Edit Profile (opens in new tab) Wainger, Stephen Co-Author Distance Author ID: wainger.stephen Published as: Wainger, Stephen; Wainger, S. External Links: MGP · Wikidata · GND · IdRef 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 1,014 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 Marshall, Bernard 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 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 89 Publications have been cited 3,298 times in 2,322 Documents Cited by ▼ Year ▼ Balls and metrics defined by vector fields. I: Basic properties. Zbl 0578.32044 Nagel, Alexander; Stein, Elias M.; Wainger, Stephen 536 1985 A note on limiting cases of Sobolev embeddings and convolution inequalities. Zbl 0437.35071 Brézis, Haïm; Wainger, Stephen 304 1980 Problems in harmonic analysis related to curvature. Zbl 0393.42010 Stein, Elias M.; Wainger, Stephen 258 1978 Functions of probability measures. Zbl 0276.60018 Chover, J.; Ney, P.; Wainger, S. 140 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. 134 1989 Special trigonometric series in k-dimensions. Zbl 0136.36601 Wainger, S. 128 1965 Mean convergence of expansions in Laguerre und Hermite series. Zbl 0125.31301 Askey, R.; Wainger, S. 119 1965 Discrete analogues in harmonic analysis: spherical averages. Zbl 1036.42018 Magyar, Ákos; Stein, Elias M.; Wainger, Stephen 86 2002 Singular and maximal Radon transforms: Analysis and geometry. Zbl 0960.44001 Christ, Michael; Nagel, Alexander; Stein, Elias M.; Wainger, Stephen 81 1999 Degeneracy properties of subcritical branching processes. Zbl 0387.60097 Chover, J.; Ney, P.; Wainger, S. 80 1973 Differentiation in lacunary directions. Zbl 0391.42015 Nagel, Alexander; Stein, Elias M.; Wainger, Stephen 76 1978 \(L^p-L^q\) estimates for the Klein-Gordon equation. Zbl 0457.47040 Marshall, Bernard; Strauss, Walter; Wainger, Stephen 66 1980 Convex hypersurfaces and Fourier transforms. Zbl 0666.42010 Bruna, Joaquim; Nagel, Alexander; Wainger, Stephen 61 1988 A convolution structure for Jacobi series. Zbl 0186.12303 Askey, R.; Wainger, S. 49 1969 \(L^p\) boundedness of discrete singular Radon transforms. Zbl 1158.42007 Ionescu, Alexandru D.; Wainger, Stephen 48 2006 Discrete analogues in harmonic analysis. I: \(\ell^2\) estimates for singular Radon transforms. Zbl 0945.42009 Stein, Elias M.; Wainger, Stephen 45 1999 Oscillatory integrals related to Carleson’s theorem. Zbl 0998.42007 Stein, Elias M.; Wainger, Stephen 43 2001 Hilbert transforms for convex curves. Zbl 0524.44001 Nagel, Alexander; Vance, James; Wainger, Stephen; Weinberg, David 42 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. 41 1989 Singular integrals with flag kernels on homogeneous groups, I. Zbl 1253.42009 Nagel, Alexander; Ricci, Fulvio; Stein, Elias M.; Wainger, Stephen 39 2012 Classes of singular integral operators along variable lines. Zbl 0964.42003 Carbery, Anthony; Seeger, Andreas; Wainger, Stephen; Wright, James 38 1999 Variants of the Wiener-Levy theorem, with applications to stability problems for some Volterra integral equations. Zbl 0318.45016 Shea, Daniel F.; Wainger, Stephen 38 1975 Discrete analogues in harmonic analysis. II: Fractional integration. Zbl 0972.42010 Stein, Elias M.; Wainger, Stephen 37 2000 Singular integrals and maximal functions associated to surfaces of revolution. Zbl 0893.42004 Kim, Weon-Ju; Wainger, Stephen; Wright, James; Ziesler, Sarah 36 1996 \(L^ p\) 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 35 1986 On Hilbert transforms along curves. II. Zbl 0334.44012 Nagel, Alexander; Riviere, Nestor M.; Wainger, Stephen 34 1976 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 33 1981 Integrability theorems for Fourier series. Zbl 0136.36501 