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Davie, Alexander M.

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Author ID: davie.alexander-m Recent zbMATH articles by "Davie, Alexander M."
Published as: Davie, A. M.; Davie, Alexander; Davie, Alexander M.
Documents Indexed: 55 Publications since 1969, including 1 Book

Publications by Year

Citations contained in zbMATH

50 Publications have been cited 565 times in 529 Documents Cited by Year
A theorem on polynomial-star approximation. Zbl 0683.46037
Davie, A. M.; Gamelin, T. W.
71
1989
Convergence of numerical schemes for the solution of parabolic stochastic partial differential equations. Zbl 0956.60064
Davie, A. M.; Gaines, J. G.
53
2001
Differential equations driven by rough paths: An approach via discrete approximation. Zbl 1163.34005
Davie, A. M.
38
2008
Quotient algebras of uniform algebras. Zbl 0264.46055
Davie, A. M.
36
1973
Toeplitz operators in several complex variables. Zbl 0374.47011
Davie, A. M.; Jewell, N. P.
31
1977
The approximation problem for Banach spaces. Zbl 0267.46013
Davie, A. M.
31
1973
The critical function for the semistandard map. Zbl 0997.37500
Davie, A. M.
29
1994
Uniqueness of solutions of stochastic differential equations. Zbl 1139.60028
Davie, A. M.
25
2007
Von Neumann’s inequality for Hilbert space operators. Zbl 0301.47007
Crabb, M. J.; Davie, A. M.
24
1975
Brownian motions and generalized analytic and inner functions. Zbl 0386.30029
Bernard, Alain; Campbell, Eddy A.; Davie, A. M.
22
1979
Quasianalytic Banach function algebras. Zbl 0254.46027
Dales, H. G.; Davie, A. M.
22
1973
Distance estimates and pointwise bounded density. Zbl 0263.30033
Davie, A. M.; Gamelin, T. W.; Garnett, J.
19
1973
Singular minimisers in the calculus of variations in one dimension. Zbl 0656.49005
Davie, A. M.
18
1988
Bounded approximation and Dirichlet sets. Zbl 0205.42302
Davie, A. M.
17
1970
Analytic capacity and approximation problems. Zbl 0263.30032
Davie, A. M.
15
1972
Bounded limits of analytic functions. Zbl 0234.30040
Davie, A. M.
11
1972
Analytic capacity and differentiability properties of finely harmonic functions. Zbl 0527.31001
Davie, Alexander M.; Øksendal, Bernt
9
1982
Improved bound for complexity of matrix multiplication. Zbl 1276.65024
Davie, A. M.; Stothers, A. J.
8
2013
Invariant subspaces for Bishop’s operators. Zbl 0287.47003
Davie, A. M.
8
1974
Homotopy in Fréchet algebras. Zbl 0218.46044
Davie, A. M.
8
1971
Dirichlet algebras of analytic functions. Zbl 0199.19803
Davie, A. M.
7
1970
Real annihilating measures for \(R(K)\). Zbl 0205.42301
Davie, A. M.
6
1970
A functional calculus for pairs of commuting contractions. Zbl 0291.47015
Briem, E.; Davie, A. M.; Øksendal, Bernt K.
4
1974
Linear extension operators for spaces and algebras of functions. Zbl 0242.46041
Davie, A. M.
4
1972
Peak interpolation sets for some algebras of analytic functions. Zbl 0218.46050
Davie, A. M.; Øksendal, Bernt K.
4
1972
KMT theory applied to approximations of SDE. Zbl 1388.60116
Davie, Alexander
3
2014
Period doubling for \(C^{2+\epsilon}\) mappings. Zbl 0906.58012
Davie, A. M.
3
1996
Invariant subspaces for an operator on \(L^ 2(\Pi{})\) composed of a multiplication and a translation. Zbl 0743.47003
Blecher, D. P.; Davie, A. M.
3
1990
Bounded approximation by analytic functions. Zbl 0241.30045
Davie, A. M.
3
1972
An extension of Mel’nikov’s theorem. Zbl 0237.46058
Davie, A. M.; Wilken, D. R.
