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Beurling, Arne

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Author ID: beurling.arne Recent zbMATH articles by "Beurling, Arne"
Published as: Beurling, Arne; Beurling, A.
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Documents Indexed: 49 Publications since 1932, including 2 Books
Biographic References: 7 Publications

Publications by Year

Citations contained in zbMATH Open

46 Publications have been cited 1,802 times in 1,634 Documents Cited by Year
On two problems concerning linear transformations in Hilbert space. Zbl 0033.37701
Beurling, Arne
245
1949
The boundary correspondence under quasiconformal mappings. Zbl 0072.29602
Beurling, Arne; Ahlfors, Lars V.
242
1956
Confromal invariants and function-theoretic null-sets. Zbl 0041.20301
Ahlfors, Lars; Beurling, Arne
191
1950
Dirichlet spaces. Zbl 0089.08201
Beurling, A.; Deny, Jacques
128
1959
The collected works of Arne Beurling. Volume 1: Complex analysis. Volume 2: Harmonic analysis. Ed. by Lennart Carleson, Paul Malliavin, John Neuberger, John Wermer. Zbl 0732.01042
Beurling, Arne
96
1989
Espaces de Dirichlet. I: Le cas élémentaire. Zbl 0089.08106
Beurling, A.; Deny, Jacques
72
1958
Construction and analysis of some convolution algebras. Zbl 0133.07501
Beurling, Arne
71
1964
On Fourier transforms of measures with compact support. Zbl 0127.32601
Beurling, A.; Malliavin, P.
67
1962
On the closure of characters and the zeros of entire functions. Zbl 0171.11901
Beurling, A.; Malliavin, P.
65
1967
Ensembles exceptionnels. Zbl 0023.14204
Beurling, Arne
55
1940
On the spectral synthesis of bounded functions. Zbl 0034.21301
Beurling, Arne
47
1949
An automorphism of product measures. Zbl 0091.13001
Beurling, Arne
45
1960
Sur les intégrales de Fourier absolument convergentes et leur application à une transformation fonctionnelle. JFM 65.0483.02
Beurling, A.
40
1938
Études sur un problème de majoration. Zbl 0008.31802
Beurling, Arne
40
1933
Fourier-Stieltjes transforms with bounded powers. Zbl 0050.33004
Beurling, Arne; Helson, Henry
39
1953
A closure problem related to the Riemann zeta-function. Zbl 0065.30303
Beurling, Arne
38
1955
Un théorème sur les fonctions bornees et uniformement continues sur l’axe réel. Zbl 0061.13311
Beurling, Arne
35
1945
Analyse de la loi asymptotique de la distribution des nombres premiers généralises. Zbl 0017.29604
Beurling, Arne
34
1937
Analyse de la loi asymptotique de la distribution des nombres premiers généralisés. I. JFM 63.0138.01
Beurling, A.
32
1937
Analytic continuation across a linear boundary. Zbl 0235.30003
Beurling, Arne
29
1972
A theorem on duality mappings in Banach spaces. Zbl 0105.09301
Beurling, Arne; Livingston, A. E.
28
1962
Ensembles exceptionnels. JFM 66.0449.01
Beurling, A.
22
1940
A critical topology in harmonic analysis on semigroups. Zbl 0196.15701
Beurling, A.
14
1964
A minimum principle for positive harmonic functions. Zbl 0139.06402
Beurling, A.
13
1965
On analytic extension of semigroups of operators. Zbl 0203.13901
Beurling, A.
13
1970
Sur la composition d’une fonction sommable et d’une fonction bornee. Zbl 0029.04602
Beurling, A.
11
1947
An extension of the Riemann mapping theorem. Zbl 0051.06004
Beurling, Arne
11
1953
On a closure problem. Zbl 0042.35402
Beurling, Arne
10
1951
Sur les spectres des fonctions. Zbl 0040.21102
Beurling, Arne
9
1949
Sur les fonctions limites quasi analytiques des fractions rationnelles. Zbl 0012.02303
Beurling, Arne
7
1935
Sur les fonctions limites quasi analytiques des fractions rationnelles. JFM 61.1139.02
Beurling, A.
6
1934
Etudes sur un problème de majoration. JFM 59.1042.03
Beurling, A.
6
1933
Some theorems on boundedness of analytic functions. Zbl 0033.36503
Beurling, Arne
6
1949
Conformal invariants. Zbl 0049.17702
Ahlfors, Lars V.; Beurling, Arne
6
1952
On free-boundary problems for the Laplace equations. Zbl 0099.08302
Beurling, A.
6
1958
A theorem on functions defined on a semigroup. Zbl 0050.33701
Beurling, Arne
5
1953
Analyse spectrale de pseudomesures. Zbl 0127.07501
Beurling, A.
3
1964
Sur les intégrales de Fourier absolument convergentes et leur application à une transformation fonctionnelle. Zbl 0021.32201
Beurling, Arne
3
1939
Invariants conformes et problèmes extremaux. Zbl 0030.35601
Ahlfors, Lars V.; Beurling, Arne
3
1947
Notes on Dirichlet series. Zbl 0115.28802
Beurling, A.
2
1963
An extremal property of the Riemann zetafunction. Zbl 0042.31202
Beurling, Arne
2
1951
Analyse spectrale de pseudomesures. Sur les mesures prehausdorffiennes dans l’analyse harmonique. Zbl 0123.09801
Beurling, Arne
1
1964
Analyse harmonique des pseudomesures. Intégration par rapport aux pseudomesures. Zbl 0127.07502
Beurling, A.
1
1964
Analyse harmonique de pseudomesures. Intégration par rapport aux pseudomesures. Zbl 0127.07503
