Edit Profile (opens in new tab) Wainger, Stephen Compute Distance To: Compute 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 all top 5 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 all top 5 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 all top 5 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) Publications by Year all cited Publications top 5 cited Publications 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 0578.32044Nagel, Alexander; Stein, Elias M.; Wainger, Stephen 460 1985 A note on limiting cases of Sobolev embeddings and convolution inequalities. Zbl 0437.35071Brézis, Haïm; Wainger, Stephen 252 1980 Problems in harmonic analysis related to curvature. Zbl 0393.42010Stein, Elias M.; Wainger, Stephen 222 1978 Functions of probability measures. Zbl 0276.60018Chover, J.; Ney, P.; Wainger, S. 124 1973 Estimates for the Bergman and Szegö kernels in \({\mathbb{C}}^ 2\). Zbl 0667.32016Nagel, Alexander; Rosay, J. P.; Stein, Elias M.; Wainger, S. 116 1989 Special trigonometric series in k-dimensions. Zbl 0136.36601Wainger, S. 102 1965 Mean convergence of expansions in Laguerre und Hermite series. Zbl 0125.31301Askey, R.; Wainger, S. 101 1965 Degeneracy properties of subcritical branching processes. Zbl 0387.60097Chover, J.; Ney, P.; Wainger, S. 75 1973 Singular and maximal Radon transforms: Analysis and geometry. Zbl 0960.44001Christ, Michael; Nagel, Alexander; Stein, Elias M.; Wainger, Stephen 65 1999 \(L^p-L^q\) estimates for the Klein-Gordon equation. Zbl 0457.47040Marshall, Bernard; Strauss, Walter; Wainger, Stephen 57 1980 Convex hypersurfaces and Fourier transforms. Zbl 0666.42010Bruna, Joaquim; Nagel, Alexander; Wainger, Stephen 55 1988 Discrete analogues in harmonic analysis: spherical averages. Zbl 1036.42018Magyar, Ákos; Stein, Elias M.; Wainger, Stephen 55 2002 Differentiation in lacunary directions. Zbl 0391.42015Nagel, Alexander; Stein, Elias M.; Wainger, Stephen 55 1978 A convolution structure for Jacobi series. Zbl 0186.12303Askey, R.; Wainger, S. 39 1969 Hilbert transforms for convex curves. Zbl 0524.44001Nagel, Alexander; Vance, James; Wainger, Stephen; Weinberg, David 38 1983 Operators associated to flat plane curves: \(L^ p\) estimates via dilation methods. Zbl 0723.44006Carbery, Anthony; Christ, Michael; Vance, James; Wainger, Stephen; Watson, David K. 36 1989 Variants of the Wiener-Levy theorem, with applications to stability problems for some Volterra integral equations. Zbl 0318.45016Shea, Daniel F.; Wainger, Stephen 36 1975 Discrete analogues in harmonic analysis. I: \(\ell^2\) estimates for singular Radon transforms. Zbl 0945.42009Stein, Elias M.; Wainger, Stephen 35 1999 Singular integrals and maximal functions associated to surfaces of revolution. Zbl 0893.42004Kim, Weon-Ju; Wainger, Stephen; Wright, James; Ziesler, Sarah 32 1996 Boundary behavior of functions holomorphic in domains of finite type (area integrals/maximal functions/pseudometrics). Zbl 0517.32002Nagel, Alexander; Stein, Elias M.; Wainger, Stephen 31 1981 On Hilbert transforms along curves. II. Zbl 0334.44012Nagel, Alexander; Riviere, Nestor M.; Wainger, Stephen 31 1976 Classes of singular integral operators along variable lines. Zbl 0964.42003Carbery, Anthony; Seeger, Andreas; Wainger, Stephen; Wright, James 29 1999 \(L^ p\) estimates for maximal functions and Hilbert transforms along flat