	5
+	L 2 Boundedness of Hilbert Transforms Along Surfaces and Convolution Operators Homogeneous with Respect to a Multiple Parameter Group	1977	Alexander Nagel Stephen Wainger	5
+ PDF	The Hilbert transform and maximal function for approximately homogeneous curves	1981	David A. Weinberg	5
+	On Hilbert Transforms Along Curves. II	1976	Alexander Nagel N. M. Rivière Stephen Wainger	5
+ PDF	$L^p$ boundedness of discrete singular Radon transforms	2005	Alexandru D. Ionescu Stephen Wainger	4
+	Singular Radon transforms and oscillatory integrals	1989	D. H. Phong E. M. Stein	4
+	Two discrete fractional integral operators revisited	2002	Elias M. Stein Stephen Wainger	4
+	Estimates for singular convolution operators on the Heisenberg group	1984	Daryl Geller E. M. Stein	4
+	A nilpotent Roth theorem	2002	Vitaly Bergelson A. Leibman	4
+ PDF	A restriction theorem for the Fourier transform	1975	Peter A. Tomas	4
+	Discrete analogues in harmonic analysis II: Fractional integration	2000	E. M. Stein Stephen Wainger	4
+ PDF	Hypoelliptic second order differential equations	1967	Lars Hörmander	4
+ PDF	On Hilbert transforms along curves	1974	Alexander Nagel N. M. Rivière Stephen Wainger	4
+	Estimates for the \documentclass{article}\pagestyle{empty}\begin{document}$ \mathop \partial \limits^ - _b $\end{document} complex and analysis on the heisenberg group	1974	Gerald B. Folland E. M. Stein	4