Beurling, A.
1
1964
Analyse harmonique de pseudomesures. Intégration. Zbl 0127.07601
Beurling, A.
1
1964
Sur quelques formes positives avec une application à la théorie ergodique. Zbl 0063.00360
Beurling, Arne
1
1946
The collected works of Arne Beurling. Volume 1: Complex analysis. Volume 2: Harmonic analysis. Ed. by Lennart Carleson, Paul Malliavin, John Neuberger, John Wermer. Zbl 0732.01042
Beurling, Arne
96
1989
Analytic continuation across a linear boundary. Zbl 0235.30003
Beurling, Arne
29
1972
On analytic extension of semigroups of operators. Zbl 0203.13901
Beurling, A.
13
1970
On the closure of characters and the zeros of entire functions. Zbl 0171.11901
Beurling, A.; Malliavin, P.
65
1967
A minimum principle for positive harmonic functions. Zbl 0139.06402
Beurling, A.
13
1965
Construction and analysis of some convolution algebras. Zbl 0133.07501
Beurling, Arne
71
1964
A critical topology in harmonic analysis on semigroups. Zbl 0196.15701
Beurling, A.
14
1964
Analyse spectrale de pseudomesures. Zbl 0127.07501
Beurling, A.
3
1964
Analyse spectrale de pseudomesures. Sur les mesures prehausdorffiennes dans l’analyse harmonique. Zbl 0123.09801
Beurling, Arne
1
1964
Analyse harmonique des pseudomesures. Intégration par rapport aux pseudomesures. Zbl 0127.07502
Beurling, A.
1
1964
Analyse harmonique de pseudomesures. Intégration par rapport aux pseudomesures. Zbl 0127.07503
Beurling, A.
1
1964
Analyse harmonique de pseudomesures. Intégration. Zbl 0127.07601
Beurling, A.
1
1964
Notes on Dirichlet series. Zbl 0115.28802
Beurling, A.
2
1963
On Fourier transforms of measures with compact support. Zbl 0127.32601
Beurling, A.; Malliavin, P.
67
1962
A theorem on duality mappings in Banach spaces. Zbl 0105.09301
Beurling, Arne; Livingston, A. E.
28
1962
An automorphism of product measures. Zbl 0091.13001
Beurling, Arne
45
1960
Dirichlet spaces. Zbl 0089.08201
Beurling, A.; Deny, Jacques
128
1959
Espaces de Dirichlet. I: Le cas élémentaire. Zbl 0089.08106
Beurling, A.; Deny, Jacques
72
1958
On free-boundary problems for the Laplace equations. Zbl 0099.08302
Beurling, A.
6
1958
The boundary correspondence under quasiconformal mappings. Zbl 0072.29602
Beurling, Arne; Ahlfors, Lars V.
242
1956
A closure problem related to the Riemann zeta-function. Zbl 0065.30303
Beurling, Arne
38
1955
Fourier-Stieltjes transforms with bounded powers. Zbl 0050.33004
Beurling, Arne; Helson, Henry
39
1953
An extension of the Riemann mapping theorem. Zbl 0051.06004
Beurling, Arne
11
1953
A theorem on functions defined on a semigroup. Zbl 0050.33701
Beurling, Arne
5
1953
Conformal invariants. Zbl 0049.17702
Ahlfors, Lars V.; Beurling, Arne
6
1952
On a closure problem. Zbl 0042.35402
Beurling, Arne
10
1951
An extremal property of the Riemann zetafunction. Zbl 0042.31202
Beurling, Arne
2
1951
Confromal invariants and function-theoretic null-sets. Zbl 0041.20301
Ahlfors, Lars; Beurling, Arne
191
1950
On two problems concerning linear transformations in Hilbert space. Zbl 0033.37701
Beurling, Arne
245
1949
On the spectral synthesis of bounded functions. Zbl 0034.21301
Beurling, Arne
47
1949
Sur les spectres des fonctions. Zbl 0040.21102
Beurling, Arne
9
1949
Some theorems on boundedness of analytic functions. Zbl 0033.36503
Beurling, Arne
6
1949
Sur la composition d’une fonction sommable et d’une fonction bornee. Zbl 0029.04602
Beurling, A.
11
1947
Invariants conformes et problèmes extremaux. Zbl 0030.35601
Ahlfors, Lars V.; Beurling, Arne
3
1947
Sur quelques formes positives avec une application à la théorie ergodique. Zbl 0063.00360
Beurling, Arne
1
1946
Un théorème sur les fonctions bornees et uniformement continues sur l’axe réel. Zbl 0061.13311
Beurling, Arne
35
1945
Ensembles exceptionnels. Zbl 0023.14204
Beurling, Arne
55
1940
Ensembles exceptionnels. JFM 66.0449.01
Beurling, A.
22
1940
Sur les intégrales de Fourier absolument convergentes et leur application à une transformation fonctionnelle. Zbl 0021.32201
Beurling, Arne
3
1939
Sur les intégrales de Fourier absolument convergentes et leur application à une transformation fonctionnelle. JFM 65.0483.02
Beurling, A.
40
1938
Analyse de la loi asymptotique de la distribution des nombres premiers généralises. Zbl 0017.29604
Beurling, Arne
34
1937
Analyse de la loi asymptotique de la distribution des nombres premiers généralisés. I. JFM 63.0138.01
Beurling, A.
32
1937
Sur les fonctions limites quasi analytiques des fractions rationnelles. Zbl 0012.02303
Beurling, Arne
7
1935
Sur les fonctions limites quasi analytiques des fractions rationnelles. JFM 61.1139.02
Beurling, A.
6
1934
Études sur un problème de majoration. Zbl 0008.31802
Beurling, Arne
40
1933
Etudes sur un problème de majoration. JFM 59.1042.03
Beurling, A.
6
1933
all top 5

