Edit Profile Davie, Alexander M. Compute Distance To: Compute Author ID: davie.alexander-m Published as: Davie, A. M.; Davie, Alexander; Davie, Alexander M. Documents Indexed: 55 Publications since 1969, including 1 Book all top 5 Co-Authors 34 single-authored 5 Øksendal, Bernt Karsten 2 Gamelin, Theodore W. 1 Bernard, Alain 1 Blecher, David P. 1 Briem, Eggert 1 Byatt-Smith, John G. B. 1 Campbell, Eddy A. 1 Crabb, M. J. 1 Dales, H. Garth 1 Dutta, Tridib Kumar 1 Gaines, J. G. 1 Garnett, John Brady 1 Jewell, Nicholas P. 1 Smyth, Christopher J. 1 Stothers, A. J. 1 Stray, Arne 1 Theobald, Chris M. 1 Urbański, Mariusz 1 Wilken, Donald R. 1 Zdunik, Anna all top 5 Serials 6 Bulletin of the London Mathematical Society 6 Journal of Functional Analysis 4 Journal of the London Mathematical Society. Second Series 3 Pacific Journal of Mathematics 3 Proceedings of the American Mathematical Society 2 Nonlinearity 2 Journal of Approximation Theory 2 Transactions of the American Mathematical Society 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Archive for Rational Mechanics and Analysis 1 Communications in Mathematical Physics 1 Mathematics of Computation 1 Acta Mathematica 1 American Journal of Mathematics 1 Annales de l’Institut Fourier 1 Normat 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Proceedings of the London Mathematical Society. Third Series 1 Journal of Operator Theory 1 Physica D 1 IMRN. International Mathematics Research Notices 1 Communications in Statistics. Theory and Methods 1 AMRX. Applied Mathematics Research eXpress 1 Publications Mathématiques d’Orsay all top 5 Fields 24 Functional analysis (46-XX) 15 Functions of a complex variable (30-XX) 10 Operator theory (47-XX) 7 Probability theory and stochastic processes (60-XX) 5 Dynamical systems and ergodic theory (37-XX) 3 Measure and integration (28-XX) 3 Potential theory (31-XX) 3 Ordinary differential equations (34-XX) 3 Numerical analysis (65-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 1 General and overarching topics; collections (00-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Real functions (26-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 50 Publications have been cited 565 times in 529 Documents Cited by ▼ Year ▼ A theorem on polynomial-star approximation. Zbl 0683.46037Davie, A. M.; Gamelin, T. W. 71 1989 Convergence of numerical schemes for the solution of parabolic stochastic partial differential equations. Zbl 0956.60064Davie, A. M.; Gaines, J. G. 53 2001 Differential equations driven by rough paths: An approach via discrete approximation. Zbl 1163.34005Davie, A. M. 38 2008 Quotient algebras of uniform algebras. Zbl 0264.46055Davie, A. M. 36 1973 Toeplitz operators in several complex variables. Zbl 0374.47011Davie, A. M.; Jewell, N. P. 31 1977 The approximation problem for Banach spaces. Zbl 0267.46013Davie, A. M. 31 1973 The critical function for the semistandard map. Zbl 0997.37500Davie, A. M. 29 1994 Uniqueness of solutions of stochastic differential equations. Zbl 1139.60028Davie, A. M. 25 2007 Von Neumann’s inequality for Hilbert space operators. Zbl 0301.47007Crabb, M. J.; Davie, A. M. 24 1975 Brownian motions and generalized analytic and inner functions. Zbl 0386.30029Bernard, Alain; Campbell, Eddy A.; Davie, A. M. 22 1979 