## Wainger, Stephen

Compute Distance To:
 Author ID: wainger.stephen Published as: Wainger, Stephen; Wainger, S. External Links: MGP · GND
 Documents Indexed: 97 Publications since 1965, including 2 Books 6 Contributions as Editor · 1 Further Contribution Co-Authors: 41 Co-Authors with 91 Joint Publications 898 Co-Co-Authors
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### Co-Authors

 13 single-authored 24 Nagel, Alexander 21 Stein, Elias Menachem 15 Wright, James Robert 12 Carbery, Anthony 12 Vance, James Thomas jun. 10 Seeger, Andreas 7 Askey, Richard Allen 6 Ionescu, Alexandru D. 5 Fefferman, Charles Louis 5 Magyar, Akos 5 Weinberg, David Arthur 4 Carlsson, Hasse 4 Phong, Duong Hong 4 Ricci, Fulvio 4 Watson, David K. 4 Ziesler, Sarah N. 3 Christ, Michael 3 Ney, Peter E. 3 Riviere, Nestor M. 3 Shea, Daniel F. 3 Strauss, Walter Alexander 3 Weiss, Guido Leopold 2 Chover, Joshua 2 Córdoba Barba, Antonio Juan 2 Greenleaf, Allan 2 Lanzani, Loredana 2 Pierce, Lillian B. 2 Rosay, Jean-Pierre 2 Sogge, Christopher D. 2 Tao, Terence 1 Bak, Jong-Guk 1 Beckner, William 1 Brézis, Haïm 1 Brooks, Jennifer 1 Bruna Floris, Joaquim 1 Dafni, Galia 1 Duoandikoetxea, Javier 1 Fefferman, Robert A. 1 Ionescu, Alex 1 Kearn, Vickie 1 Kenig, Carlos Eduardo 1 Kim, Weon-Ju 1 Knapp, Anthony William 1 Krantz, Steven George 1 Kurtz, Thomas Gordon 1 Marshall, Bernard 1 McMichael, David 1 Mirek, Mariusz 1 Rothschild, Linda Preiss 1 Rubio de Francia, José Luis 1 Shakarchi, Rami 1 Stein, Jeremy C. 1 Stein, Karen 1 Stone, Charles Joel 1 Street, Brian 1 Widom, Harold 1 Wrigth, James
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### Serials

 10 American Journal of Mathematics 6 Journal d’Analyse Mathématique 5 Duke Mathematical Journal 4 Revista Matemática Iberoamericana 4 Proceedings of the National Academy of Sciences of the United States of America 4 Bulletin of the American Mathematical Society. New Series 4 Annals of Mathematics. Second Series 3 Journal of Functional Analysis 3 Pacific Journal of Mathematics 3 The Journal of Geometric Analysis 3 Proceedings of Symposia in Pure Mathematics 2 Studia Mathematica 2 Acta Mathematica 2 The Annals of Probability 2 Illinois Journal of Mathematics 2 Memoirs of the American Mathematical Society 2 Proceedings of the American Mathematical Society 2 Transactions of the American Mathematical Society 2 Journal of the American Mathematical Society 2 Bulletin of the American Mathematical Society 2 Princeton Mathematical Series 1 Journal of Mathematical Analysis and Applications 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Arkiv för Matematik 1 Bulletin of the London Mathematical Society 1 Collectanea Mathematica 1 Compositio Mathematica 1 Indiana University Mathematics Journal 1 Inventiones Mathematicae 1 Mathematische Nachrichten 1 Publicacions Matemàtiques 1 IMRN. International Mathematics Research Notices 1 Communications in Partial Differential Equations 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Notices of the American Mathematical Society 1 Mathematical Research Letters 1 The Journal of Fourier Analysis and Applications 1 Documenta Mathematica 1 Bulletin de la Société Mathématique de France. Supplément. Mémoires
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### Fields

 62 Harmonic analysis on Euclidean spaces (42-XX) 28 Integral transforms, operational calculus (44-XX) 16 Abstract harmonic analysis (43-XX) 12 Partial differential equations (35-XX) 9 Several complex variables and analytic spaces (32-XX) 9 Operator theory (47-XX) 8 Probability theory and stochastic processes (60-XX) 6 General and overarching topics; collections (00-XX) 6 Number theory (11-XX) 4 Topological groups, Lie groups (22-XX) 3 Functions of a complex variable (30-XX) 3 Functional analysis (46-XX) 2 History and biography (01-XX) 2 Real functions (26-XX) 2 Measure and integration (28-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Difference and functional equations (39-XX) 2 Differential geometry (53-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Group theory and generalizations (20-XX) 1 Integral equations (45-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Convex and discrete geometry (52-XX) 1 Numerical analysis (65-XX)

### Citations contained in zbMATH Open

88 Publications have been cited 2,706 times in 1,937 Documents Cited by Year
Balls and metrics defined by vector fields. I: Basic properties. Zbl 0578.32044
Nagel, Alexander; Stein, Elias M.; Wainger, Stephen
1985
A note on limiting cases of Sobolev embeddings and convolution inequalities. Zbl 0437.35071
Brézis, Haïm; Wainger, Stephen
1980
Problems in harmonic analysis related to curvature. Zbl 0393.42010
Stein, Elias M.; Wainger, Stephen
1978
Functions of probability measures. Zbl 0276.60018
Chover, J.; Ney, P.; Wainger, S.