Cited by 1,516 Authors

22 Ito, Masayuki
17 Olevskii, Alexander Moiseevich
15 Seip, Kristian
15 Shen, Yuliang
13 Briane, Marc
12 Hedenmalm, Håkan
12 Liflyand, Elijah
12 Ulanovskii, Alexander M.
11 Shlyk, Vladimir Alekseevich
11 Zhang, Wenbin
10 Fukushima, Masatoshi
10 Koskela, Pekka
9 Carleson, Lennart
9 Fuhrmann, Paul A.
9 Gutlyanskiĭ, Vladimir Ya.
9 Neuberger, John W.
9 Shanmugalingam, Nageswari
9 Vindas, Jasson
9 Vuorinen, Matti Keijo Kustaa
8 Agarwal, Ravi P.
8 Casado-Díaz, Juan
8 Cipriani, Fabio
8 Kellay, Karim
8 Martio, Olli
8 Nikol’skiĭ, Nikolaĭ Kapitonovich
8 Pavon, Michele
8 Ryazanov, Vladimir Il’ich
8 Tang, ShuAn
8 Zambrini, Jean-Claude
7 Aseev, Vladislav Vasil’evich
7 Benedetto, John J.
7 Beurling, Arne
7 Brennan, James E.
7 Debruyne, Gregory
7 El-Fallah, Omar
7 Hilberdink, Titus W.
7 Iwaniec, Tadeusz
7 Izuchi, Kou Hei
7 Kinukawa, Masakiti
7 Koosis, Paul
7 Martin, Gaven J.
7 Özbekler, Abdullah
7 Sarkar, Jaydeb
7 Suita, Nobuyuki
7 Wei, Huaying
7 Yang, Shanshuang
6 Albeverio, Sergio A.
6 Ball, Joseph Anthony
6 Baranov, Anton D.
6 Browder, Felix Earl
6 Douglas, Ronald George
6 Dubinin, Vladimir N.
6 Gehring, Frederick William
6 Gröchenig, Karlheinz
6 Izuchi, Keiji
6 Jones, Peter Wilcox
6 Kahane, Jean-Pierre
6 Mejjaoli, Hatem
6 Poltoratski, Alexei G.
6 Pommerenke, Christian
6 Richter, Stefan
6 Sauvageot, Jean-Luc
6 Trigub, Roal’d Mikhaĭlovich
6 Wu, Jang-Mei
5 Astala, Kari
5 Cheng, Tao
5 Diamond, Harold George
5 Domar, Yngve
5 Dymchenko, Yuriĭ Viktorovich
5 Essén, Matts Raguel
5 Esterle, Jean
5 Gallardo-Gutiérrez, Eva Antonia
5 Georgiou, Tryphon T.
5 Hedberg, Lars Inge
5 Helson, Henry
5 Kovalev, Leonid V.
5 Lu, Shanzhen
5 Lyubarskii, Yurii I.
5 Malliavin, Paul
5 Ortega-Cerdà, Joaquim
5 Ozawa, Mitsuru
5 Pesenson, Isaac Zalmanovich
5 Rodin, Burton
5 Roth, Oliver
5 Saias, Eric
5 Salimov, Ruslan Radikovich
5 Sario, Leo
5 Shields, Allen L.
5 Shin, Chang Eon
5 Sun, Qiyu
5 Vuillermot, Pierre-A.
5 Yu, Tao
4 Abuzyarova, Natal’ya Fairbakhovna
4 Agler, Jim
4 Aleman, Alexandru
4 Atzmon, Aharon
4 Báez-Duarte, Luis
4 Balazard, Michel
4 Borichev, Aleksandr Aleksandrovich
4 Chattopadhyay, Arup
...and 1,416 more Authors
all top 5

Cited in 284 Serials

84 Proceedings of the American Mathematical Society
81 Transactions of the American Mathematical Society
76 Journal of Functional Analysis
70 Journal of Mathematical Analysis and Applications
52 Acta Mathematica
50 Journal d’Analyse Mathématique
48 Arkiv för Matematik
39 Annales de l’Institut Fourier
36 Advances in Mathematics
29 Journal of Mathematical Sciences (New York)
28 Nagoya Mathematical Journal
28 Bulletin of the American Mathematical Society
25 Siberian Mathematical Journal
24 Integral Equations and Operator Theory
22 Mathematische Zeitschrift
22 Acta Mathematica Sinica. English Series
19 Mathematische Annalen
19 Tohoku Mathematical Journal. Second Series
18 Mathematical Notes
17 Journal of Number Theory
17 Comptes Rendus. Mathématique. Académie des Sciences, Paris
17 Kodai Mathematical Seminar Reports
17 Proceedings of the Japan Academy
17 Complex Variables and Elliptic Equations
16 Israel Journal of Mathematics