Quasianalytic Banach function algebras. Zbl 0254.46027Dales, H. G.; Davie, A. M. 22 1973 Distance estimates and pointwise bounded density. Zbl 0263.30033Davie, A. M.; Gamelin, T. W.; Garnett, J. 19 1973 Singular minimisers in the calculus of variations in one dimension. Zbl 0656.49005Davie, A. M. 18 1988 Bounded approximation and Dirichlet sets. Zbl 0205.42302Davie, A. M. 17 1970 Analytic capacity and approximation problems. Zbl 0263.30032Davie, A. M. 15 1972 Bounded limits of analytic functions. Zbl 0234.30040Davie, A. M. 11 1972 Analytic capacity and differentiability properties of finely harmonic functions. Zbl 0527.31001Davie, Alexander M.; Øksendal, Bernt 9 1982 Improved bound for complexity of matrix multiplication. Zbl 1276.65024Davie, A. M.; Stothers, A. J. 8 2013 Invariant subspaces for Bishop’s operators. Zbl 0287.47003Davie, A. M. 8 1974 Homotopy in Fréchet algebras. Zbl 0218.46044Davie, A. M. 8 1971 Dirichlet algebras of analytic functions. Zbl 0199.19803Davie, A. M. 7 1970 Real annihilating measures for \(R(K)\). Zbl 0205.42301Davie, A. M. 6 1970 A functional calculus for pairs of commuting contractions. Zbl 0291.47015Briem, E.; Davie, A. M.; Øksendal, Bernt K. 4 1974 Linear extension operators for spaces and algebras of functions. Zbl 0242.46041Davie, A. M. 4 1972 Peak interpolation sets for some algebras of analytic functions. Zbl 0218.46050Davie, A. M.; Øksendal, Bernt K. 4 1972 KMT theory applied to approximations of SDE. Zbl 1388.60116Davie, Alexander 3 2014 Period doubling for \(C^{2+\epsilon}\) mappings. Zbl 0906.58012Davie, A. M. 3 1996 Invariant subspaces for an operator on \(L^ 2(\Pi{})\) composed of a multiplication and a translation. Zbl 0743.47003Blecher, D. P.; Davie, A. M. 3 1990 Bounded approximation by analytic functions. Zbl 0241.30045Davie, A. M. 3 1972 An extension of Mel’nikov’s theorem. Zbl 0237.46058Davie, A. M.; Wilken, D. R. 3 1972 Maximizing measures on metrizable noncompact spaces. Zbl 1125.37034Davie, Alexander M.; Urbański, Mariusz; Zdunik, Anna 2 2007 The width of Arnold tongues for the sine circle map. Zbl 0886.58025Davie, A. M. 2 1996 Singular minimizers in the calculus of variations. Zbl 0663.49006Davie, A. M. 2 1987 Matrix norms related to Grothendieck’s inequality. Zbl 0611.46069Davie, A. M. 2 1985 The Banach approximation problem. Zbl 0299.46019Davie, A. M. 2 1975 A counterexample on dual Banach algebras. Zbl 0257.46107Davie, A. M. 2 1973 Interpolation sets for analytic functions. Zbl 0245.30037Davie, A. M.; Stray, A. 2 1972 Peak interpolation sets for some algebras of analytic functions. Zbl 0232.46055Davie, A. M.; Øksendal, Bernt K. 2 1972 Rational approximation on the union of sets. Zbl 0223.30050Davie, A. M.; Øksendal, Bernt K. 2 1971 An example on rational approximation. Zbl 0193.39303Davie, A. M. 2 1970 Group testing, the pooled hypergeometric distribution, and estimating the number of defectives in small populations. Zbl 1297.62035Theobald, C. M.; Davie, A. M. 1 2014 Individual path uniqueness of solutions of stochastic differential equations. Zbl 1223.60036Davie, Alexander M. 1 2011 Addendum: Pointwise limits of analytic functions. Zbl 1157.30320Davie, A. M. 1 2009 Pointwise limits of analytic functions. Zbl 1127.30015Davie, A. M. 1 2007 A rigorous proof of an exponentially small estimate