convex curves in \(R^ 2\). Zbl 0588.44007Carlsson, Hasse; Christ, Michael; Cordoba, Antonio; Duoandikoetxea, Javier; Rubio de Francia, Jose L.; Vance, James; Wainger, Stephen; Weinberg, David 29 1986 \(L^p\) boundedness of discrete singular Radon transforms. Zbl 1158.42007Ionescu, Alexandru D.; Wainger, Stephen 29 2006 Integrability theorems for Fourier series. Zbl 0136.36501Askey, R.; Wainger, S. 29 1966 Discrete analogues in harmonic analysis. II: Fractional integration. Zbl 0972.42010Stein, Elias M.; Wainger, Stephen 28 2000 Oscillatory integrals related to Carleson’s theorem. Zbl 0998.42007Stein, Elias M.; Wainger, Stephen 28 2001 Singular integrals with flag kernels on homogeneous groups, I. Zbl 1253.42009Nagel, Alexander; Ricci, Fulvio; Stein, Elias M.; Wainger, Stephen 27 2012 On the behavior of special classes of ultraspherical expansions. I, II. Zbl 0132.29403Askey, R.; Wainger, S. 27 1965 The estimation of an integral arising in multiplier transformations. Zbl 0202.12401Stein, Elias M.; Wainger, Stephen 24 1970 Hilbert transforms associated with plane curves. Zbl 0341.44005Nagel, Alexander; Wainger, Stephen 23 1976 Averages over convex hypersurfaces. Zbl 0832.42010Nagel, Alexander; Seeger, Andreas; Wainger, Stephen 22 1993 Discrete analogues of singular Radon transforms. Zbl 0718.42015Stein, Elias M.; Wainger, S. 21 1990 \(L^2\)-boundedness of Hilbert transforms along surfaces and convolution operators homogeneous with respect to a multiple parameter group. Zbl 0374.44003Nagel, Alexander; Wainger, Stephen 20 1977 Two discrete fractional integral operators revisited. Zbl 1029.39016Stein, Elias M.; Wainger, Stephen 18 2002 On X-ray transforms for rigid line complexes and integrals over curves in \(\mathbb{R}^4\). Zbl 0934.44003Greenleaf, Allan; Seeger, Andreas; Wainger, Stephen 16 1999 A transplantation theorem between ultraspherical series. Zbl 0135.27603Askey, R.; Wainger, S. 16 1966 A transplantation theorem for ultraspherical coefficients. Zbl 0136.37201Askey, R.; Wainger, S. 15 1966 One-sided error estimates in renewal theory. Zbl 0187.41201Stone, Charles; Wainger, Stephen 15 1967 Estimates for the Bergman and Szegö kernels in certain weakly pseudoconvex domains. Zbl 0642.32014Nagel, Alexander; Rosay, Jean-Pierre; Stein, Elias M.; Wainger, Stephen 14 1988 Hilbert transforms and maximal functions related to variable curves. Zbl 0463.42008Nagel, Alexander; Stein, Elias M.; Wainger, Stephen 14 1979 The Hilbert transform and maximal function along flat curves, dilations, and differential equations. Zbl 0816.42010Carbery, Anthony; Vance, James; Wainger, Stephen; Watson, David 14 1994 Algebras of singular integral operators with kernels controlled by multiple norms. Zbl 1445.42001Nagel, Alexander; Ricci, Fulvio; Stein, Elias M.; Wainger, Stephen 13 2018 On Hilbert transforms along curves. Zbl 0293.44002Nagel, Alexander; Riviere, Nestor; Wainger, Stephen 11 1974 Maximal functions for convex curves. Zbl 0657.42018Nagel, Alexander; Vance, James; Wainger, Stephen; Weinberg, David 10 1985 Discrete Radon transforms and applications to ergodic theory. Zbl 1139.42002Ionescu, Alexandru D.; Stein, Elias M.; Magyar, Ákos; Wainger, Stephen 10 2007 Hilbert transforms and maximal functions along variable flat plane curves. Zbl 0886.42014Carbery, A.; Wainger, S.; Wright, J. 10 1995 Estimates for generalized Radon transforms in