1973
Estimates for the Bergman and Szegö kernels in $${\mathbb{C}}^ 2$$. Zbl 0667.32016
Nagel, Alexander; Rosay, J. P.; Stein, Elias M.; Wainger, S.
1989
Special trigonometric series in k-dimensions. Zbl 0136.36601
Wainger, S.
1965
Mean convergence of expansions in Laguerre und Hermite series. Zbl 0125.31301
Askey, R.; Wainger, S.
1965
Degeneracy properties of subcritical branching processes. Zbl 0387.60097
Chover, J.; Ney, P.; Wainger, S.
1973
Singular and maximal Radon transforms: Analysis and geometry. Zbl 0960.44001
Christ, Michael; Nagel, Alexander; Stein, Elias M.; Wainger, Stephen
1999
$$L^p-L^q$$ estimates for the Klein-Gordon equation. Zbl 0457.47040
Marshall, Bernard; Strauss, Walter; Wainger, Stephen
1980
Convex hypersurfaces and Fourier transforms. Zbl 0666.42010
Bruna, Joaquim; Nagel, Alexander; Wainger, Stephen
1988
Discrete analogues in harmonic analysis: spherical averages. Zbl 1036.42018
Magyar, Ákos; Stein, Elias M.; Wainger, Stephen
2002
Differentiation in lacunary directions. Zbl 0391.42015
Nagel, Alexander; Stein, Elias M.; Wainger, Stephen
1978
A convolution structure for Jacobi series. Zbl 0186.12303
Askey, R.; Wainger, S.
1969
Hilbert transforms for convex curves. Zbl 0524.44001
Nagel, Alexander; Vance, James; Wainger, Stephen; Weinberg, David
1983
Operators associated to flat plane curves: $$L^ p$$ estimates via dilation methods. Zbl 0723.44006
Carbery, Anthony; Christ, Michael; Vance, James; Wainger, Stephen; Watson, David K.
1989
Variants of the Wiener-Levy theorem, with applications to stability problems for some Volterra integral equations. Zbl 0318.45016
Shea, Daniel F.; Wainger, Stephen
1975
Discrete analogues in harmonic analysis. I: $$\ell^2$$ estimates for singular Radon transforms. Zbl 0945.42009
Stein, Elias M.; Wainger, Stephen
1999
Singular integrals and maximal functions associated to surfaces of revolution. Zbl 0893.42004
Kim, Weon-Ju; Wainger, Stephen; Wright, James; Ziesler, Sarah
1996
Boundary behavior of functions holomorphic in domains of finite type (area integrals/maximal functions/pseudometrics). Zbl 0517.32002
Nagel, Alexander; Stein, Elias M.; Wainger, Stephen
1981
On Hilbert transforms along curves. II. Zbl 0334.44012
Nagel, Alexander; Riviere, Nestor M.; Wainger, Stephen
1976
Classes of singular integral operators along variable lines. Zbl 0964.42003
Carbery, Anthony; Seeger, Andreas; Wainger, Stephen; Wright, James
1999
$$L^ p$$ estimates for maximal functions and Hilbert transforms along flat convex curves in $$R^ 2$$. Zbl 0588.44007
Carlsson, Hasse; Christ, Michael; Cordoba, Antonio; Duoandikoetxea, Javier; Rubio de Francia, Jose L.; Vance, James; Wainger, Stephen; Weinberg, David
1986
$$L^p$$ boundedness of discrete singular Radon transforms. Zbl 1158.42007
Ionescu, Alexandru D.; Wainger, Stephen
2006
Integrability theorems for Fourier series. Zbl 0136.36501
Askey, R.; Wainger, S.
1966
Discrete analogues in harmonic analysis. II: Fractional integration. Zbl 0972.42010
Stein, Elias M.; Wainger, Stephen
2000
Oscillatory integrals related to Carleson’s theorem. Zbl 0998.42007
Stein, Elias M.; Wainger, Stephen
2001
Singular integrals with flag kernels on homogeneous groups, I. Zbl 1253.42009
Nagel, Alexander; Ricci, Fulvio; Stein, Elias M.; Wainger, Stephen
2012
On the behavior of special classes of ultraspherical expansions. I, II. Zbl 0132.29403
Askey, R.; Wainger, S.
1965
The estimation of an integral arising in multiplier transformations. Zbl 0202.12401
Stein, Elias M.; Wainger, Stephen
1970
Hilbert transforms associated with plane curves. Zbl 0341.44005
Nagel, Alexander; Wainger, Stephen
1976
Averages over convex hypersurfaces. Zbl 0832.42010
Nagel, Alexander; Seeger, Andreas; Wainger, Stephen
1993
Discrete analogues of singular Radon transforms. Zbl 0718.42015
Stein, Elias M.; Wainger, S.
1990
$$L^2$$-boundedness of Hilbert transforms along surfaces and convolution operators homogeneous with respect to a multiple parameter group. Zbl 0374.44003
Nagel, Alexander; Wainger, Stephen
1977
Two discrete fractional integral operators revisited. Zbl 1029.39016
Stein, Elias M.; Wainger, Stephen
2002
On X-ray transforms for rigid line complexes and integrals over curves in $$\mathbb{R}^4$$. Zbl 0934.44003
Greenleaf, Allan; Seeger, Andreas; Wainger, Stephen
1999
A transplantation theorem between ultraspherical series. Zbl 0135.27603
Askey, R.; Wainger, S.
