Edit Profile (opens in new tab) Gundy, Richard F. Compute Distance To: Compute Author ID: gundy.richard-f Published as: Gundy, R. F.; Gundy, Richard F.; Gundy, Richard; Gundy, R. more...less Documents Indexed: 43 Publications since 1965, including 2 Books Co-Authors: 19 Co-Authors with 25 Joint Publications 660 Co-Co-Authors all top 5 Co-Authors 18 single-authored 6 Burkholder, Donald L. 4 Silverstein, Martin L. 2 Hitczenko, Paweł 2 Iribarren, Ileana 2 Stein, Elias Menachem 2 Varopoulos, Nicholas Theodore 2 Wheeden, Richard Lee 2 Yor, Marc 1 Azéma, Jacques 1 Azencott, Robert 1 Eagleson, G. K. 1 Fefferman, Ronald Raphaël 1 Guivarc’h, Yves 1 Hennequin, Paul-Louis 1 Jonsson, Adam Lars 1 Kahane, Jean-Pierre 1 Kazarian, Kazaros S. 1 Siegmund, David O. 1 Stroock, Daniel W. 1 Vergne, Michèle all top 5 Serials 3 Studia Mathematica 3 Annals of Mathematical Statistics 2 Annales de l’Institut Fourier 2 Transactions of the American Mathematical Society 2 Proceedings of the National Academy of Sciences of the United States of America 2 SIAM Journal on Mathematical Analysis 2 Comptes Rendus de l’Académie des Sciences. Série I 2 Notices of the American Mathematical Society 2 Applied and Computational Harmonic Analysis 1 Arkiv för Matematik 1 Acta Mathematica 1 The Annals of Probability 1 Indiana University Mathematics Journal 1 Journal of Functional Analysis 1 Michigan Mathematical Journal 1 The Journal of Geometric Analysis 1 Potential Analysis 1 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 1 Lecture Notes in Mathematics 1 Regional Conference Series in Mathematics all top 5 Fields 21 Probability theory and stochastic processes (60-XX) 16 Harmonic analysis on Euclidean spaces (42-XX) 6 Potential theory (31-XX) 5 Functions of a complex variable (30-XX) 4 Measure and integration (28-XX) 3 Real functions (26-XX) 3 Functional analysis (46-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Operator theory (47-XX) 1 History and biography (01-XX) 1 Partial differential equations (35-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Numerical analysis (65-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 35 Publications have been cited 691 times in 565 Documents Cited by ▼ Year ▼ Extrapolation and interpolation of quasi-linear operators on martingales. Zbl 0223.60021Burkholder, D. L.; Gundy, R. F. 153 1970 \(H^p\) theory for the poly-disc. Zbl 0405.32002Gundy, R. F.; Stein, Elias M. 92 1979 Integral inequalities for convex functions of operators on martingales. Zbl 0253.60056Burkholder, D. L.; Davis, B. J.; Gundy, R. F. 67 1972 A maximal function characterization of the class \(H^{\mathfrak p}\). Zbl 0223.30048Burkholder, D. L.; Gundy, R. F.; Silverstein, M. L. 66 1971 Distribution function inequalities for the area integral. Zbl 0219.31009Burkholder, D. L.; Gundy, R. F. 36 1972 Weighted integral inequalities for the nontangential maximal function, Lusin area integral, and Walsh-Paley series. Zbl 0271.28002Gundy, R. F.; Wheeden, R. L. 33 1974 Martingale theory and pointwise convergence of certain orthogonal series. Zbl 0158.35801Gundy, R. F. 30 1966 Sur les transformations de Riesz pour le semi-groupe d’Ornstein- Uhlenbeck. (Riesz’s transformation on the Ornstein-Uhlenbeck process). Zbl 0606.60063Gundy, Richard F. 28 1986 Les transformations de Riesz et les intégrales stochastiques. Zbl 0413.60003Gundy, Richard F.; Varopoulos, Nicolas Th. 25 1979 A decomposition for L-bounded martingales. Zbl 0185.45102Gundy, R. F. 21 1968 On the class L log L, martingales, and singular integrals. Zbl 0181.44202Gundy, R. F. 14 1969 Low-pass