three and four dimensions. Zbl 0963.44002Greenleaf, Allan; Seeger, Andreas; Wainger, Stephen 9 2000 Pointwise convergence of spherical means. Zbl 0865.42015Seeger, Andreas; Wainger, Stephen; Wright, James 9 1995 A dual convolution structure for Jacobi polynomials. Zbl 0174.36305Askey, R.; Wainger, S. 9 1968 Maximal functions associated to smooth curves. Zbl 0348.42016Stein, Elias M.; Wainger, Stephen 8 1976 Double Hilbert transforms along polynomial surfaces in \(\mathbb{R}^3\). Zbl 0959.42006Carbery, Anthony; Wainger, Stephen; Wright, James 8 2000 The Hilbert transform and maximal function along nonconvex curves in the plane. Zbl 0810.42011Vance, James; Wainger, Stephen; Wright, James 8 1994 Analytic properties of expansions, and some variants of Parseval- Plancherel formulas. Zbl 0147.32902Stein, Elias M.; Wainger, S. 8 1965 A maximal function associated to the curve \((t,t^2)\). Zbl 0325.43009Nagel, Alexander; Riviere, Nestor; Wainger, Stephen 8 1976 The Bergman and Szegő kernels near points of infinite type. Zbl 1191.32002Halfpap, Jennifer; Nagel, Alexander; Wainger, Stephen 7 2010 \(L^ p\) bounds for Hilbert transforms along convex curves. Zbl 0641.42009Cordoba, A.; Nagel, A.; Vance, J.; Wainger, S.; Weinberg, D. 6 1986 Singular integrals and the Newton diagram. Zbl 1213.42024Carbery, Anthony; Wainger, Stephen; Wright, James 6 2006 Hilbert transforms and maximal functions associated to flat curves on the Heisenberg group. Zbl 0824.42013Carbery, Anthony; Wainger, Stephen; Wright, James 6 1995 A problem of Wiener and the failure of a principle for Fourier series with positive coefficients. Zbl 0176.36801Wainger, S. 6 1969 The renewal theorem for a random walk in two-dimensional time. Zbl 0239.60077Ney, P.; Wainger, S. 6 1972 Classes of singular integrals along curves and surfaces. Zbl 0980.42010Seeger, Andreas; Wainger, Stephen; Wright, James; Ziesler, Sarah 5 1999 Averages and singular integrals over lower dimensional sets. Zbl 0627.42006Wainger, Stephen 5 1986 The Hilbert transform for convex curves in \(R^ n\). Zbl 0589.42014Nagel, Alexander; Vance, James; Wainger, Stephen; Weinberg, David 5 1986 Singular Radon transforms and maximal functions under convexity assumptions. Zbl 1071.42012Seeger, Andreas; Wainger, Stephen 5 2003 Applications of Fourier transforms to averages over lower dimensional sets. Zbl 0415.42015Wainger, Stephen 5 1979 Singular integrals associated to hypersurfaces: \(L^2\) theory. Zbl 0942.42007Wainger, Stephen; Wright, James; Ziesler, Sarah 4 1999 Maximal functions related to convex polygonal lines. Zbl 0587.42011Carlsson, Hasse; Wainger, Stephen 4 1985 An asymptotic series expansion of the multidimensional renewal measure. Zbl 0502.60069Carlsson, Hasse; Wainger, Stephen 4 1982 On the multi-dimensional renewal theorem. Zbl 0543.60085Carlsson, Hasse; Wainger, Stephen 4 1984 A variant of the notion of a space of homogeneous type. Zbl 0912.42011Carbery, Anthony; Vance, James; Wainger, Stephen; Wrigth, James 4 1995 Dilations associated to flat curves. Zbl 0738.43006Wainger, Stephen 4 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 2 1995 Singular integral and maximal operators associated to hypersurfaces: \(L^p\) theory. Zbl 1088.42007Seeger, Andreas; Wainger, Stephen; Wright, James; Ziesler, Sarah 2 2005 \(L^ p\)-estimates for operators associated to flat curves without the Fourier