1966
A transplantation theorem for ultraspherical coefficients. Zbl 0136.37201
Askey, R.; Wainger, S.
1966
One-sided error estimates in renewal theory. Zbl 0187.41201
Stone, Charles; Wainger, Stephen
1967
Estimates for the Bergman and Szegö kernels in certain weakly pseudoconvex domains. Zbl 0642.32014
Nagel, Alexander; Rosay, Jean-Pierre; Stein, Elias M.; Wainger, Stephen
1988
Hilbert transforms and maximal functions related to variable curves. Zbl 0463.42008
Nagel, Alexander; Stein, Elias M.; Wainger, Stephen
1979
The Hilbert transform and maximal function along flat curves, dilations, and differential equations. Zbl 0816.42010
Carbery, Anthony; Vance, James; Wainger, Stephen; Watson, David
1994
Algebras of singular integral operators with kernels controlled by multiple norms. Zbl 1445.42001
Nagel, Alexander; Ricci, Fulvio; Stein, Elias M.; Wainger, Stephen
2018
On Hilbert transforms along curves. Zbl 0293.44002
Nagel, Alexander; Riviere, Nestor; Wainger, Stephen
1974
Maximal functions for convex curves. Zbl 0657.42018
Nagel, Alexander; Vance, James; Wainger, Stephen; Weinberg, David
1985
Discrete Radon transforms and applications to ergodic theory. Zbl 1139.42002
Ionescu, Alexandru D.; Stein, Elias M.; Magyar, Ákos; Wainger, Stephen
2007
Hilbert transforms and maximal functions along variable flat plane curves. Zbl 0886.42014
Carbery, A.; Wainger, S.; Wright, J.
1995
Estimates for generalized Radon transforms in three and four dimensions. Zbl 0963.44002
Greenleaf, Allan; Seeger, Andreas; Wainger, Stephen
2000
Pointwise convergence of spherical means. Zbl 0865.42015
Seeger, Andreas; Wainger, Stephen; Wright, James
1995
A dual convolution structure for Jacobi polynomials. Zbl 0174.36305
Askey, R.; Wainger, S.
1968
Maximal functions associated to smooth curves. Zbl 0348.42016
Stein, Elias M.; Wainger, Stephen
1976
Double Hilbert transforms along polynomial surfaces in $$\mathbb{R}^3$$. Zbl 0959.42006
Carbery, Anthony; Wainger, Stephen; Wright, James
2000
The Hilbert transform and maximal function along nonconvex curves in the plane. Zbl 0810.42011
Vance, James; Wainger, Stephen; Wright, James
1994
Analytic properties of expansions, and some variants of Parseval- Plancherel formulas. Zbl 0147.32902
Stein, Elias M.; Wainger, S.
1965
A maximal function associated to the curve $$(t,t^2)$$. Zbl 0325.43009
Nagel, Alexander; Riviere, Nestor; Wainger, Stephen
1976
The Bergman and Szegő kernels near points of infinite type. Zbl 1191.32002
Halfpap, Jennifer; Nagel, Alexander; Wainger, Stephen
2010
$$L^ p$$ bounds for Hilbert transforms along convex curves. Zbl 0641.42009
Cordoba, A.; Nagel, A.; Vance, J.; Wainger, S.; Weinberg, D.
1986
Singular integrals and the Newton diagram. Zbl 1213.42024
Carbery, Anthony; Wainger, Stephen; Wright, James
2006
Hilbert transforms and maximal functions associated to flat curves on the Heisenberg group. Zbl 0824.42013
Carbery, Anthony; Wainger, Stephen; Wright, James
1995
A problem of Wiener and the failure of a principle for Fourier series with positive coefficients. Zbl 0176.36801
Wainger, S.
1969
The renewal theorem for a random walk in two-dimensional time. Zbl 0239.60077
Ney, P.; Wainger, S.