Askey, R.; Wainger, S. 31 1966 Averages over convex hypersurfaces. Zbl 0832.42010 Nagel, Alexander; Seeger, Andreas; Wainger, Stephen 29 1993 Algebras of singular integral operators with kernels controlled by multiple norms. Zbl 1445.42001 Nagel, Alexander; Ricci, Fulvio; Stein, Elias M.; Wainger, Stephen 29 2018 The estimation of an integral arising in multiplier transformations. Zbl 0202.12401 Stein, Elias M.; Wainger, Stephen 28 1970 On the behavior of special classes of ultraspherical expansions. I, II. Zbl 0132.29403 Askey, R.; Wainger, S. 27 1965 Hilbert transforms associated with plane curves. Zbl 0341.44005 Nagel, Alexander; Wainger, Stephen 26 1976 \(L^2\)-boundedness of Hilbert transforms along surfaces and convolution operators homogeneous with respect to a multiple parameter group. Zbl 0374.44003 Nagel, Alexander; Wainger, Stephen 24 1977 Discrete analogues of singular Radon transforms. Zbl 0718.42015 Stein, Elias M.; Wainger, S. 24 1990 Two discrete fractional integral operators revisited. Zbl 1029.39016 Stein, Elias M.; Wainger, Stephen 24 2002 Hilbert transforms and maximal functions related to variable curves. Zbl 0463.42008 Nagel, Alexander; Stein, Elias M.; Wainger, Stephen 20 1979 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 18 1999 Discrete Radon transforms and applications to ergodic theory. Zbl 1139.42002 Ionescu, Alexandru D.; Stein, Elias M.; Magyar, Ákos; Wainger, Stephen 18 2007 The Hilbert transform and maximal function along flat curves, dilations, and differential equations. Zbl 0816.42010 Carbery, Anthony; Vance, James; Wainger, Stephen; Watson, David 17 1994 Pointwise convergence of spherical means. Zbl 0865.42015 Seeger, Andreas; Wainger, Stephen; Wright, James 17 1995 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 16 1988 A transplantation theorem between ultraspherical series. Zbl 0135.27603 Askey, R.; Wainger, S. 16 1966 One-sided error estimates in renewal theory. Zbl 0187.41201 Stone, Charles; Wainger, Stephen 15 1967 A transplantation theorem for ultraspherical coefficients. Zbl 0136.37201 Askey, R.; Wainger, S. 15 1966 Hilbert transforms and maximal functions along variable flat plane curves. Zbl 0886.42014 Carbery, A.; Wainger, S.; Wright, J. 14 1995 Maximal functions for convex curves. Zbl 0657.42018 Nagel, Alexander; Vance, James; Wainger, Stephen; Weinberg, David 13 1985 On Hilbert transforms along curves. Zbl 0293.44002 Nagel, Alexander; Riviere, Nestor; Wainger, Stephen 12 1974 A maximal function associated to the curve \((t,t^2)\). Zbl 0325.43009 Nagel, Alexander; Riviere, Nestor; Wainger, Stephen 12 1976 Applications of Fourier transforms to averages over lower dimensional sets. Zbl 0415.42015 Wainger, Stephen 11 1979 The Hilbert transform and maximal function along nonconvex curves in the plane. Zbl 0810.42011 Vance, James; Wainger, Stephen; Wright, James 10 1994 Maximal functions associated to smooth curves. Zbl 0348.42016 Stein, Elias M.; Wainger, Stephen 10 1976 Double Hilbert transforms along polynomial surfaces in \(\mathbb{R}^3\). Zbl 0959.42006 Carbery, Anthony; Wainger, Stephen; Wright, James 10 2000 Estimates for generalized Radon transforms in three and four dimensions. Zbl 0963.44002 Greenleaf, Allan; Seeger, Andreas; Wainger, Stephen 9 2000 Averages and singular integrals over lower dimensional sets. Zbl 0627.42006 Wainger, Stephen 9 1986 Singular Radon transforms and maximal functions under convexity assumptions. Zbl 1071.42012 Seeger, Andreas; Wainger, Stephen 9 2003 A dual convolution structure for Jacobi polynomials. Zbl 0174.36305 Askey, R.; Wainger, S. 9 1968 \(L^ p\) bounds for Hilbert transforms along convex curves. Zbl 0641.42009 Cordoba, A.; Nagel, A.; Vance, J.; Wainger, S.; Weinberg, D. 