filters, martingales, and multiresolution analyses. Zbl 0980.42033Gundy, Richard F. 12 2000 Some topics in probability and analysis. Zbl 0673.60050Gundy, Richard F. 11 1989 Sur l’intégrabilite uniforme des martingales continues. Zbl 0442.60046Azema, J.; Gundy, R. F.; Yor, M. 11 1980 The density of the area integral in \({\mathbb{R}}_+^{n+1}\). Zbl 0544.31012Gundy, R. F.; Silverstein, M. L. 11 1985 Characterizations of orthonormal scale functions: A probabilistic approach. Zbl 0986.42021Dobrić, V.; Gundy, R.; Hitczenko, P. 7 2000 On a probabilistic interpretation for the Riesz transforms. Zbl 0495.60053Gundy, Richard F.; Silverstein, Martin L. 7 1982 Weighted norm inequalities for the nontangential maximal function, Lusin area integral, and Walsh-Paley series. Zbl 0245.28003Gundy, R. F.; Wheeden, R. L. 7 1973 Inequalities for ratios of functionals of harmonic functions. Zbl 0512.31008Fefferman, Ronald Raphaël; Gundy, R.; Silverstein, M.; Stein, Elias M. 6 1982 Inégalités pour martingales à un et deux indices: L’espace \(H^p\). Zbl 0427.60046Gundy, R. F. 6 1980 On a theorem of F. and M. Riesz and an equation of A. Wald. Zbl 0466.31006Gundy, Richard F. 6 1981 A martingale that occurs in harmonic analysis. Zbl 0371.60058Gundy, R. F.; Varopoulos, N. Th. 6 1976 Ecole d’ete de probabilités de Saint-Flour VIII-1978. Edite par P. L. Hennequin. Zbl 0417.60001Azencott, R.; Guivarc’h, Yves; Gundy, R. F. 6 1980 Boundary behavior of harmonic functions in a half-space and Brownian motion. Zbl 0253.31010Burkholder, D. L.; Gundy, Richard F. 5 1973 The martingale version of a theorem of Marcinkiewicz and Zygmund. Zbl 0153.20901Gundy, R. F. 4 1967 On a stopping rule and the central limit theorem. Zbl 0155.25401Gundy, R. F.; Siegmund, D. 4 1967 Two remarks concerning wavelets: Cohen’s criterion for low-pass filters and Meyer’s theorem on linear independence. Zbl 0974.42024Gundy, Richard F. 4 1999 Scaling functions on \(\mathbb R^2\) for dilations of determinant \(\pm 2\). Zbl 1233.94005Gundy, Richard F.; Jonsson, Adam L. 3 2010 Tilings, scaling functions, and a Markov process. Zbl 1208.60076Gundy, Richard F. 3 2010 Stopping times and local convergence for spline wavelet expansions. Zbl 0965.42025Gundy, Richard F.; Kazarian, Kazaros 2 2000 On a theorem of Kabanov, Liptser and Shiryaev. Zbl 0504.60049Eagleson, G. K.; Gundy, R. F. 1 1983 On a class of martingale series. Zbl 0164.47202Gundy, R. F. 1 1968 Complete systems in \(I_2\) and a theorem of Renyi. Zbl 0178.52402Gundy, R. F. 1 1965 Extrapolation and interpolation of quasi-linear operators on martingales. Zbl 0223.60022Burkholder, D. L.; Gundy, R. F. 1 1971 Stability properties for a compactly supported prescale function. Zbl 0971.42025Dobric, V.; Gundy, R. F.; Hitczenko, P. 1 2000 Scaling functions on \(\mathbb R^2\) for dilations of determinant \(\pm 2\). Zbl 1233.94005Gundy, Richard F.; Jonsson, Adam L. 3 2010 Tilings, scaling functions, and a Markov process. Zbl 1208.60076Gundy, Richard F. 3 2010 Low-pass filters, martingales, and multiresolution analyses. Zbl 0980.42033Gundy, Richard F. 12 2000 Characterizations of orthonormal scale functions: A probabilistic approach. Zbl 0986.42021Dobrić, V.; Gundy, R.; Hitczenko, P. 7 2000 Stopping times and local convergence for spline wavelet expansions. Zbl 0965.42025Gundy, Richard F.; Kazarian, Kazaros 2 2000 Stability properties for a compactly supported prescale function. Zbl 0971.42025Dobric, V.; Gundy, R. F.; Hitczenko, P. 1 2000 Two remarks concerning wavelets: Cohen’s criterion for low-pass filters and Meyer’s theorem on linear independence. Zbl 