for a boundary value arising from an ordinary differential equation. Zbl 0715.34107Byatt-Smith, J. G. B.; Davie, A. M. 1 1990 On a limiting fractal measure defined by conjugate algebraic integers. Zbl 0692.12002Davie, A. M.; Smyth, C. J. 1 1989 Classification of essentially normal operators. Zbl 0337.47010Davie, A. M. 1 1976 Power-bounded elements in a Q-algebra. Zbl 0281.46053Davie, A. M. 1 1974 Algebras of analytic functions on plane sets. Zbl 0221.30044Davie, A. M. 1 1970 Bounded approximation and Dirichlet algebras. Zbl 0246.46044Davie, A. M. 1 1969 KMT theory applied to approximations of SDE. Zbl 1388.60116Davie, Alexander 3 2014 Group testing, the pooled hypergeometric distribution, and estimating the number of defectives in small populations. Zbl 1297.62035Theobald, C. M.; Davie, A. M. 1 2014 Improved bound for complexity of matrix multiplication. Zbl 1276.65024Davie, A. M.; Stothers, A. J. 8 2013 Individual path uniqueness of solutions of stochastic differential equations. Zbl 1223.60036Davie, Alexander M. 1 2011 Addendum: Pointwise limits of analytic functions. Zbl 1157.30320Davie, A. M. 1 2009 Differential equations driven by rough paths: An approach via discrete approximation. Zbl 1163.34005Davie, A. M. 38 2008 Uniqueness of solutions of stochastic differential equations. Zbl 1139.60028Davie, A. M. 25 2007 Maximizing measures on metrizable noncompact spaces. Zbl 1125.37034Davie, Alexander M.; Urbański, Mariusz; Zdunik, Anna 2 2007 Pointwise limits of analytic functions. Zbl 1127.30015Davie, A. M. 1 2007 Convergence of numerical schemes for the solution of parabolic stochastic partial differential equations. Zbl 0956.60064Davie, A. M.; Gaines, J. G. 53 2001 Period doubling for \(C^{2+\epsilon}\) mappings. Zbl 0906.58012Davie, A. M. 3 1996 The width of Arnold tongues for the sine circle map. Zbl 0886.58025Davie, A. M. 2 1996 The critical function for the semistandard map. Zbl 0997.37500Davie, A. M. 29 1994 Invariant subspaces for an operator on \(L^ 2(\Pi{})\) composed of a multiplication and a translation. Zbl 0743.47003Blecher, D. P.; Davie, A. M. 3 1990 A rigorous proof of an exponentially small estimate for a boundary value arising from an ordinary differential equation. Zbl 0715.34107Byatt-Smith, J. G. B.; Davie, A. M. 1 1990 A theorem on polynomial-star approximation. Zbl 0683.46037Davie, A. M.; Gamelin, T. W. 71 1989 On a limiting fractal measure defined by conjugate algebraic integers. Zbl 0692.12002Davie, A. M.; Smyth, C. J. 1 1989 Singular minimisers in the calculus of variations in one dimension. Zbl 0656.49005Davie, A. M. 18 1988 Singular minimizers in the calculus of variations. Zbl 0663.49006Davie, A. M. 2 1987 Matrix norms related to Grothendieck’s inequality. Zbl 0611.46069Davie, A. M. 2 1985 Analytic capacity and differentiability properties of finely harmonic functions. Zbl 0527.31001Davie, Alexander M.; Øksendal, Bernt 9 1982 Brownian motions and generalized analytic and inner functions. Zbl 0386.30029Bernard, Alain; Campbell, Eddy A.; Davie, A. M. 22 1979 Toeplitz operators in several complex variables. Zbl 0374.47011Davie, A. M.; Jewell, N. P. 31 1977 Classification of essentially normal operators. Zbl 0337.47010Davie, A. M. 1 1976 Von Neumann’s inequality for Hilbert space operators. Zbl 