8 1986 Analytic properties of expansions, and some variants of Parseval- Plancherel formulas. Zbl 0147.32902 Stein, Elias M.; Wainger, S. 8 1965 The Bergman and Szegő kernels near points of infinite type. Zbl 1191.32002 Halfpap, Jennifer; Nagel, Alexander; Wainger, Stephen 8 2010 Hilbert transforms and maximal functions associated to flat curves on the Heisenberg group. Zbl 0824.42013 Carbery, Anthony; Wainger, Stephen; Wright, James 7 1995 A problem of Wiener and the failure of a principle for Fourier series with positive coefficients. Zbl 0176.36801 Wainger, S. 7 1969 Singular integrals and the Newton diagram. Zbl 1213.42024 Carbery, Anthony; Wainger, Stephen; Wright, James 7 2006 The Hilbert transform for convex curves in \(R^ n\). Zbl 0589.42014 Nagel, Alexander; Vance, James; Wainger, Stephen; Weinberg, David 6 1986 The renewal theorem for a random walk in two-dimensional time. Zbl 0239.60077 Ney, P.; Wainger, S. 6 1972 Analysis and applications: the mathematical work of Elias Stein. Zbl 1452.32001 Fefferman, Charles; Ionescu, Alex; Tao, Terence; Wainger, Stephen 6 2020 An asymptotic series expansion of the multidimensional renewal measure. Zbl 0502.60069 Carlsson, Hasse; Wainger, Stephen 5 1982 Maximal functions related to convex polygonal lines. Zbl 0587.42011 Carlsson, Hasse; Wainger, Stephen 5 1985 Classes of singular integrals along curves and surfaces. Zbl 0980.42010 Seeger, Andreas; Wainger, Stephen; Wright, James; Ziesler, Sarah 5 1999 On the multi-dimensional renewal theorem. Zbl 0543.60085 Carlsson, Hasse; Wainger, Stephen 5 1984 Averages along polynomial sequences in discrete nilpotent Lie groups: singular Radon transforms. Zbl 1302.43004 Ionescu, Alexandru D.; Magyar, Akos; Wainger, Stephen 4 2014 A variant of the notion of a space of homogeneous type. Zbl 0912.42011 Carbery, Anthony; Vance, James; Wainger, Stephen; Wrigth, James 4 1995 Triple Hilbert transforms along polynomial surfaces in \(\mathbb{R}^4\). Zbl 1189.42003 Carbery, Anthony; Wainger, Stephen; Wright, James 4 2009 Singular integrals associated to hypersurfaces: \(L^2\) theory. Zbl 0942.42007 Wainger, Stephen; Wright, James; Ziesler, Sarah 4 1999 Spherical maximal operators on radial functions. Zbl 0914.42013 Seeger, Andreas; Wainger, Stephen; Wright, James 4 1997 Dilations associated to flat curves. Zbl 0738.43006 Wainger, Stephen 4 1991 Maximal operators associated to discrete subgroups of nilpotent Lie groups. Zbl 1149.22009 Magyar, Ákos; Stein, Elias M.; Wainger, Stephen 4 2007 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 3 1979 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 0830.42005 Carbery, Anthony; Vance, James; Wainger, Stephen; Watson, David; Wright, James 2 1995 The nonexistence of the Yaglom limit for an age dependent subcritical branching process. Zbl 0271.60093 Kurtz, Thomas G.; Wainger, Stephen 2 1973 Fourier transforms of surface area measure on convex surfaces in \(R^ 3\). Zbl 0687.49028 Bak, Jong-Guk; McMichael, David; Vance, James; Wainger, Stephen 2 1989 Discrete analogues of singular and maximal Radon transforms. Zbl 0971.44003 Wainger, Stephen 2 1998 Singular integral and maximal operators associated to hypersurfaces: \(L^p\) theory. Zbl 1088.42007 Seeger, Andreas; Wainger, Stephen; Wright, James; Ziesler, Sarah 2 2005 \(L^p\)-\(L^q\) estimates for solutions of the Klein-Gordon equation. Zbl 0464.35080 Marshall, B.; Strauss, W.; Wainger, S. 2 1980 Problems in harmonic analysis related to curves and surfaces with infinitely flat points. Zbl 0683.43004 Wainger, Stephen 1 1989 Limits of bounded holomorphic functions along curves. Zbl 0517.32003 Nagel, Alexander; Wainger, Stephen 1 1981 On certain aspects of differentiation theory. Zbl 