0974.42024Gundy, Richard F. 4 1999 Some topics in probability and analysis. Zbl 0673.60050Gundy, Richard F. 11 1989 Sur les transformations de Riesz pour le semi-groupe d’Ornstein- Uhlenbeck. (Riesz’s transformation on the Ornstein-Uhlenbeck process). Zbl 0606.60063Gundy, Richard F. 28 1986 The density of the area integral in \({\mathbb{R}}_+^{n+1}\). Zbl 0544.31012Gundy, R. F.; Silverstein, M. L. 11 1985 On a theorem of Kabanov, Liptser and Shiryaev. Zbl 0504.60049Eagleson, G. K.; Gundy, R. F. 1 1983 On a probabilistic interpretation for the Riesz transforms. Zbl 0495.60053Gundy, Richard F.; Silverstein, Martin L. 7 1982 Inequalities for ratios of functionals of harmonic functions. Zbl 0512.31008Fefferman, Ronald Raphaël; Gundy, R.; Silverstein, M.; Stein, Elias M. 6 1982 On a theorem of F. and M. Riesz and an equation of A. Wald. Zbl 0466.31006Gundy, Richard F. 6 1981 Sur l’intégrabilite uniforme des martingales continues. Zbl 0442.60046Azema, J.; Gundy, R. F.; Yor, M. 11 1980 Inégalités pour martingales à un et deux indices: L’espace \(H^p\). Zbl 0427.60046Gundy, R. F. 6 1980 Ecole d’ete de probabilités de Saint-Flour VIII-1978. Edite par P. L. Hennequin. Zbl 0417.60001Azencott, R.; Guivarc’h, Yves; Gundy, R. F. 6 1980 \(H^p\) theory for the poly-disc. Zbl 0405.32002Gundy, R. F.; Stein, Elias M. 92 1979 Les transformations de Riesz et les intégrales stochastiques. Zbl 0413.60003Gundy, Richard F.; Varopoulos, Nicolas Th. 25 1979 A martingale that occurs in harmonic analysis. Zbl 0371.60058Gundy, R. F.; Varopoulos, N. Th. 6 1976 Weighted integral inequalities for the nontangential maximal function, Lusin area integral, and Walsh-Paley series. Zbl 0271.28002Gundy, R. F.; Wheeden, R. L. 33 1974 Weighted norm inequalities for the nontangential maximal function, Lusin area integral, and Walsh-Paley series. Zbl 0245.28003Gundy, R. F.; Wheeden, R. L. 7 1973 Boundary behavior of harmonic functions in a half-space and Brownian motion. Zbl 0253.31010Burkholder, D. L.; Gundy, Richard F. 5 1973 Integral inequalities for convex functions of operators on martingales. Zbl 0253.60056Burkholder, D. L.; Davis, B. J.; Gundy, R. F. 67 1972 Distribution function inequalities for the area integral. Zbl 0219.31009Burkholder, D. L.; Gundy, R. F. 36 1972 A maximal function characterization of the class \(H^{\mathfrak p}\). Zbl 0223.30048Burkholder, D. L.; Gundy, R. F.; Silverstein, M. L. 66 1971 Extrapolation and interpolation of quasi-linear operators on martingales. Zbl 0223.60022Burkholder, D. L.; Gundy, R. F. 1 1971 Extrapolation and interpolation of quasi-linear operators on martingales. Zbl 0223.60021Burkholder, D. L.; Gundy, R. F. 153 1970 On the class L log L, martingales, and singular integrals. Zbl 0181.44202Gundy, R. F. 14 1969 A decomposition for L-bounded martingales. Zbl 0185.45102Gundy, R. F. 21 1968 On a class of martingale series. Zbl 0164.47202Gundy, R. F. 1 1968 The martingale version of a theorem of Marcinkiewicz and Zygmund. Zbl 0153.20901Gundy, R. F. 4 1967 On a stopping rule and the central limit theorem. Zbl 0155.25401Gundy, R. F.; Siegmund, D. 4 1967 Martingale theory and pointwise convergence of certain orthogonal series. Zbl 0158.35801Gundy, R. F. 30 1966 Complete systems in \(I_2\) and a theorem of Renyi. Zbl 0178.52402Gundy, R. F. 1 1965 all cited Publications top 5 cited Publications all top 5 Cited by 629 Authors 15 Lu, Guozhen 14 Li, Ji 14 Weisz, Ferenc 13 Bañuelos, Rodrigo 12 Ding, Wei 11 Han, Yongsheng 11 Jiao, Yong 11 Osękowski, Adam 9 Khoshnevisan, Davar 9 Lee, Ming-Yi 9 Yang, Dachun 8 Gundy, Richard F. 8 