16 Computational Methods and Function Theory
15 Journal of Soviet Mathematics
15 The Journal of Fourier Analysis and Applications
14 Journal of Mathematical Physics
13 Journal of Approximation Theory
12 Inventiones Mathematicae
12 Complex Analysis and Operator Theory
11 Ukrainian Mathematical Journal
11 Archiv der Mathematik
10 Archive for Rational Mechanics and Analysis
10 Communications in Mathematical Physics
10 Rocky Mountain Journal of Mathematics
10 Functional Analysis and its Applications
10 Analysis and Mathematical Physics
9 Revista Matemática Iberoamericana
9 Potential Analysis
8 Duke Mathematical Journal
8 Journal de Mathématiques Pures et Appliquées. Neuvième Série
8 Linear Algebra and its Applications
8 St. Petersburg Mathematical Journal
7 Mathematische Nachrichten
7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
7 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
7 Annales Academiae Scientiarum Fennicae. Mathematica
7 Science China. Mathematics
7 Journal of Function Spaces
6 Annali di Matematica Pura ed Applicata. Serie Quarta
6 Monatshefte für Mathematik
6 Rendiconti del Circolo Matemàtico di Palermo. Serie II
6 Results in Mathematics
6 Science in China. Series A
6 Expositiones Mathematicae
6 Calculus of Variations and Partial Differential Equations
6 Applied and Computational Harmonic Analysis
6 Bulletin des Sciences Mathématiques
6 Conformal Geometry and Dynamics
6 International Journal of Number Theory
6 Annales Scientifiques de l’École Normale Supérieure. Troisième Série
5 Analysis Mathematica
5 Mathematical Proceedings of the Cambridge Philosophical Society
5 Journal of Computational and Applied Mathematics
5 Journal für die Reine und Angewandte Mathematik
5 Acta Mathematica Hungarica
5 Bulletin of the American Mathematical Society. New Series
5 Journal of Inequalities and Applications
5 Journal of the Australian Mathematical Society
4 Periodica Mathematica Hungarica
4 Journal of Geometry and Physics
4 Acta Arithmetica
4 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
4 Czechoslovak Mathematical Journal
4 Geometriae Dedicata
4 Journal of Optimization Theory and Applications
4 Proceedings of the Japan Academy. Series A
4 Journal of Theoretical Probability
4 The Journal of Geometric Analysis
4 Abstract and Applied Analysis
4 Banach Journal of Mathematical Analysis
4 Annales Fennici Mathematici
3 Applicable Analysis
3 Lithuanian Mathematical Journal
3 Reports on Mathematical Physics
3 The Mathematical Intelligencer
3 Bulletin de la Société Mathématique de France
3 Functiones et Approximatio. Commentarii Mathematici
3 Glasgow Mathematical Journal
3 Indiana University Mathematics Journal
3 Publications Mathématiques
3 Journal of Differential Equations
3 Journal of the Mathematical Society of Japan
3 Kodai Mathematical Journal
3 Memoirs of the American Mathematical Society
3 Numerical Functional Analysis and Optimization
3 Proceedings of the Edinburgh Mathematical Society. Series II
3 Publications of the Research Institute for Mathematical Sciences, Kyoto University
...and 184 more Serials
all top 5