transform. Zbl 0830.42005Carbery, Anthony; Vance, James; Wainger, Stephen; Watson, David; Wright, James 2 1995 Spherical maximal operators on radial functions. Zbl 0914.42013Seeger, Andreas; Wainger, Stephen; Wright, James 2 1997 Fourier transforms of surface area measure on convex surfaces in \(R^ 3\). Zbl 0687.49028Bak, Jong-Guk; McMichael, David; Vance, James; Wainger, Stephen 2 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 2 1979 Triple Hilbert transforms along polynomial surfaces in \(\mathbb{R}^4\). Zbl 1189.42003Carbery, Anthony; Wainger, Stephen; Wright, James 2 2009 Discrete analogues of singular and maximal Radon transforms. Zbl 0971.44003Wainger, Stephen 2 1998 On certain aspects of differentiation theory. Zbl 0601.42016Wainger, S. 1 1983 Analysis and applications: the mathematical work of Elias Stein. Zbl 1452.32001Fefferman, Charles; Ionescu, Alex; Tao, Terence; Wainger, Stephen 1 2020 Averages along polynomial sequences in discrete nilpotent Lie groups: singular Radon transforms. Zbl 1302.43004Ionescu, Alexandru D.; Magyar, Akos; Wainger, Stephen 1 2014 \(L^p\)-\(L^q\) estimates for solutions of the Klein-Gordon equation. Zbl 0464.35080Marshall, B.; Strauss, W.; Wainger, S. 1 1980 Limits of bounded holomorphic functions along curves. Zbl 0517.32003Nagel, Alexander; Wainger, Stephen 1 1981 Bounds for singular fractional integrals and related Fourier integral operators. Zbl 1023.42007Seeger, Andreas; Wainger, Stephen 1 2003 Maximal operators associated to discrete subgroups of nilpotent Lie groups. Zbl 1149.22009Magyar, Ákos; Stein, Elias M.; Wainger, Stephen 1 2007 The nonexistence of the Yaglom limit for an age dependent subcritical branching process. Zbl 0271.60093Kurtz, Thomas G.; Wainger, Stephen 1 1973 Analysis and applications: the mathematical work of Elias Stein. Zbl 1452.32001Fefferman, Charles; Ionescu, Alex; Tao, Terence; Wainger, Stephen 1 2020 Algebras of singular integral operators with kernels controlled by multiple norms. Zbl 1445.42001Nagel, Alexander; Ricci, Fulvio; Stein, Elias M.; Wainger, Stephen 13 2018 Averages along polynomial sequences in discrete nilpotent Lie groups: singular Radon transforms. Zbl 1302.43004Ionescu, Alexandru D.; Magyar, Akos; Wainger, Stephen 1 2014 Singular integrals with flag kernels on homogeneous groups, I. Zbl 1253.42009Nagel, Alexander; Ricci, Fulvio; Stein, Elias M.; Wainger, Stephen 27 2012 The Bergman and Szegő kernels near points of infinite type. Zbl 1191.32002Halfpap, Jennifer; Nagel, Alexander; Wainger, Stephen 7 2010 Triple Hilbert transforms along polynomial surfaces in \(\mathbb{R}^4\). Zbl 1189.42003Carbery, Anthony; Wainger, Stephen; Wright, James 2 2009 Discrete Radon transforms and applications to ergodic theory. Zbl 1139.42002Ionescu, Alexandru D.; Stein, Elias M.; Magyar, Ákos; Wainger, Stephen 10 2007 Maximal operators associated to discrete subgroups of nilpotent Lie groups. Zbl 1149.22009Magyar, Ákos; Stein, Elias M.; Wainger, Stephen 1 2007 \(L^p\) boundedness of discrete singular Radon transforms. Zbl 1158.42007Ionescu, Alexandru D.; Wainger, Stephen 29 2006 Singular integrals and the Newton diagram. Zbl 1213.42024Carbery, Anthony; Wainger, Stephen; Wright, James 6 2006 Singular integral and maximal operators associated to hypersurfaces: \(L^p\) theory. Zbl 1088.42007Seeger, Andreas; Wainger, Stephen; Wright, James; Ziesler, Sarah 