0301.47007Crabb, M. J.; Davie, A. M. 24 1975 The Banach approximation problem. Zbl 0299.46019Davie, A. M. 2 1975 Invariant subspaces for Bishop’s operators. Zbl 0287.47003Davie, A. M. 8 1974 A functional calculus for pairs of commuting contractions. Zbl 0291.47015Briem, E.; Davie, A. M.; Øksendal, Bernt K. 4 1974 Power-bounded elements in a Q-algebra. Zbl 0281.46053Davie, A. M. 1 1974 Quotient algebras of uniform algebras. Zbl 0264.46055Davie, A. M. 36 1973 The approximation problem for Banach spaces. Zbl 0267.46013Davie, A. M. 31 1973 Quasianalytic Banach function algebras. Zbl 0254.46027Dales, H. G.; Davie, A. M. 22 1973 Distance estimates and pointwise bounded density. Zbl 0263.30033Davie, A. M.; Gamelin, T. W.; Garnett, J. 19 1973 A counterexample on dual Banach algebras. Zbl 0257.46107Davie, A. M. 2 1973 Analytic capacity and approximation problems. Zbl 0263.30032Davie, A. M. 15 1972 Bounded limits of analytic functions. Zbl 0234.30040Davie, A. M. 11 1972 Linear extension operators for spaces and algebras of functions. Zbl 0242.46041Davie, A. M. 4 1972 Peak interpolation sets for some algebras of analytic functions. Zbl 0218.46050Davie, A. M.; Øksendal, Bernt K. 4 1972 Bounded approximation by analytic functions. Zbl 0241.30045Davie, A. M. 3 1972 An extension of Mel’nikov’s theorem. Zbl 0237.46058Davie, A. M.; Wilken, D. R. 3 1972 Interpolation sets for analytic functions. Zbl 0245.30037Davie, A. M.; Stray, A. 2 1972 Peak interpolation sets for some algebras of analytic functions. Zbl 0232.46055Davie, A. M.; Øksendal, Bernt K. 2 1972 Homotopy in Fréchet algebras. Zbl 0218.46044Davie, A. M. 8 1971 Rational approximation on the union of sets. Zbl 0223.30050Davie, A. M.; Øksendal, Bernt K. 2 1971 Bounded approximation and Dirichlet sets. Zbl 0205.42302Davie, A. M. 17 1970 Dirichlet algebras of analytic functions. Zbl 0199.19803Davie, A. M. 7 1970 Real annihilating measures for \(R(K)\). Zbl 0205.42301Davie, A. M. 6 1970 An example on rational approximation. Zbl 0193.39303Davie, A. M. 2 1970 Algebras of analytic functions on plane sets. Zbl 0221.30044Davie, A. M. 1 1970 Bounded approximation and Dirichlet algebras. Zbl 0246.46044Davie, A. M. 1 1969 all cited Publications top 5 cited Publications all top 5 Cited by 633 Authors 13 Maestre, Manuel 11 Carando, Daniel G. 11 García, Domingo 9 Lassalle, Silvia 9 Øksendal, Bernt Karsten 8 Gamelin, Theodore W. 8 Sevilla-Peris, Pablo 8 Sychev, Mikhail A. 7 Aron, Richard M. 7 Cao, Guangfu 7 Defant, Andreas 7 Tindel, Samy 7 Zhao, Houyu 6 Davie, Alexander M. 6 Dimant, Verónica 6 Jentzen, Arnulf 6 Gonzáles Llavona, José Luis 6 Pellegrino, Daniel Marinho 6 Si, Jianguo 5 Baird, Paul 5 Brennan, James E. 5 Deya, Aurélien 5 Gubinelli, Massimiliano 5 Gutiérrez, Joaquín M. 5 Hairer, Martin 5 Moraes, Luiza Amalia 5 Reinov, Oleg I. 4 Botelho, Geraldo 4 Choi, Yun Sung 4 Dixon, P. G. 4 Feinstein, Joel Francis 4 Friz, Peter Karl 4 Galindo, Pablo 4 Garnett, John Brady 4 Gentile, Guido 4 Gratwick, Richard 4 Kloeden, Peter Eris 4 Lourenço, Mary Lilian 4 Mizel, Victor J. 4 O’Farrell, Anthony G. 4 Prieto, Angeles 4 Seoane-Sepúlveda, Juan Benigno 4 Stray, Arne 4 Xia, Jingbo 3 Acosta Vigil, María Dolores 3 Alnafisah, Yousef 3 Blei, Ron C. 3 Boyd, Christopher 3 Das, Bata Krishna 3 Dehghan Takht Fooladi, Mehdi 3 Eschmeier, Jorg 3 