1972
Classes of singular integrals along curves and surfaces. Zbl 0980.42010
Seeger, Andreas; Wainger, Stephen; Wright, James; Ziesler, Sarah
1999
Averages and singular integrals over lower dimensional sets. Zbl 0627.42006
Wainger, Stephen
1986
The Hilbert transform for convex curves in $$R^ n$$. Zbl 0589.42014
Nagel, Alexander; Vance, James; Wainger, Stephen; Weinberg, David
1986
Singular Radon transforms and maximal functions under convexity assumptions. Zbl 1071.42012
Seeger, Andreas; Wainger, Stephen
2003
Applications of Fourier transforms to averages over lower dimensional sets. Zbl 0415.42015
Wainger, Stephen
1979
Singular integrals associated to hypersurfaces: $$L^2$$ theory. Zbl 0942.42007
Wainger, Stephen; Wright, James; Ziesler, Sarah
1999
Maximal functions related to convex polygonal lines. Zbl 0587.42011
Carlsson, Hasse; Wainger, Stephen
1985
An asymptotic series expansion of the multidimensional renewal measure. Zbl 0502.60069
Carlsson, Hasse; Wainger, Stephen
1982
On the multi-dimensional renewal theorem. Zbl 0543.60085
Carlsson, Hasse; Wainger, Stephen
1984
A variant of the notion of a space of homogeneous type. Zbl 0912.42011
Carbery, Anthony; Vance, James; Wainger, Stephen; Wrigth, James
1995
Dilations associated to flat curves. Zbl 0738.43006
Wainger, Stephen
1991
Essays on Fourier analysis in honor of Elias M. Stein. Proceedings of the Princeton conference in harmonic analysis held at Princeton University, Princeton, NJ, May 13-17, 1991 in honor of Elias M. Stein’s sixtieth birthday. Zbl 0810.00019
1995
Singular integral and maximal operators associated to hypersurfaces: $$L^p$$ theory. Zbl 1088.42007
Seeger, Andreas; Wainger, Stephen; Wright, James; Ziesler, Sarah
2005
$$L^ p$$-estimates for operators associated to flat curves without the Fourier transform. Zbl 0830.42005
Carbery, Anthony; Vance, James; Wainger, Stephen; Watson, David; Wright, James
1995
Spherical maximal operators on radial functions. Zbl 0914.42013
Seeger, Andreas; Wainger, Stephen; Wright, James
1997
Fourier transforms of surface area measure on convex surfaces in $$R^ 3$$. Zbl 0687.49028
Bak, Jong-Guk; McMichael, David; Vance, James; Wainger, Stephen
1989
Harmonic analysis in Euclidean spaces. Proceedings of the symposium in pure mathematics of the American Mathematical Society, held at Williams College, Williamstown, Massachusetts, July 10-28, 1978. Zbl 0407.00006
1979
Triple Hilbert transforms along polynomial surfaces in $$\mathbb{R}^4$$. Zbl 1189.42003
Carbery, Anthony; Wainger, Stephen; Wright, James
2009
Discrete analogues of singular and maximal Radon transforms. Zbl 0971.44003
Wainger, Stephen
1998
On certain aspects of differentiation theory. Zbl 0601.42016
Wainger, S.
1983
Analysis and applications: the mathematical work of Elias Stein. Zbl 1452.32001
Fefferman, Charles; Ionescu, Alex; Tao, Terence; Wainger, Stephen
2020
Averages along polynomial sequences in discrete nilpotent Lie groups: singular Radon transforms. Zbl 1302.43004
Ionescu, Alexandru D.; Magyar, Akos; Wainger, Stephen
2014
$$L^p$$-$$L^q$$ estimates for solutions of the Klein-Gordon equation. Zbl 0464.35080
Marshall, B.; Strauss, W.; Wainger, S.
1980
Limits of bounded holomorphic functions along curves. Zbl 0517.32003
Nagel, Alexander; Wainger, Stephen
1981
Bounds for singular fractional integrals and related Fourier integral operators. Zbl 1023.42007
Seeger, Andreas; Wainger, Stephen
2003
Maximal operators associated to discrete subgroups of nilpotent Lie groups. Zbl 1149.22009
Magyar, Ákos; Stein, Elias M.; Wainger, Stephen
2007
The nonexistence of the Yaglom limit for an age dependent subcritical branching process. Zbl 0271.60093
Kurtz, Thomas G.; Wainger, Stephen
1973
Analysis and applications: the mathematical work of Elias Stein. Zbl 1452.32001
Fefferman, Charles; Ionescu, Alex; Tao, Terence; Wainger, Stephen
2020
Algebras of singular integral operators with kernels controlled by multiple norms. Zbl 1445.42001
Nagel, Alexander; Ricci, Fulvio; Stein, Elias M.; Wainger, Stephen
2018
Averages along polynomial sequences in discrete nilpotent Lie groups: singular Radon transforms. Zbl 1302.43004
Ionescu, Alexandru D.; Magyar, Akos; Wainger, Stephen
2014
Singular integrals with flag kernels on homogeneous groups, I. Zbl 1253.42009
Nagel, Alexander; Ricci, Fulvio; Stein, Elias M.; Wainger, Stephen
2012
The Bergman and Szegő kernels near points of infinite type. Zbl 1191.32002
Halfpap, Jennifer; Nagel, Alexander; Wainger, Stephen
2010
Triple Hilbert transforms along polynomial surfaces in $$\mathbb{R}^4$$. Zbl 1189.42003
Carbery, Anthony; Wainger, Stephen; Wright, James
2009
Discrete Radon transforms and applications to ergodic theory. Zbl 1139.42002
Ionescu, Alexandru D.; Stein, Elias M.; Magyar, Ákos; Wainger, Stephen
2007
Maximal operators associated to discrete subgroups of nilpotent Lie groups. Zbl 1149.22009
Magyar, Ákos; Stein, Elias M.; Wainger, Stephen
2007
$$L^p$$ boundedness of discrete singular Radon transforms. Zbl 1158.42007
Ionescu, Alexandru D.; Wainger, Stephen
2006
Singular integrals and the Newton diagram. Zbl 1213.42024
Carbery, Anthony; Wainger, Stephen; Wright, James
2006