0601.42016 Wainger, S. 1 1983 Bounds for singular fractional integrals and related Fourier integral operators. Zbl 1023.42007 Seeger, Andreas; Wainger, Stephen 1 2003 Analysis and applications: the mathematical work of Elias Stein. Zbl 1452.32001 Fefferman, Charles; Ionescu, Alex; Tao, Terence; Wainger, Stephen 6 2020 Algebras of singular integral operators with kernels controlled by multiple norms. Zbl 1445.42001 Nagel, Alexander; Ricci, Fulvio; Stein, Elias M.; Wainger, Stephen 29 2018 Averages along polynomial sequences in discrete nilpotent Lie groups: singular Radon transforms. Zbl 1302.43004 Ionescu, Alexandru D.; Magyar, Akos; Wainger, Stephen 4 2014 Singular integrals with flag kernels on homogeneous groups, I. Zbl 1253.42009 Nagel, Alexander; Ricci, Fulvio; Stein, Elias M.; Wainger, Stephen 39 2012 The Bergman and Szegő kernels near points of infinite type. Zbl 1191.32002 Halfpap, Jennifer; Nagel, Alexander; Wainger, Stephen 8 2010 Triple Hilbert transforms along polynomial surfaces in \(\mathbb{R}^4\). Zbl 1189.42003 Carbery, Anthony; Wainger, Stephen; Wright, James 4 2009 Discrete Radon transforms and applications to ergodic theory. Zbl 1139.42002 Ionescu, Alexandru D.; Stein, Elias M.; Magyar, Ákos; Wainger, Stephen 18 2007 Maximal operators associated to discrete subgroups of nilpotent Lie groups. Zbl 1149.22009 Magyar, Ákos; Stein, Elias M.; Wainger, Stephen 4 2007 \(L^p\) boundedness of discrete singular Radon transforms. Zbl 1158.42007 Ionescu, Alexandru D.; Wainger, Stephen 48 2006 Singular integrals and the Newton diagram. Zbl 1213.42024 Carbery, Anthony; Wainger, Stephen; Wright, James 7 2006 Singular integral and maximal operators associated to hypersurfaces: \(L^p\) theory. Zbl 1088.42007 Seeger, Andreas; Wainger, Stephen; Wright, James; Ziesler, Sarah 2 2005 Singular Radon transforms and maximal functions under convexity assumptions. Zbl 1071.42012 Seeger, Andreas; Wainger, Stephen 9 2003 Bounds for singular fractional integrals and related Fourier integral operators. Zbl 1023.42007 Seeger, Andreas; Wainger, Stephen 1 2003 Discrete analogues in harmonic analysis: spherical averages. Zbl 1036.42018 Magyar, Ákos; Stein, Elias M.; Wainger, Stephen 86 2002 Two discrete fractional integral operators revisited. Zbl 1029.39016 Stein, Elias M.; Wainger, Stephen 24 2002 Oscillatory integrals related to Carleson’s theorem. Zbl 0998.42007 Stein, Elias M.; Wainger, Stephen 43 2001 Discrete analogues in harmonic analysis. II: Fractional integration. Zbl 0972.42010 Stein, Elias M.; Wainger, Stephen 37 2000 Double Hilbert transforms along polynomial surfaces in \(\mathbb{R}^3\). Zbl 0959.42006 Carbery, Anthony; Wainger, Stephen; Wright, James 10 2000 Estimates for generalized Radon transforms in three and four dimensions. Zbl 0963.44002 Greenleaf, Allan; Seeger, Andreas; Wainger, Stephen 9 2000 Singular and maximal Radon transforms: Analysis and geometry. Zbl 0960.44001 Christ, Michael; Nagel, Alexander; Stein, Elias M.; Wainger, Stephen 81 1999 Discrete analogues in harmonic analysis. I: \(\ell^2\) estimates for singular Radon transforms. Zbl 0945.42009 Stein, Elias M.; Wainger, Stephen 45 1999 Classes of singular integral operators along variable lines. Zbl 0964.42003 Carbery, Anthony; Seeger, Andreas; Wainger, Stephen; Wright, James 38 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 18 1999 Classes of singular integrals along curves and surfaces. Zbl 0980.42010 Seeger, Andreas; Wainger, Stephen; Wright, James; Ziesler, Sarah 5 1999 Singular integrals associated to hypersurfaces: \(L^2\) theory. Zbl 0942.42007 Wainger, Stephen; Wright, James; Ziesler, Sarah 4 1999 Discrete analogues of singular and maximal Radon transforms. Zbl 0971.44003 