Cited in 53 Fields

524 Functions of a complex variable (30-XX)
284 Functional analysis (46-XX)
268 Operator theory (47-XX)
217 Harmonic analysis on Euclidean spaces (42-XX)
183 Potential theory (31-XX)
117 Partial differential equations (35-XX)
108 Probability theory and stochastic processes (60-XX)
106 Number theory (11-XX)
93 Several complex variables and analytic spaces (32-XX)
76 Abstract harmonic analysis (43-XX)
50 Measure and integration (28-XX)
39 Information and communication theory, circuits (94-XX)
37 Approximations and expansions (41-XX)
35 Dynamical systems and ergodic theory (37-XX)
34 Real functions (26-XX)
34 Quantum theory (81-XX)
32 Calculus of variations and optimal control; optimization (49-XX)
30 Differential geometry (53-XX)
30 Global analysis, analysis on manifolds (58-XX)
22 Systems theory; control (93-XX)
21 Numerical analysis (65-XX)
18 Ordinary differential equations (34-XX)
18 Integral transforms, operational calculus (44-XX)
14 Combinatorics (05-XX)
14 Mechanics of deformable solids (74-XX)
14 Fluid mechanics (76-XX)
13 Manifolds and cell complexes (57-XX)
11 History and biography (01-XX)
11 Linear and multilinear algebra; matrix theory (15-XX)
11 Sequences, series, summability (40-XX)
11 General topology (54-XX)
11 Statistical mechanics, structure of matter (82-XX)
10 Geometry (51-XX)
10 Convex and discrete geometry (52-XX)
9 Integral equations (45-XX)
8 Topological groups, Lie groups (22-XX)
8 Statistics (62-XX)
8 Operations research, mathematical programming (90-XX)
7 Algebraic geometry (14-XX)
7 Computer science (68-XX)
4 General and overarching topics; collections (00-XX)
4 Mathematical logic and foundations (03-XX)
3 Nonassociative rings and algebras (17-XX)
3 Group theory and generalizations (20-XX)
3 Special functions (33-XX)
3 Difference and functional equations (39-XX)
3 Optics, electromagnetic theory (78-XX)
2 Mechanics of particles and systems (70-XX)
2 Relativity and gravitational theory (83-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Associative rings and algebras (16-XX)
1 \(K\)-theory (19-XX)
1 Algebraic topology (55-XX)

Citations by Year

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