Singular integral and maximal operators associated to hypersurfaces: $$L^p$$ theory. Zbl 1088.42007
Seeger, Andreas; Wainger, Stephen; Wright, James; Ziesler, Sarah
2005
Singular Radon transforms and maximal functions under convexity assumptions. Zbl 1071.42012
Seeger, Andreas; Wainger, Stephen
2003
Bounds for singular fractional integrals and related Fourier integral operators. Zbl 1023.42007
Seeger, Andreas; Wainger, Stephen
2003
Discrete analogues in harmonic analysis: spherical averages. Zbl 1036.42018
Magyar, Ákos; Stein, Elias M.; Wainger, Stephen
2002
Two discrete fractional integral operators revisited. Zbl 1029.39016
Stein, Elias M.; Wainger, Stephen
2002
Oscillatory integrals related to Carleson’s theorem. Zbl 0998.42007
Stein, Elias M.; Wainger, Stephen
2001
Discrete analogues in harmonic analysis. II: Fractional integration. Zbl 0972.42010
Stein, Elias M.; Wainger, Stephen
2000
Estimates for generalized Radon transforms in three and four dimensions. Zbl 0963.44002
Greenleaf, Allan; Seeger, Andreas; Wainger, Stephen
2000
Double Hilbert transforms along polynomial surfaces in $$\mathbb{R}^3$$. Zbl 0959.42006
Carbery, Anthony; Wainger, Stephen; Wright, James
2000
Singular and maximal Radon transforms: Analysis and geometry. Zbl 0960.44001
Christ, Michael; Nagel, Alexander; Stein, Elias M.; Wainger, Stephen
1999
Discrete analogues in harmonic analysis. I: $$\ell^2$$ estimates for singular Radon transforms. Zbl 0945.42009
Stein, Elias M.; Wainger, Stephen
1999
Classes of singular integral operators along variable lines. Zbl 0964.42003
Carbery, Anthony; Seeger, Andreas; Wainger, Stephen; Wright, James
1999
On X-ray transforms for rigid line complexes and integrals over curves in $$\mathbb{R}^4$$. Zbl 0934.44003
Greenleaf, Allan; Seeger, Andreas; Wainger, Stephen
1999
Classes of singular integrals along curves and surfaces. Zbl 0980.42010
Seeger, Andreas; Wainger, Stephen; Wright, James; Ziesler, Sarah
1999
Singular integrals associated to hypersurfaces: $$L^2$$ theory. Zbl 0942.42007
Wainger, Stephen; Wright, James; Ziesler, Sarah
1999
Discrete analogues of singular and maximal Radon transforms. Zbl 0971.44003
Wainger, Stephen
1998
Spherical maximal operators on radial functions. Zbl 0914.42013
Seeger, Andreas; Wainger, Stephen; Wright, James
1997
Singular integrals and maximal functions associated to surfaces of revolution. Zbl 0893.42004
Kim, Weon-Ju; Wainger, Stephen; Wright, James; Ziesler, Sarah
1996
Hilbert transforms and maximal functions along variable flat plane curves. Zbl 0886.42014
Carbery, A.; Wainger, S.; Wright, J.
1995
Pointwise convergence of spherical means. Zbl 0865.42015
Seeger, Andreas; Wainger, Stephen; Wright, James
1995
Hilbert transforms and maximal functions associated to flat curves on the Heisenberg group. Zbl 0824.42013
Carbery, Anthony; Wainger, Stephen; Wright, James
1995
A variant of the notion of a space of homogeneous type. Zbl 0912.42011
Carbery, Anthony; Vance, James; Wainger, Stephen; Wrigth, James
1995
Essays on Fourier analysis in honor of Elias M. Stein. Proceedings of the Princeton conference in harmonic analysis held at Princeton University, Princeton, NJ, May 13-17, 1991 in honor of Elias M. Stein’s sixtieth birthday. Zbl 0810.00019
1995
$$L^ p$$-estimates for operators associated to flat curves without the Fourier transform. Zbl 0830.42005
Carbery, Anthony; Vance, James; Wainger, Stephen; Watson, David; Wright, James
1995
The Hilbert transform and maximal function along flat curves, dilations, and differential equations. Zbl 0816.42010
Carbery, Anthony; Vance, James; Wainger, Stephen; Watson, David
1994
The Hilbert transform and maximal function along nonconvex curves in the plane. Zbl 0810.42011
Vance, James; Wainger, Stephen; Wright, James
1994
Averages over convex hypersurfaces. Zbl 0832.42010
Nagel, Alexander; Seeger, Andreas; Wainger, Stephen
1993
Dilations associated to flat curves. Zbl 0738.43006
Wainger, Stephen
1991
Discrete analogues of singular Radon transforms. Zbl 0718.42015
Stein, Elias M.; Wainger, S.
1990
Estimates for the Bergman and Szegö kernels in $${\mathbb{C}}^ 2$$. Zbl 0667.32016
Nagel, Alexander; Rosay, J. P.; Stein, Elias M.; Wainger, S.
1989
Operators associated to flat plane curves: $$L^ p$$ estimates via dilation methods. Zbl 0723.44006
Carbery, Anthony; Christ, Michael; Vance, James; Wainger, Stephen; Watson, David K.
1989
Fourier transforms of surface area measure on convex surfaces in $$R^ 3$$. Zbl 0687.49028
Bak, Jong-Guk; McMichael, David; Vance, James; Wainger, Stephen
1989
Convex hypersurfaces and Fourier transforms. Zbl 0666.42010
Bruna, Joaquim; Nagel, Alexander; Wainger, Stephen
1988
Estimates for the Bergman and Szegö kernels in certain weakly pseudoconvex domains. Zbl 0642.32014
Nagel, Alexander; Rosay, Jean-Pierre; Stein, Elias M.; Wainger, Stephen
1988
$$L^ p$$ estimates for maximal functions and Hilbert transforms along flat convex curves in $$R^ 2$$. Zbl 0588.44007
Carlsson, Hasse; Christ, Michael; Cordoba, Antonio; Duoandikoetxea, Javier; Rubio de Francia, Jose L.; Vance, James; Wainger, Stephen; Weinberg, David
1986
$$L^ p$$ bounds for Hilbert transforms along convex curves. Zbl 0641.42009
Cordoba, A.; Nagel, A.; Vance, J.; Wainger, S.; Weinberg, D.