Wainger, Stephen 2 1998 Spherical maximal operators on radial functions. Zbl 0914.42013 Seeger, Andreas; Wainger, Stephen; Wright, James 4 1997 Singular integrals and maximal functions associated to surfaces of revolution. Zbl 0893.42004 Kim, Weon-Ju; Wainger, Stephen; Wright, James; Ziesler, Sarah 36 1996 Pointwise convergence of spherical means. Zbl 0865.42015 Seeger, Andreas; Wainger, Stephen; Wright, James 17 1995 Hilbert transforms and maximal functions along variable flat plane curves. Zbl 0886.42014 Carbery, A.; Wainger, S.; Wright, J. 14 1995 Hilbert transforms and maximal functions associated to flat curves on the Heisenberg group. Zbl 0824.42013 Carbery, Anthony; Wainger, Stephen; Wright, James 7 1995 A variant of the notion of a space of homogeneous type. Zbl 0912.42011 Carbery, 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 0830.42005 Carbery, 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 0816.42010 Carbery, Anthony; Vance, James; Wainger, Stephen; Watson, David 17 1994 The Hilbert transform and maximal function along nonconvex curves in the plane. Zbl 0810.42011 Vance, James; Wainger, Stephen; Wright, James 10 1994 Averages over convex hypersurfaces. Zbl 0832.42010 Nagel, Alexander; Seeger, Andreas; Wainger, Stephen 29 1993 Dilations associated to flat curves. Zbl 0738.43006 Wainger, Stephen 4 1991 Discrete analogues of singular Radon transforms. Zbl 0718.42015 Stein, Elias M.; Wainger, S. 24 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. 134 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. 41 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 2 1989 Problems in harmonic analysis related to curves and surfaces with infinitely flat points. Zbl 0683.43004 Wainger, Stephen 1 1989 Convex hypersurfaces and Fourier transforms. Zbl 0666.42010 Bruna, Joaquim; Nagel, Alexander; Wainger, Stephen 61 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 16 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 35 1986 Averages and singular integrals over lower dimensional sets. Zbl 0627.42006 Wainger, Stephen 9 1986 \(L^ p\) bounds for Hilbert transforms along convex curves. Zbl 0641.42009 Cordoba, A.; Nagel, A.; Vance, J.; Wainger, S.; Weinberg, D. 8 1986 The Hilbert transform for convex curves in \(R^ n\). Zbl 0589.42014 Nagel, Alexander; Vance, James; Wainger, Stephen; Weinberg, David 6 1986 Balls and metrics defined by vector fields. I: Basic properties. Zbl 0578.32044 Nagel, Alexander; Stein, Elias M.; Wainger, Stephen 536 1985 Maximal functions for convex curves. Zbl 0657.42018 Nagel, Alexander; Vance, James; Wainger, Stephen; Weinberg, David 13 1985 Maximal functions related to convex polygonal lines. Zbl 0587.42011 Carlsson, Hasse; Wainger, Stephen 5 1985 On the multi-dimensional renewal theorem. Zbl 0543.60085 Carlsson, Hasse; Wainger, Stephen 5 1984 Hilbert transforms for convex curves. Zbl 0524.44001 Nagel, Alexander; Vance, James; Wainger, Stephen; Weinberg, David 42 1983 On certain aspects of differentiation theory. Zbl 0601.42016 Wainger, S. 1 1983 An asymptotic series expansion of the multidimensional renewal measure. Zbl 0502.60069 Carlsson, Hasse; Wainger, Stephen 5 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 33 1981 Limits of bounded holomorphic functions along curves. Zbl 0517.32003 Nagel, Alexander; Wainger, Stephen 1 1981 A note on limiting cases of Sobolev embeddings and convolution inequalities. Zbl 0437.35071 Brézis, Haïm; Wainger, Stephen 304 1980 \(L^p-L^q\) estimates for the Klein-Gordon equation. Zbl 0457.47040 Marshall, Bernard; Strauss, Walter; Wainger, Stephen 66 1980 \(L^p\)-\(L^q\) estimates for solutions of the Klein-Gordon equation. Zbl 0464.35080 Marshall, B.; Strauss, W.; Wainger, S. 2 