3
1972
Maximizing measures on metrizable noncompact spaces. Zbl 1125.37034
Davie, Alexander M.; Urbański, Mariusz; Zdunik, Anna
2
2007
The width of Arnold tongues for the sine circle map. Zbl 0886.58025
Davie, A. M.
2
1996
Singular minimizers in the calculus of variations. Zbl 0663.49006
Davie, A. M.
2
1987
Matrix norms related to Grothendieck’s inequality. Zbl 0611.46069
Davie, A. M.
2
1985
The Banach approximation problem. Zbl 0299.46019
Davie, A. M.
2
1975
A counterexample on dual Banach algebras. Zbl 0257.46107
Davie, A. M.
2
1973
Interpolation sets for analytic functions. Zbl 0245.30037
Davie, A. M.; Stray, A.
2
1972
Peak interpolation sets for some algebras of analytic functions. Zbl 0232.46055
Davie, A. M.; Øksendal, Bernt K.
2
1972
Rational approximation on the union of sets. Zbl 0223.30050
Davie, A. M.; Øksendal, Bernt K.
2
1971
An example on rational approximation. Zbl 0193.39303
Davie, A. M.
2
1970
Group testing, the pooled hypergeometric distribution, and estimating the number of defectives in small populations. Zbl 1297.62035
Theobald, C. M.; Davie, A. M.
1
2014
Individual path uniqueness of solutions of stochastic differential equations. Zbl 1223.60036
Davie, Alexander M.
1
2011
Addendum: Pointwise limits of analytic functions. Zbl 1157.30320
Davie, A. M.
1
2009
Pointwise limits of analytic functions. Zbl 1127.30015
Davie, A. M.
1
2007
A rigorous proof of an exponentially small estimate for a boundary value arising from an ordinary differential equation. Zbl 0715.34107
Byatt-Smith, J. G. B.; Davie, A. M.
1
1990
On a limiting fractal measure defined by conjugate algebraic integers. Zbl 0692.12002
Davie, A. M.; Smyth, C. J.
1
1989
Classification of essentially normal operators. Zbl 0337.47010
Davie, A. M.
1
1976
Power-bounded elements in a Q-algebra. Zbl 0281.46053
Davie, A. M.
1
1974
Algebras of analytic functions on plane sets. Zbl 0221.30044
Davie, A. M.
1
1970
Bounded approximation and Dirichlet algebras. Zbl 0246.46044
Davie, A. M.
1
1969
KMT theory applied to approximations of SDE. Zbl 1388.60116
Davie, Alexander
3
2014
Group testing, the pooled hypergeometric distribution, and estimating the number of defectives in small populations. Zbl 1297.62035
Theobald, C. M.; Davie, A. M.
1
2014
Improved bound for complexity of matrix multiplication. Zbl 1276.65024
Davie, A. M.; Stothers, A. J.
8
2013
Individual path uniqueness of solutions of stochastic differential equations. Zbl 1223.60036
Davie, Alexander M.
1
2011
Addendum: Pointwise limits of analytic functions. Zbl 1157.30320
Davie, A. M.
1
2009
Differential equations driven by rough paths: An approach via discrete approximation. Zbl 1163.34005
Davie, A. M.
38
2008
Uniqueness of solutions of stochastic differential equations. Zbl 1139.60028
Davie, A. M.
25
2007
Maximizing measures on metrizable noncompact spaces. Zbl 1125.37034
Davie, Alexander M.; Urbański, Mariusz; Zdunik, Anna
2
2007
Pointwise limits of analytic functions. Zbl 1127.30015
Davie, A. M.
1
2007
Convergence of numerical schemes for the solution of parabolic stochastic partial differential equations. Zbl 0956.60064
Davie, A. M.; Gaines, J. G.
53
2001
Period doubling for \(C^{2+\epsilon}\) mappings. Zbl 0906.58012
Davie, A. M.
3
1996
The width of Arnold tongues for the sine circle map. Zbl 0886.58025
Davie, A. M.
2
1996
The critical function for the semistandard map. Zbl 0997.37500
Davie, A. M.
29
1994
Invariant subspaces for an operator on \(L^ 2(\Pi{})\) composed of a multiplication and a translation. Zbl 0743.47003
Blecher, 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 0715.34107
Byatt-Smith, J. G. B.; Davie, A. M.