2 2005 Singular Radon transforms and maximal functions under convexity assumptions. Zbl 1071.42012Seeger, Andreas; Wainger, Stephen 5 2003 Bounds for singular fractional integrals and related Fourier integral operators. Zbl 1023.42007Seeger, Andreas; Wainger, Stephen 1 2003 Discrete analogues in harmonic analysis: spherical averages. Zbl 1036.42018Magyar, Ákos; Stein, Elias M.; Wainger, Stephen 55 2002 Two discrete fractional integral operators revisited. Zbl 1029.39016Stein, Elias M.; Wainger, Stephen 18 2002 Oscillatory integrals related to Carleson’s theorem. Zbl 0998.42007Stein, Elias M.; Wainger, Stephen 28 2001 Discrete analogues in harmonic analysis. II: Fractional integration. Zbl 0972.42010Stein, Elias M.; Wainger, Stephen 28 2000 Estimates for generalized Radon transforms in three and four dimensions. Zbl 0963.44002Greenleaf, Allan; Seeger, Andreas; Wainger, Stephen 9 2000 Double Hilbert transforms along polynomial surfaces in \(\mathbb{R}^3\). Zbl 0959.42006Carbery, Anthony; Wainger, Stephen; Wright, James 8 2000 Singular and maximal Radon transforms: Analysis and geometry. Zbl 0960.44001Christ, Michael; Nagel, Alexander; Stein, Elias M.; Wainger, Stephen 65 1999 Discrete analogues in harmonic analysis. I: \(\ell^2\) estimates for singular Radon transforms. Zbl 0945.42009Stein, Elias M.; Wainger, Stephen 35 1999 Classes of singular integral operators along variable lines. Zbl 0964.42003Carbery, Anthony; Seeger, Andreas; Wainger, Stephen; Wright, James 29 1999 On X-ray transforms for rigid line complexes and integrals over curves in \(\mathbb{R}^4\). Zbl 0934.44003Greenleaf, Allan; Seeger, Andreas; Wainger, Stephen 16 1999 Classes of singular integrals along curves and surfaces. Zbl 0980.42010Seeger, Andreas; Wainger, Stephen; Wright, James; Ziesler, Sarah 5 1999 Singular integrals associated to hypersurfaces: \(L^2\) theory. Zbl 0942.42007Wainger, Stephen; Wright, James; Ziesler, Sarah 4 1999 Discrete analogues of singular and maximal Radon transforms. Zbl 0971.44003Wainger, Stephen 2 1998 Spherical maximal operators on radial functions. Zbl 0914.42013Seeger, Andreas; Wainger, Stephen; Wright, James 2 1997 Singular integrals and maximal functions associated to surfaces of revolution. Zbl 0893.42004Kim, Weon-Ju; Wainger, Stephen; Wright, James; Ziesler, Sarah 32 1996 Hilbert transforms and maximal functions along variable flat plane curves. Zbl 0886.42014Carbery, A.; Wainger, S.; Wright, J. 10 1995 Pointwise convergence of spherical means. Zbl 0865.42015Seeger, Andreas; Wainger, Stephen; Wright, James 9 1995 Hilbert transforms and maximal functions associated to flat curves on the Heisenberg group. Zbl 0824.42013Carbery, Anthony; Wainger, Stephen; Wright, James 6 1995 A variant of the notion of a space of homogeneous type. Zbl 0912.42011Carbery, Anthony; Vance, James; Wainger, Stephen; Wrigth, James 4 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 2 1995 \(L^ p\)-estimates for operators associated to flat curves without the Fourier transform. Zbl 0830.42005Carbery, Anthony; Vance, James; Wainger, Stephen; Watson, David; Wright, James 2 1995 The Hilbert transform and maximal function along flat curves, dilations, and differential equations. Zbl 0816.42010Carbery, Anthony; Vance, James; Wainger, Stephen; Watson, David 14 1994 The Hilbert transform and maximal function along nonconvex curves in the