1980 Hilbert transforms and maximal functions related to variable curves. Zbl 0463.42008 Nagel, Alexander; Stein, Elias M.; Wainger, Stephen 20 1979 Applications of Fourier transforms to averages over lower dimensional sets. Zbl 0415.42015 Wainger, Stephen 11 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 3 1979 Problems in harmonic analysis related to curvature. Zbl 0393.42010 Stein, Elias M.; Wainger, Stephen 258 1978 Differentiation in lacunary directions. Zbl 0391.42015 Nagel, Alexander; Stein, Elias M.; Wainger, Stephen 76 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 24 1977 On Hilbert transforms along curves. II. Zbl 0334.44012 Nagel, Alexander; Riviere, Nestor M.; Wainger, Stephen 34 1976 Hilbert transforms associated with plane curves. Zbl 0341.44005 Nagel, Alexander; Wainger, Stephen 26 1976 A maximal function associated to the curve \((t,t^2)\). Zbl 0325.43009 Nagel, Alexander; Riviere, Nestor; Wainger, Stephen 12 1976 Maximal functions associated to smooth curves. Zbl 0348.42016 Stein, Elias M.; Wainger, Stephen 10 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 38 1975 On Hilbert transforms along curves. Zbl 0293.44002 Nagel, Alexander; Riviere, Nestor; Wainger, Stephen 12 1974 Functions of probability measures. Zbl 0276.60018 Chover, J.; Ney, P.; Wainger, S. 140 1973 Degeneracy properties of subcritical branching processes. Zbl 0387.60097 Chover, J.; Ney, P.; Wainger, S. 80 1973 The nonexistence of the Yaglom limit for an age dependent subcritical branching process. Zbl 0271.60093 Kurtz, Thomas G.; Wainger, Stephen 2 1973 The renewal theorem for a random walk in two-dimensional time. Zbl 0239.60077 Ney, P.; Wainger, S. 6 1972 The estimation of an integral arising in multiplier transformations. Zbl 0202.12401 Stein, Elias M.; Wainger, Stephen 28 1970 A convolution structure for Jacobi series. Zbl 0186.12303 Askey, R.; Wainger, S. 49 1969 A problem of Wiener and the failure of a principle for Fourier series with positive coefficients. Zbl 0176.36801 Wainger, S. 7 1969 A dual convolution structure for Jacobi polynomials. Zbl 0174.36305 Askey, R.; Wainger, S. 9 1968 One-sided error estimates in renewal theory. Zbl 0187.41201 Stone, Charles; Wainger, Stephen 15 1967 Integrability theorems for Fourier series. Zbl 0136.36501 Askey, R.; Wainger, S. 31 1966 A transplantation theorem between ultraspherical series. Zbl 0135.27603 Askey, R.; Wainger, S. 16 1966 A transplantation theorem for ultraspherical coefficients. Zbl 0136.37201 Askey, R.; Wainger, S. 15 1966 Special trigonometric series in k-dimensions. Zbl 0136.36601 Wainger, S. 128 1965 Mean convergence of expansions in Laguerre und Hermite series. Zbl 0125.31301 Askey, R.; Wainger, S. 119 1965 On the behavior of special classes of ultraspherical expansions. I, II. Zbl 0132.29403 Askey, R.; Wainger, S. 27 1965 Analytic properties of expansions, and some variants of Parseval- Plancherel formulas. Zbl 0147.32902 Stein, Elias M.; Wainger, S. 8 1965 all cited Publications top 5 cited Publications all top 5 Cited by 1,945 Authors 42 Stein, Elias Menachem 31 Citti, Giovanna 31 Wainger, Stephen 26 Chen, Jiecheng 26 Fan, Dashan 24 Seeger, Andreas 21 Yang, Dachun 20 Karmanova, Mariya Borisovna 19 Garofalo, Nicola 19 Mirek, Mariusz 19 Saker, Samir H. 19 Wang, Yuebao 17 Krantz, Steven George 17 Wright, James Robert 16 Lee, Sanghyuk 15 Bramanti, Marco 15 Christ, Michael 15 Nagel, Alexander 15 Wu, Huoxiong 14 Capogna, Luca 14 Ding, Yong 14 Franchi, Bruno 14 Lu, Guozhen 14 Montanari, Annamaria 14 Raich, Andrew S. 14 Roos, Joris 14 Tikhonov, Sergey Yur’evich 13 Cianchi, Andrea 13 Grafakos, Loukas 13 Lacey, Michael T. 13 Li, Ji 13 Morbidelli, Daniele 12 Manfredini, Maria 12 McNeal, Jeffery D. 12 