Galicer, Daniel 3 García, Ricardo 3 Ghasemi Honary, Taher 3 González Ortiz, Manuel 3 Jaramillo, Jesús Angel 3 Kim, Ju Myung 3 Knese, Greg 3 Lee, Han Ju 3 Lejay, Antoine 3 Liu, Lingxia 3 Mahyar, Hakimeh 3 Muñoz-Fernández, Gustavo A. 3 Muro, Santiago 3 Neuenkirch, Andreas 3 Nilssen, Torstein K. 3 Palazuelos, Carlos 3 Paulsen, Vern Ival 3 Pérez-García, David 3 Priola, Enrico 3 Proske, Frank Norbert 3 Qiu, Zhijian 3 Rubel, Lee Albert 3 Sarkar, Jaydeb 3 Shirzadi, Mohammad 3 Tolsa, Xavier 3 Villanueva, Ignacio 3 Zagorodnyuk, Andriy V. 3 Zalduendo, Ignacio M. 2 Abdulle, Assyr 2 Aida, Shigeki 2 Alexander, Herbert J. 2 Badard, Robert 2 Bailleul, Ismaël F. 2 Ball, John M. 2 Bao, Feng 2 Barik, Sibaprasad 2 Bayart, Frédéric 2 Behrouzi, Farid 2 Bishop, Christopher James 2 Blecher, David P. 2 Brault, Antoine 2 Bréhier, Charles-Edouard 2 Brudnyi, Alexander 2 Cao, Yanzhao 2 Catsigeras, Eleonora 2 Chen, Borsen 2 Cilia, Raffaella 2 Cole, Brian J. 2 Csink, Laszlo ...and 533 more Authors all top 5 Cited in 176 Serials 47 Journal of Functional Analysis 31 Journal of Mathematical Analysis and Applications 26 Proceedings of the American Mathematical Society 21 Transactions of the American Mathematical Society 11 Annales de l’Institut Fourier 11 Mathematische Annalen 9 Integral Equations and Operator Theory 9 Stochastic Processes and their Applications 8 The Annals of Probability 8 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 7 Advances in Mathematics 6 Rocky Mountain Journal of Mathematics 6 Archiv der Mathematik 6 Journal of Approximation Theory 6 Journal of Soviet Mathematics 6 Proceedings of the Edinburgh Mathematical Society. Series II 6 Abstract and Applied Analysis 6 Bulletin of the American Mathematical Society 5 Archive for Rational Mechanics and Analysis 5 Israel Journal of Mathematics 5 Arkiv för Matematik 5 Applied Mathematics and Computation 5 Journal of Differential Equations 5 Publications of the Research Institute for Mathematical Sciences, Kyoto University 5 Siberian Mathematical Journal 5 Indagationes Mathematicae. New Series 5 Potential Analysis 5 Acta Mathematica Sinica. English Series 4 Journal of Mathematical Physics 4 Mathematical Proceedings of the Cambridge Philosophical Society 4 Glasgow Mathematical Journal 4 Inventiones Mathematicae 4 Journal of Computational and Applied Mathematics 4 Mathematische Nachrichten 4 Numerische Mathematik 4 Science in China. Series A 4 Linear Algebra and its Applications 3 Bulletin of the Australian Mathematical Society 3 Journal of Computational Physics 3 Mathematics of Computation 3 Acta Mathematica 3 BIT 3 Czechoslovak Mathematical Journal 3 Functiones et Approximatio. Commentarii Mathematici 3 Memoirs of the American Mathematical Society 3 Journal of Complexity 3 Journal of the American Mathematical Society 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Bernoulli 3 Revista Matemática Complutense 3 Computational Methods and Function Theory 3 Complex Analysis and Operator Theory 3 Banach Journal of Mathematical Analysis 2 Computers & Mathematics with Applications 2 Communications in Mathematical Physics 2 Communications on Pure and Applied Mathematics 2 Journal d’Analyse Mathématique 2 Mathematical Methods in the Applied Sciences 2 Chaos, Solitons and Fractals 2 Applied Mathematics and Optimization 