1986
Averages and singular integrals over lower dimensional sets. Zbl 0627.42006
Wainger, Stephen
1986
The Hilbert transform for convex curves in $$R^ n$$. Zbl 0589.42014
Nagel, Alexander; Vance, James; Wainger, Stephen; Weinberg, David
1986
Balls and metrics defined by vector fields. I: Basic properties. Zbl 0578.32044
Nagel, Alexander; Stein, Elias M.; Wainger, Stephen
1985
Maximal functions for convex curves. Zbl 0657.42018
Nagel, Alexander; Vance, James; Wainger, Stephen; Weinberg, David
1985
Maximal functions related to convex polygonal lines. Zbl 0587.42011
Carlsson, Hasse; Wainger, Stephen
1985
On the multi-dimensional renewal theorem. Zbl 0543.60085
Carlsson, Hasse; Wainger, Stephen
1984
Hilbert transforms for convex curves. Zbl 0524.44001
Nagel, Alexander; Vance, James; Wainger, Stephen; Weinberg, David
1983
On certain aspects of differentiation theory. Zbl 0601.42016
Wainger, S.
1983
An asymptotic series expansion of the multidimensional renewal measure. Zbl 0502.60069
Carlsson, Hasse; Wainger, Stephen
1982
Boundary behavior of functions holomorphic in domains of finite type (area integrals/maximal functions/pseudometrics). Zbl 0517.32002
Nagel, Alexander; Stein, Elias M.; Wainger, Stephen
1981
Limits of bounded holomorphic functions along curves. Zbl 0517.32003
Nagel, Alexander; Wainger, Stephen
1981
A note on limiting cases of Sobolev embeddings and convolution inequalities. Zbl 0437.35071
Brézis, Haïm; Wainger, Stephen
1980
$$L^p-L^q$$ estimates for the Klein-Gordon equation. Zbl 0457.47040
Marshall, Bernard; Strauss, Walter; Wainger, Stephen
1980
$$L^p$$-$$L^q$$ estimates for solutions of the Klein-Gordon equation. Zbl 0464.35080
Marshall, B.; Strauss, W.; Wainger, S.
1980
Hilbert transforms and maximal functions related to variable curves. Zbl 0463.42008
Nagel, Alexander; Stein, Elias M.; Wainger, Stephen
1979
Applications of Fourier transforms to averages over lower dimensional sets. Zbl 0415.42015
Wainger, Stephen
1979
Harmonic analysis in Euclidean spaces. Proceedings of the symposium in pure mathematics of the American Mathematical Society, held at Williams College, Williamstown, Massachusetts, July 10-28, 1978. Zbl 0407.00006
1979
Problems in harmonic analysis related to curvature. Zbl 0393.42010
Stein, Elias M.; Wainger, Stephen
1978
Differentiation in lacunary directions. Zbl 0391.42015
Nagel, Alexander; Stein, Elias M.; Wainger, Stephen
1978
$$L^2$$-boundedness of Hilbert transforms along surfaces and convolution operators homogeneous with respect to a multiple parameter group. Zbl 0374.44003
Nagel, Alexander; Wainger, Stephen
1977
On Hilbert transforms along curves. II. Zbl 0334.44012
Nagel, Alexander; Riviere, Nestor M.; Wainger, Stephen
1976
Hilbert transforms associated with plane curves. Zbl 0341.44005
Nagel, Alexander; Wainger, Stephen
1976
Maximal functions associated to smooth curves. Zbl 0348.42016
Stein, Elias M.; Wainger, Stephen
1976
A maximal function associated to the curve $$(t,t^2)$$. Zbl 0325.43009
Nagel, Alexander; Riviere, Nestor; Wainger, Stephen
1976
Variants of the Wiener-Levy theorem, with applications to stability problems for some Volterra integral equations. Zbl 0318.45016
Shea, Daniel F.; Wainger, Stephen
1975
On Hilbert transforms along curves. Zbl 0293.44002
Nagel, Alexander; Riviere, Nestor; Wainger, Stephen
1974
Functions of probability measures. Zbl 0276.60018
Chover, J.; Ney, P.; Wainger, S.
1973
Degeneracy properties of subcritical branching processes. Zbl 0387.60097
Chover, J.; Ney, P.; Wainger, S.
1973
The nonexistence of the Yaglom limit for an age dependent subcritical branching process. Zbl 0271.60093
Kurtz, Thomas G.; Wainger, Stephen
1973
The renewal theorem for a random walk in two-dimensional time. Zbl 0239.60077
Ney, P.; Wainger, S.
1972
The estimation of an integral arising in multiplier transformations. Zbl 0202.12401
Stein, Elias M.; Wainger, Stephen
1970
A convolution structure for Jacobi series. Zbl 0186.12303
Askey, R.; Wainger, S.
1969
A problem of Wiener and the failure of a principle for Fourier series with positive coefficients. Zbl 0176.36801
Wainger, S.