Pan, Yibiao 12 Pick, Luboš 12 Polidoro, Sergio 12 Ruzhansky, Michael V. 12 Street, Brian 12 Thangavelu, Sundaram 12 Vodop’yanov, Sergeĭ Konstantinovich 12 Yu, Haixia 11 Anderson, Theresa C. 11 Brandolini, Luca 11 Cowling, Michael G. 11 Greenblatt, Michael 11 He, Shaoyong 11 Iosevich, Alex 11 Müller, Detlef 11 Tang, Qihe 11 Xue, Qingying 10 Biagi, Stefano 10 Carbery, Anthony 10 Chen, Hua 10 Guo, Shaoming 10 Kim, Joonil 10 Liu, Feng 10 Liu, Honghai 10 Magyar, Akos 10 Ricci, Fulvio 10 Sheng, Baohuai 10 Watanabe, Toshiro 9 Askey, Richard Allen 9 Bonfiglioli, Andrea 9 Chang, Der-Chen E. 9 Daher, Radouan 9 Greshnov, Aleksandr Valer’evich 9 Han, Yongsheng 9 Hughes, Kevin 9 Krause, Ben 9 Niu, Pengcheng 9 Opic, Bohumír 9 Pinamonti, Andrea 9 Sarti, Alessandro 9 Sgibnev, Mikhaĭl Sergeevich 9 Wu, Xinfeng 9 Yabuta, Kôzô 9 Yao, Xiaohua 9 Ye, Zhuan 9 Yung, Polam 9 Zhong, Xin 8 Cook, Brian 8 Gressman, Philip T. 8 Lanconelli, Ermanno 8 Li, Junfeng 8 Nevo, Amos 8 Omey, Edward 8 Parissis, Ioannis R. 8 Saloff-Coste, Laurent 8 Sato, Shûichi 8 Sogge, Christopher D. 8 Stufler, Benedikt 8 Wadade, Hidemitsu 8 Wheeden, Richard Lee 8 Wick, Brett Duane 8 Yamazaki, Kazuo 8 Yu, Changjun 7 Appleby, John A. D. 7 Boggess, Albert 7 Delgado, Julio ...and 1,845 more Authors all top 5 Cited in 353 Serials 116 Journal of Mathematical Analysis and Applications 103 Journal of Functional Analysis 80 Transactions of the American Mathematical Society 74 Proceedings of the American Mathematical Society 73 The Journal of Geometric Analysis 54 Advances in Mathematics 48 The Journal of Fourier Analysis and Applications 47 Mathematische Zeitschrift 45 Mathematische Annalen 38 Duke Mathematical Journal 37 Journal d’Analyse Mathématique 37 Journal of Differential Equations 36 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 36 Siberian Mathematical Journal 29 Journal of Approximation Theory 25 Mathematische Nachrichten 22 Arkiv för Matematik 22 Revista Matemática Iberoamericana 22 Stochastic Processes and their Applications 21 Annales de l’Institut Fourier 21 Acta Mathematica Sinica. English Series 20 Tôhoku Mathematical Journal. Second Series 20 Journal of Inequalities and Applications 19 Potential Analysis 18 Mathematical Notes 18 Annali di Matematica Pura ed Applicata. Serie Quarta 18 Communications in Partial Differential Equations 18 Journal de Mathématiques Pures et Appliquées. Neuvième Série 17 Statistics & Probability Letters 16 Calculus of Variations and Partial Differential Equations 15 Analysis Mathematica 15 Comptes Rendus. Mathématique. Académie des Sciences, Paris 14 Israel Journal of Mathematics 14 Integral Equations and Operator Theory 14 Doklady Mathematics 14 Complex Variables and Elliptic Equations 13 Communications in Mathematical Physics 13 Mathematical Methods in the Applied Sciences 13 Forum Mathematicum 13 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 13 Science China. Mathematics 12 Lithuanian Mathematical Journal 12 Inventiones Mathematicae 12 Memoirs of the American Mathematical Society 12 Communications in Contemporary Mathematics 12 Communications on Pure and Applied Analysis 11 Studia Mathematica 10 Applicable Analysis 10 Monatshefte für Mathematik 10 Proceedings of the Edinburgh Mathematical Society. Series II 10 Zeitschrift für Analysis und ihre Anwendungen 10 Bulletin of the American Mathematical Society. New Series 10 Bulletin des Sciences Mathématiques 10 Banach Journal of Mathematical Analysis 10 Analysis & PDE 10 Journal of Pseudo-Differential Operators and Applications 9 Ukrainian Mathematical Journal 9 Acta Mathematica 9 Illinois Journal of Mathematics 9 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 9 Probability Theory and Related Fields 8 Mathematical