He, Shaoyong 8 Tan, Chaoqiang 7 Chen, Jiecheng 7 Gevorkyan, Gegham G. 7 Martell, José María (Chema) 7 Wu, Lian 7 Zhu, Yueping 6 Duong, Xuan Thinh 6 Lin, Chincheng 6 Mauceri, Giancarlo 6 Pérez, Carlos 6 Sjogren, Peter 6 Wheeden, Richard Lee 5 Burkholder, Donald L. 5 Chevalier, Lucien 5 Conus, Daniel 5 Davis, Burgess 5 Dutkay, Dorin Ervin 5 Dziubański, Jacek 5 Junge, Marius 5 Kenig, Carlos Eduardo 5 Meda, Stefano 5 Pipher, Jill Catherine 5 Song, Liang 5 Torchinsky, Alberto 5 Varopoulos, Nicholas Theodore 5 Volberg, Alexander Lvovich 5 Xu, Quanhua 4 Baudoin, Fabrice 4 Bownik, Marcin 4 Chen, Jiao 4 Domelevo, Komla 4 Fefferman, Charles Louis 4 Fefferman, Robert A. 4 Jørgensen, Palle E. T. 4 Joseph, Mathew 4 Li, Baode 4 Liu, Suying 4 Petermichl, Stefanie 4 Randrianantoanina, Narcisse 4 Scotto, Roberto 4 Stein, Elias Menachem 4 Wang, Hua 4 Ward, Lesley A. 4 Yor, Marc 3 Arcozzi, Nicola 3 Borovitskiĭ, Vyacheslav A. 3 Chanillo, Sagun 3 Chen, Li 3 Chen, Peng 3 de la Peña, Victor H. 3 Ding, Yong 3 Forzani, Liliana 3 Giles, Michael B. 3 Gushchin, Anatoliĭ Konstantinovich 3 Hitczenko, Paweł 3 Imkeller, Peter 3 Ivanisvili, Paata 3 Jiménez-del-Toro, Ana 3 Kovač, Vjekoslav 3 Li, Xiang-Dong 3 Li, Zhengyang 3 Matsuoka, Cho-ichiro 3 McConnell, Terry R. 3 Mogyorodi, Jozsef 3 Moore, Charles Nelson 3 Navasardyan, Karen Arshaluĭsovich 3 Osipov, Nikolay N. 3 Pacchiarotti, Barbara 3 Parcet, Javier 3 Picardello, Massimo Angelo 3 Ruan, Zhuoping 3 Shiu, Shang-Yuan 3 Sukochev, Fedor Anatol’evich 3 The Anh Bui 3 Weiss, Guido Leopold 3 Wick, Brett Duane 3 Wu, Xinfeng 3 Xie, Guangheng 3 Yan, Lixin 3 Zheng, Taotao 2 Barlow, Martin T. 2 Bates, Erik 2 Betancor Perez, Jorge Juan 2 Bichteler, Klaus 2 Bismut, Jean-Michel 2 Blasco, Oscar 2 Brevig, Ole Fredrik ...and 529 more Authors all top 5 Cited in 153 Serials 36 Journal of Functional Analysis 28 Transactions of the American Mathematical Society 21 Proceedings of the American Mathematical Society 18 Journal of Mathematical Analysis and Applications 15 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 14 Advances in Mathematics 14 Potential Analysis 13 The Journal of Fourier Analysis and Applications 12 Analysis Mathematica 12 Stochastic Processes and their Applications 11 Probability Theory and Related Fields 11 The Journal of Geometric Analysis 10 Arkiv för Matematik 9 Mathematical Notes 9 Annales de l’Institut Fourier 9 Mathematische Zeitschrift 8 Israel Journal of Mathematics 8 Duke Mathematical Journal 8 Tôhoku Mathematical Journal. Second Series 8 Statistics & Probability Letters 7 The Annals of Probability 7 Mathematische Annalen 7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 7 Acta Mathematica Hungarica 7 Forum Mathematicum 6 Revista Matemática Iberoamericana 6 Applied and Computational Harmonic Analysis 6 Acta Mathematica Sinica. English Series 6 Science China. Mathematics 5 Rocky Mountain Journal of Mathematics 5 Archiv der Mathematik 5 Journal of Approximation Theory 5 Journal of Soviet Mathematics 5 Memoirs of the American Mathematical Society 5 Journal of Theoretical Probability 5 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 5 Bulletin of the American Mathematical Society. New Series 5 Electronic Journal of Probability 4 Acta Mathematica 4 Illinois Journal of Mathematics 4 The Annals of Applied Probability 4 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 4 Bulletin of the American Mathematical Society 3 Stochastics 3 Integral Equations and Operator Theory 3 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section B. Calcul des Probabilités et Statistique 3 Applied