1969
A dual convolution structure for Jacobi polynomials. Zbl 0174.36305
Askey, R.; Wainger, S.
1968
One-sided error estimates in renewal theory. Zbl 0187.41201
Stone, Charles; Wainger, Stephen
1967
Integrability theorems for Fourier series. Zbl 0136.36501
Askey, R.; Wainger, S.
1966
A transplantation theorem between ultraspherical series. Zbl 0135.27603
Askey, R.; Wainger, S.
1966
A transplantation theorem for ultraspherical coefficients. Zbl 0136.37201
Askey, R.; Wainger, S.
1966
Special trigonometric series in k-dimensions. Zbl 0136.36601
Wainger, S.
1965
Mean convergence of expansions in Laguerre und Hermite series. Zbl 0125.31301
Askey, R.; Wainger, S.
1965
On the behavior of special classes of ultraspherical expansions. I, II. Zbl 0132.29403
Askey, R.; Wainger, S.
1965
Analytic properties of expansions, and some variants of Parseval- Plancherel formulas. Zbl 0147.32902
Stein, Elias M.; Wainger, S.
1965
all top 5

### Cited by 1,646 Authors

 40 Stein, Elias Menachem 31 Wainger, Stephen 26 Citti, Giovanna 21 Seeger, Andreas 19 Chen, Jiecheng 19 Fan, Dashan 19 Karmanova, Maria B. 17 Wang, Yuebao 17 Wright, James Robert 17 Yang, Dachun 16 Krantz, Steven George 15 Nagel, Alexander 14 Ding, Yong 14 Franchi, Bruno 14 Garofalo, Nicola 14 Tikhonov, Sergey Yur’evich 13 Capogna, Luca 13 Christ, Michael 13 Montanari, Annamaria 12 Lu, Guozhen 12 McNeal, Jeffery D. 12 Morbidelli, Daniele 12 Raich, Andrew S. 12 Street, Brian 12 Thangavelu, Sundaram 12 Vodop’yanov, Sergeĭ Konstantinovich 11 Brandolini, Luca 11 Cianchi, Andrea 11 Cowling, Michael G. 11 Grafakos, Loukas 11 Lacey, Michael T. 11 Li, Ji 11 Manfredini, Maria 11 Polidoro, Sergio 10 Bramanti, Marco 10 Carbery, Anthony 10 Greenblatt, Michael 10 Iosevich, Alex 10 Liu, Honghai 10 Mirek, Mariusz 10 Müller, Detlef 10 Pick, Luboš 10 Ricci, Fulvio 10 Tang, Qihe 10 Wu, Huoxiong 10 Xue, Qingying 9 Askey, Richard Allen 9 Niu, Pengcheng 9 Pan, Yibiao 9 Sgibnev, Mikhaĭl Sergeevich 9 Yabuta, Kôzô 9 Yamazaki, Kazuo 9 Yu, Haixia 8 Guo, Shaoming 8 Hughes, Kevin 8 Liu, Feng 8 Nevo, Amos 8 Opic, Bohumír 8 Saloff-Coste, Laurent 8 Sogge, Christopher D. 8 Wadade, Hidemitsu 8 Wheeden, Richard Lee 8 Yao, Xiaohua 7 Anderson, Theresa C. 7 Appleby, John A. D. 7 Duoandikoetxea, Javier 7 Gogatishvili, Amiran 7 Han, Yongsheng 7 Lanconelli, Ermanno 7 Lee, Sanghyuk 7 Li, Songying 7 Magyar, Akos 7 Martini, Alessio 7 Roos, Joris 7 Saker, Samir H. 7 Sato, Shûichi 7 Sheng, Baohuai 7 Trebels, Walter 7 Varona Malumbres, Juan Luis 7 Wang, Kaiyong 7 Watanabe, Toshiro 7 Wu, Xinfeng 7 Xu, Da 7 Yu, Changjun 6 Bonfiglioli, Andrea 6 Chang, Der-Chen E. 6 Ciaurri, Óscar 6 Córdoba Barba, Antonio Juan 6 Delgado, Julio 6 Fefferman, Charles Louis 6 Greshnov, Aleksandr Valer’evich 6 Gressman, Philip T. 6 Hayashi, Nakao 6 Kim, Joonil 6 Klüppelberg, Claudia 6 Krnić, Mario 6 Le, Hung Viet 6 Li, Junfeng 6 Li, Zhongkai 6 Manna, Ramesh ...and 1,546 more Authors
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### Cited in 316 Serials

 106 Journal of Mathematical Analysis and Applications 84 Journal of Functional Analysis 77 Transactions of the American Mathematical Society 67 Proceedings of the American Mathematical Society 63 The Journal of Geometric Analysis 42 Advances in Mathematics 41 Mathematische Zeitschrift 38 Duke Mathematical Journal 37 Journal d’Analyse Mathématique 36 The Journal of Fourier Analysis and Applications 34 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 33 Mathematische Annalen 33 Siberian Mathematical Journal 32 Journal of Differential Equations 26 Journal of Approximation Theory 22 Arkiv för Matematik 21 Annales de l’Institut Fourier 21 Revista Matemática Iberoamericana 21 Stochastic Processes and their Applications 20 Tohoku Mathematical Journal. Second Series 18 Communications in Partial Differential Equations 18 Acta Mathematica Sinica. English Series 17 Journal de Mathématiques Pures et Appliquées. Neuvième Série 17 Potential Analysis 16 Mathematical Notes 16 Statistics & Probability Letters 15 Analysis Mathematica 15 Journal of Inequalities and Applications 14 Annali di Matematica Pura ed Applicata. Serie Quarta 14 Doklady Mathematics 13 Communications in Mathematical Physics 13 Integral Equations and Operator Theory 13 Calculus of Variations and Partial Differential Equations 12 Israel Journal of Mathematics 12 Mathematische Nachrichten 12 Complex Variables and Elliptic Equations 11 Lithuanian Mathematical Journal 11 Inventiones Mathematicae 11 Forum Mathematicum 11 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 11 Comptes Rendus. Mathématique. Académie des Sciences, Paris 11 