plane. Zbl 0810.42011Vance, James; Wainger, Stephen; Wright, James 8 1994 Averages over convex hypersurfaces. Zbl 0832.42010Nagel, Alexander; Seeger, Andreas; Wainger, Stephen 22 1993 Dilations associated to flat curves. Zbl 0738.43006Wainger, Stephen 4 1991 Discrete analogues of singular Radon transforms. Zbl 0718.42015Stein, Elias M.; Wainger, S. 21 1990 Estimates for the Bergman and Szegö kernels in \({\mathbb{C}}^ 2\). Zbl 0667.32016Nagel, Alexander; Rosay, J. P.; Stein, Elias M.; Wainger, S. 116 1989 Operators associated to flat plane curves: \(L^ p\) estimates via dilation methods. Zbl 0723.44006Carbery, Anthony; Christ, Michael; Vance, James; Wainger, Stephen; Watson, David K. 36 1989 Fourier transforms of surface area measure on convex surfaces in \(R^ 3\). Zbl 0687.49028Bak, Jong-Guk; McMichael, David; Vance, James; Wainger, Stephen 2 1989 Convex hypersurfaces and Fourier transforms. Zbl 0666.42010Bruna, Joaquim; Nagel, Alexander; Wainger, Stephen 55 1988 Estimates for the Bergman and Szegö kernels in certain weakly pseudoconvex domains. Zbl 0642.32014Nagel, Alexander; Rosay, Jean-Pierre; Stein, Elias M.; Wainger, Stephen 14 1988 \(L^ p\) estimates for maximal functions and Hilbert transforms along flat convex curves in \(R^ 2\). Zbl 0588.44007Carlsson, Hasse; Christ, Michael; Cordoba, Antonio; Duoandikoetxea, Javier; Rubio de Francia, Jose L.; Vance, James; Wainger, Stephen; Weinberg, David 29 1986 \(L^ p\) bounds for Hilbert transforms along convex curves. Zbl 0641.42009Cordoba, A.; Nagel, A.; Vance, J.; Wainger, S.; Weinberg, D. 6 1986 Averages and singular integrals over lower dimensional sets. Zbl 0627.42006Wainger, Stephen 5 1986 The Hilbert transform for convex curves in \(R^ n\). Zbl 0589.42014Nagel, Alexander; Vance, James; Wainger, Stephen; Weinberg, David 5 1986 Balls and metrics defined by vector fields. I: Basic properties. Zbl 0578.32044Nagel, Alexander; Stein, Elias M.; Wainger, Stephen 460 1985 Maximal functions for convex curves. Zbl 0657.42018Nagel, Alexander; Vance, James; Wainger, Stephen; Weinberg, David 10 1985 Maximal functions related to convex polygonal lines. Zbl 0587.42011Carlsson, Hasse; Wainger, Stephen 4 1985 On the multi-dimensional renewal theorem. Zbl 0543.60085Carlsson, Hasse; Wainger, Stephen 4 1984 Hilbert transforms for convex curves. Zbl 0524.44001Nagel, Alexander; Vance, James; Wainger, Stephen; Weinberg, David 38 1983 On certain aspects of differentiation theory. Zbl 0601.42016Wainger, S. 1 1983 An asymptotic series expansion of the multidimensional renewal measure. Zbl 0502.60069Carlsson, Hasse; Wainger, Stephen 4 1982 Boundary behavior of functions holomorphic in domains of finite type (area integrals/maximal functions/pseudometrics). Zbl 0517.32002Nagel, Alexander; Stein, Elias M.; Wainger, Stephen 31 1981 Limits of bounded holomorphic functions along curves. Zbl 0517.32003Nagel, Alexander; Wainger, Stephen 1 1981 A note on limiting cases of Sobolev embeddings and convolution inequalities. Zbl 0437.35071Brézis, Haïm; Wainger, Stephen 252 1980 \(L^p-L^q\) estimates for the Klein-Gordon equation. Zbl 0457.47040Marshall, Bernard; Strauss, Walter; Wainger, Stephen 57 1980 \(L^p\)-\(L^q\) estimates for solutions of the Klein-Gordon equation. Zbl 0464.35080Marshall, B.; Strauss, W.; Wainger, S. 1 1980 Hilbert transforms and maximal functions related to variable curves. Zbl 