Proceedings of the Cambridge Philosophical Society 8 Rocky Mountain Journal of Mathematics 8 Journal of Soviet Mathematics 8 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 7 Advances in Applied Probability 7 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 7 Bulletin of the London Mathematical Society 7 Journal of Applied Probability 7 Journal of the Mathematical Society of Japan 7 Manuscripta Mathematica 7 Insurance Mathematics & Economics 7 Acta Mathematica Hungarica 7 Journal of the American Mathematical Society 7 Abstract and Applied Analysis 7 Discrete and Continuous Dynamical Systems. Series B 7 Journal of the Australian Mathematical Society 7 Analysis in Theory and Applications 7 Mediterranean Journal of Mathematics 7 Boundary Value Problems 7 Complex Analysis and Operator Theory 7 Frontiers of Mathematics in China 6 Journal of Computational and Applied Mathematics 6 Journal of the London Mathematical Society. Second Series 6 Results in Mathematics 6 Acta Mathematicae Applicatae Sinica. English Series 6 Journal of Theoretical Probability 6 Russian Mathematics 6 Applied Mathematics. Series B (English Edition) 6 Journal of Mathematical Sciences (New York) 6 Electronic Journal of Probability 6 Discrete and Continuous Dynamical Systems 6 Journal of Mathematical Fluid Mechanics 5 Colloquium Mathematicum 5 Mathematika 5 Osaka Journal of Mathematics 5 Chinese Annals of Mathematics. Series B 5 Acta Applicandae Mathematicae 5 The Annals of Applied Probability 5 SIAM Journal on Mathematical Analysis ...and 253 more Serials all top 5 Cited in 54 Fields 925 Harmonic analysis on Euclidean spaces (42-XX) 641 Partial differential equations (35-XX) 302 Functional analysis (46-XX) 214 Probability theory and stochastic processes (60-XX) 199 Several complex variables and analytic spaces (32-XX) 196 Operator theory (47-XX) 149 Abstract harmonic analysis (43-XX) 142 Real functions (26-XX) 136 Differential geometry (53-XX) 132 Fluid mechanics (76-XX) 107 Integral transforms, operational calculus (44-XX) 102 Global analysis, analysis on manifolds (58-XX) 92 Topological groups, Lie groups (22-XX) 77 Approximations and expansions (41-XX) 68 Special functions (33-XX) 64 Number theory (11-XX) 56 Statistics (62-XX) 48 Calculus of variations and optimal control; optimization (49-XX) 43 Potential theory (31-XX) 42 Measure and integration (28-XX) 42 Functions of a complex variable (30-XX) 41 Integral equations (45-XX) 36 Dynamical systems and ergodic theory (37-XX) 36 Numerical analysis (65-XX) 32 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 27 Quantum theory (81-XX) 23 Difference and functional equations (39-XX) 22 Combinatorics (05-XX) 22 Sequences, series, summability (40-XX) 20 Ordinary differential equations (34-XX) 18 Biology and other natural sciences (92-XX) 17 Convex and discrete geometry (52-XX) 17 Mechanics of deformable solids (74-XX) 11 Statistical mechanics, structure of matter (82-XX) 10 Computer science (68-XX) 9 Geophysics (86-XX) 8 Information and communication theory, circuits (94-XX) 7 Geometry (51-XX) 7 Classical thermodynamics, heat transfer (80-XX) 7 Systems theory; control (93-XX) 6 Nonassociative rings and algebras (17-XX) 6 General topology (54-XX) 6 Manifolds and cell complexes (57-XX) 6 Operations research, mathematical programming (90-XX) 5 Algebraic geometry (14-XX) 5 Optics, electromagnetic theory (78-XX) 4 General and overarching topics; collections (00-XX) 4 Group theory and generalizations (20-XX) 4 Mechanics of particles and systems (70-XX) 3 History and biography (01-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Commutative algebra (13-XX) 1 Algebraic topology (55-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.