1
1990
A theorem on polynomial-star approximation. Zbl 0683.46037
Davie, A. M.; Gamelin, T. W.
71
1989
On a limiting fractal measure defined by conjugate algebraic integers. Zbl 0692.12002
Davie, A. M.; Smyth, C. J.
1
1989
Singular minimisers in the calculus of variations in one dimension. Zbl 0656.49005
Davie, A. M.
18
1988
Singular minimizers in the calculus of variations. Zbl 0663.49006
Davie, A. M.
2
1987
Matrix norms related to Grothendieck’s inequality. Zbl 0611.46069
Davie, A. M.
2
1985
Analytic capacity and differentiability properties of finely harmonic functions. Zbl 0527.31001
Davie, Alexander M.; Øksendal, Bernt
9
1982
Brownian motions and generalized analytic and inner functions. Zbl 0386.30029
Bernard, Alain; Campbell, Eddy A.; Davie, A. M.
22
1979
Toeplitz operators in several complex variables. Zbl 0374.47011
Davie, A. M.; Jewell, N. P.
31
1977
Classification of essentially normal operators. Zbl 0337.47010
Davie, A. M.
1
1976
Von Neumann’s inequality for Hilbert space operators. Zbl 0301.47007
Crabb, M. J.; Davie, A. M.
24
1975
The Banach approximation problem. Zbl 0299.46019
Davie, A. M.
2
1975
Invariant subspaces for Bishop’s operators. Zbl 0287.47003
Davie, A. M.
8
1974
A functional calculus for pairs of commuting contractions. Zbl 0291.47015
Briem, E.; Davie, A. M.; Øksendal, Bernt K.
4
1974
Power-bounded elements in a Q-algebra. Zbl 0281.46053
Davie, A. M.
1
1974
Quotient algebras of uniform algebras. Zbl 0264.46055
Davie, A. M.
36
1973
The approximation problem for Banach spaces. Zbl 0267.46013
Davie, A. M.
31
1973
Quasianalytic Banach function algebras. Zbl 0254.46027
Dales, H. G.; Davie, A. M.
22
1973
Distance estimates and pointwise bounded density. Zbl 0263.30033
Davie, A. M.; Gamelin, T. W.; Garnett, J.
19
1973
A counterexample on dual Banach algebras. Zbl 0257.46107
Davie, A. M.
2
1973
Analytic capacity and approximation problems. Zbl 0263.30032
Davie, A. M.
15
1972
Bounded limits of analytic functions. Zbl 0234.30040
Davie, A. M.
11
1972
Linear extension operators for spaces and algebras of functions. Zbl 0242.46041
Davie, A. M.
4
1972
Peak interpolation sets for some algebras of analytic functions. Zbl 0218.46050
Davie, A. M.; Øksendal, Bernt K.
4
1972
Bounded approximation by analytic functions. Zbl 0241.30045
Davie, A. M.
3
1972
An extension of Mel’nikov’s theorem. Zbl 0237.46058
Davie, A. M.; Wilken, D. R.
3
1972
Interpolation sets for analytic functions. Zbl 0245.30037
Davie, A. M.; Stray, A.
2
1972
Peak interpolation sets for some algebras of analytic functions. Zbl 0232.46055
Davie, A. M.; Øksendal, Bernt K.
2
1972
Homotopy in Fréchet algebras. Zbl 0218.46044
Davie, A. M.
8
1971
Rational approximation on the union of sets. Zbl 0223.30050
Davie, A. M.; Øksendal, Bernt K.
2
1971
Bounded approximation and Dirichlet sets. Zbl 0205.42302
Davie, A. M.
17
1970
Dirichlet algebras of analytic functions. Zbl 0199.19803
Davie, A. M.
7
1970
Real annihilating measures for \(R(K)\). Zbl 0205.42301
Davie, A. M.
6
1970
An example on rational approximation. Zbl 0193.39303
Davie, A. M.
2
1970
Algebras of analytic functions on plane sets. Zbl 0221.30044
Davie, A. M.
1
1970
Bounded approximation and Dirichlet algebras. Zbl 0246.46044
Davie, A. M.
1
1969
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