0463.42008Nagel, Alexander; Stein, Elias M.; Wainger, Stephen 14 1979 Applications of Fourier transforms to averages over lower dimensional sets. Zbl 0415.42015Wainger, Stephen 5 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 2 1979 Problems in harmonic analysis related to curvature. Zbl 0393.42010Stein, Elias M.; Wainger, Stephen 222 1978 Differentiation in lacunary directions. Zbl 0391.42015Nagel, Alexander; Stein, Elias M.; Wainger, Stephen 55 1978 \(L^2\)-boundedness of Hilbert transforms along surfaces and convolution operators homogeneous with respect to a multiple parameter group. Zbl 0374.44003Nagel, Alexander; Wainger, Stephen 20 1977 On Hilbert transforms along curves. II. Zbl 0334.44012Nagel, Alexander; Riviere, Nestor M.; Wainger, Stephen 31 1976 Hilbert transforms associated with plane curves. Zbl 0341.44005Nagel, Alexander; Wainger, Stephen 23 1976 Maximal functions associated to smooth curves. Zbl 0348.42016Stein, Elias M.; Wainger, Stephen 8 1976 A maximal function associated to the curve \((t,t^2)\). Zbl 0325.43009Nagel, Alexander; Riviere, Nestor; Wainger, Stephen 8 1976 Variants of the Wiener-Levy theorem, with applications to stability problems for some Volterra integral equations. Zbl 0318.45016Shea, Daniel F.; Wainger, Stephen 36 1975 On Hilbert transforms along curves. Zbl 0293.44002Nagel, Alexander; Riviere, Nestor; Wainger, Stephen 11 1974 Functions of probability measures. Zbl 0276.60018Chover, J.; Ney, P.; Wainger, S. 124 1973 Degeneracy properties of subcritical branching processes. Zbl 0387.60097Chover, J.; Ney, P.; Wainger, S. 75 1973 The nonexistence of the Yaglom limit for an age dependent subcritical branching process. Zbl 0271.60093Kurtz, Thomas G.; Wainger, Stephen 1 1973 The renewal theorem for a random walk in two-dimensional time. Zbl 0239.60077Ney, P.; Wainger, S. 6 1972 The estimation of an integral arising in multiplier transformations. Zbl 0202.12401Stein, Elias M.; Wainger, Stephen 24 1970 A convolution structure for Jacobi series. Zbl 0186.12303Askey, R.; Wainger, S. 39 1969 A problem of Wiener and the failure of a principle for Fourier series with positive coefficients. Zbl 0176.36801Wainger, S. 6 1969 A dual convolution structure for Jacobi polynomials. Zbl 0174.36305Askey, R.; Wainger, S. 9 1968 One-sided error estimates in renewal theory. Zbl 0187.41201Stone, Charles; Wainger, Stephen 15 1967 Integrability theorems for Fourier series. Zbl 0136.36501Askey, R.; Wainger, S. 29 1966 A transplantation theorem between ultraspherical series. Zbl 0135.27603Askey, R.; Wainger, S. 16 1966 A transplantation theorem for ultraspherical coefficients. Zbl 0136.37201Askey, R.; Wainger, S. 15 1966 Special trigonometric series in k-dimensions. Zbl 0136.36601Wainger, S. 102 1965 Mean convergence of expansions in Laguerre und Hermite series. Zbl 0125.31301Askey, R.; Wainger, S. 101 1965 On the behavior of special classes of ultraspherical expansions. I, II. Zbl 0132.29403Askey, R.; Wainger, S. 27 1965 Analytic properties of expansions, and some variants of Parseval- Plancherel formulas. Zbl 0147.32902Stein, Elias M.; Wainger, S. 8 1965 all cited Publications top 5 cited Publications 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 all top 5 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 all top 5 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) Citations by Year