2 Bulletin of the London Mathematical Society 2 Bulletin de la Société Mathématique de France 2 Collectanea Mathematica 2 Functional Analysis and its Applications 2 Fuzzy Sets and Systems 2 Journal für die Reine und Angewandte Mathematik 2 Mathematische Zeitschrift 2 Quaestiones Mathematicae 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 SIAM Journal on Numerical Analysis 2 Theoretical Computer Science 2 Topology and its Applications 2 Ergodic Theory and Dynamical Systems 2 Applied Numerical Mathematics 2 The Annals of Applied Probability 2 Applied Mathematics. Series B (English Edition) 2 St. Petersburg Mathematical Journal 2 Bulletin des Sciences Mathématiques 2 Engineering Analysis with Boundary Elements 2 Electronic Journal of Probability 2 Positivity 2 Annals of Mathematics. Second Series 2 Bulletin of the Brazilian Mathematical Society. New Series 2 Complex Variables and Elliptic Equations 2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 2 SIAM/ASA Journal on Uncertainty Quantification 1 Indian Journal of Pure & Applied Mathematics 1 Linear and Multilinear Algebra 1 Mathematical Notes 1 Physics Reports 1 Studia Mathematica 1 The Mathematical Intelligencer 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Annales Scientifiques de l’Université de Clermont-Ferrand II. Mathématiques 1 Compositio Mathematica 1 International Journal of Mathematics and Mathematical Sciences 1 Kyungpook Mathematical Journal 1 Manuscripta Mathematica 1 Mathematika ...and 76 more Serials all top 5 Cited in 48 Fields 231 Functional analysis (46-XX) 131 Operator theory (47-XX) 118 Probability theory and stochastic processes (60-XX) 78 Functions of a complex variable (30-XX) 58 Numerical analysis (65-XX) 40 Several complex variables and analytic spaces (32-XX) 39 Ordinary differential equations (34-XX) 38 Partial differential equations (35-XX) 20 Dynamical systems and ergodic theory (37-XX) 19 Calculus of variations and optimal control; optimization (49-XX) 16 Harmonic analysis on Euclidean spaces (42-XX) 15 Global analysis, analysis on manifolds (58-XX) 14 Approximations and expansions (41-XX) 11 Potential theory (31-XX) 11 Computer science (68-XX) 9 Difference and functional equations (39-XX) 8 Statistical mechanics, structure of matter (82-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 7 Measure and integration (28-XX) 7 Differential geometry (53-XX) 7 Statistics (62-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Combinatorics (05-XX) 4 Number theory (11-XX) 4 Real functions (26-XX) 4 Abstract harmonic analysis (43-XX) 4 Algebraic topology (55-XX) 4 Mechanics of particles and systems (70-XX) 4 Quantum theory (81-XX) 3 Nonassociative rings and algebras (17-XX) 3 Integral transforms, operational calculus (44-XX) 3 Convex and discrete geometry (52-XX) 3 Manifolds and cell complexes (57-XX) 3 Systems theory; control (93-XX) 2 Mathematical logic and foundations (03-XX) 2 Algebraic geometry (14-XX) 2 Associative rings and algebras (16-XX) 2 Integral equations (45-XX) 2 Mechanics of deformable solids (74-XX) 2 Fluid mechanics (76-XX) 1 History and biography (01-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Sequences, series, summability (40-XX) 1 General topology (54-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year