Communications on Pure and Applied Analysis 10 Bulletin of the American Mathematical Society. New Series 10 Science China. Mathematics 9 Acta Mathematica 9 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 9 Probability Theory and Related Fields 9 Communications in Contemporary Mathematics 8 Mathematical Proceedings of the Cambridge Philosophical Society 8 Journal of Soviet Mathematics 8 Zeitschrift für Analysis und ihre Anwendungen 7 Applicable Analysis 7 Ukrainian Mathematical Journal 7 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 7 Illinois Journal of Mathematics 7 Journal of Applied Probability 7 Journal of the Mathematical Society of Japan 7 Manuscripta Mathematica 7 Monatshefte für Mathematik 7 Insurance Mathematics & Economics 7 Acta Mathematica Hungarica 7 Journal of the American Mathematical Society 7 Bulletin des Sciences Mathématiques 7 Discrete and Continuous Dynamical Systems 7 Abstract and Applied Analysis 7 Journal of the Australian Mathematical Society 7 Frontiers of Mathematics in China 7 Banach Journal of Mathematical Analysis 7 Journal of Pseudo-Differential Operators and Applications 7 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 6 Advances in Applied Probability 6 Rocky Mountain Journal of Mathematics 6 Journal of Computational and Applied Mathematics 6 Applied Mathematics. Series B (English Edition) 6 Discrete and Continuous Dynamical Systems. Series B 6 Analysis in Theory and Applications 5 Memoirs of the American Mathematical Society 5 Osaka Journal of Mathematics 5 Acta Applicandae Mathematicae 5 Acta Mathematicae Applicatae Sinica. English Series 5 Journal of Theoretical Probability 5 The Annals of Applied Probability 5 Russian Mathematics 5 Annales Academiae Scientiarum Fennicae. Mathematica 5 Nonlinear Analysis. Real World Applications 5 Journal of Function Spaces and Applications 5 Mediterranean Journal of Mathematics 5 Bulletin of the American Mathematical Society 5 Complex Analysis and Operator Theory 5 Bulletin of Mathematical Sciences 5 Nonlinear Analysis. Theory, Methods & Applications 4 Archive for Rational Mechanics and Analysis 4 Bulletin of the Australian Mathematical Society 4 Computers & Mathematics with Applications 4 Studia Mathematica 4 Mathematics of Computation 4 The Annals of Probability 4 Applied Mathematics and Computation 4 Canadian Mathematical Bulletin 4 Mathematika ...and 216 more Serials
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### Cited in 54 Fields

 734 Harmonic analysis on Euclidean spaces (42-XX) 521 Partial differential equations (35-XX) 255 Functional analysis (46-XX) 192 Probability theory and stochastic processes (60-XX) 173 Several complex variables and analytic spaces (32-XX) 165 Operator theory (47-XX) 127 Abstract harmonic analysis (43-XX) 114 Differential geometry (53-XX) 111 Real functions (26-XX) 106 Fluid mechanics (76-XX) 90 Global analysis, analysis on manifolds (58-XX) 88 Integral transforms, operational calculus (44-XX) 78 Topological groups, Lie groups (22-XX) 61 Approximations and expansions (41-XX) 56 Special functions (33-XX) 53 Statistics (62-XX) 49 Number theory (11-XX) 38 Calculus of variations and optimal control; optimization (49-XX) 37 Functions of a complex variable (30-XX) 36 Potential theory (31-XX) 36 Integral equations (45-XX) 35 Measure and integration (28-XX) 32 Numerical analysis (65-XX) 30 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 23 Dynamical systems and ergodic theory (37-XX) 22 Quantum theory (81-XX) 20 Ordinary differential equations (34-XX) 19 Sequences, series, summability (40-XX) 18 Difference and functional equations (39-XX) 15 Combinatorics (05-XX) 15 Convex and discrete geometry (52-XX) 15 Mechanics of deformable solids (74-XX) 13 Biology and other natural sciences (92-XX) 10 Statistical mechanics, structure of matter (82-XX) 9 Geophysics (86-XX) 8 Computer science (68-XX) 8 Information and communication theory, circuits (94-XX) 7 Systems theory; control (93-XX) 6 Nonassociative rings and algebras (17-XX) 6 Geometry (51-XX) 5 General topology (54-XX) 5 Manifolds and cell complexes (57-XX) 5 Operations research, mathematical programming (90-XX) 4 Algebraic geometry (14-XX) 4 Optics, electromagnetic theory (78-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 History and biography (01-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Group theory and generalizations (20-XX) 3 Mechanics of particles and systems (70-XX) 2 General and overarching topics; collections (00-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Commutative algebra (13-XX) 1 Algebraic topology (55-XX)