Mathematics. Series B (English Edition) 3 Abstract and Applied Analysis 3 Wuhan University Journal of Natural Sciences (WUJNS) 3 Annals of Mathematics. Second Series 3 Acta Mathematica Scientia. Series B. (English Edition) 3 Journal of Function Spaces and Applications 3 Frontiers of Mathematics in China 3 Banach Journal of Mathematical Analysis 3 Journal of Function Spaces 2 Communications in Mathematical Physics 2 Journal d’Analyse Mathématique 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Periodica Mathematica Hungarica 2 Studia Mathematica 2 Ukrainian Mathematical Journal 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Czechoslovak Mathematical Journal 2 Inventiones Mathematicae 2 Journal of the London Mathematical Society. Second Series 2 Mathematische Nachrichten 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Constructive Approximation 2 Journal of Scientific Computing 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Linear Algebra and its Applications 2 Journal of Mathematical Sciences (New York) 2 St. Petersburg Mathematical Journal 2 Bernoulli 2 Sbornik: Mathematics 2 Doklady Mathematics 2 Journal of Inequalities and Applications 2 Revista Matemática Complutense 2 Stochastics 2 Analysis and Mathematical Physics 2 Stochastic and Partial Differential Equations. Analysis and Computations 2 Modern Stochastics. Theory and Applications 2 Discrete Analysis 1 Acta Mathematica Academiae Scientiarum Hungaricae 1 Applicable Analysis 1 The Canadian Journal of Statistics 1 Indian Journal of Pure & Applied Mathematics 1 Mathematics of Computation 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Bulletin de la Société Mathématique de France 1 Canadian Journal of Mathematics 1 Indiana University Mathematics Journal 1 Journal of the Korean Mathematical Society 1 Journal of Multivariate Analysis 1 Journal of Optimization Theory and Applications 1 Journal für die Reine und Angewandte Mathematik 1 Manuscripta Mathematica 1 Monatshefte für Mathematik 1 Osaka Journal of Mathematics 1 Pacific Journal of Mathematics ...and 53 more Serials all top 5 Cited in 38 Fields 288 Harmonic analysis on Euclidean spaces (42-XX) 248 Probability theory and stochastic processes (60-XX) 129 Functional analysis (46-XX) 56 Operator theory (47-XX) 44 Partial differential equations (35-XX) 30 Functions of a complex variable (30-XX) 30 Potential theory (31-XX) 18 Several complex variables and analytic spaces (32-XX) 17 Abstract harmonic analysis (43-XX) 14 Measure and integration (28-XX) 14 Global analysis, analysis on manifolds (58-XX) 11 Approximations and expansions (41-XX) 11 Integral transforms, operational calculus (44-XX) 11 Numerical analysis (65-XX) 9 Dynamical systems and ergodic theory (37-XX) 9 Statistics (62-XX) 8 Real functions (26-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Sequences, series, summability (40-XX) 5 Topological groups, Lie groups (22-XX) 5 Information and communication theory, circuits (94-XX) 4 Number theory (11-XX) 4 Ordinary differential equations (34-XX) 4 Differential geometry (53-XX) 4 Statistical mechanics, structure of matter (82-XX) 4 Operations research, mathematical programming (90-XX) 3 Combinatorics (05-XX) 3 Special functions (33-XX) 3 Difference and functional equations (39-XX) 3 Systems theory; control (93-XX) 2 History and biography (01-XX) 2 Biology and other natural sciences (92-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Integral equations (45-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Geometry (51-XX) 1 General topology (54-XX) 1 Geophysics (86-XX) Citations by Year