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Beurling, Arne

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

Publications by Year

Citations contained in zbMATH

46 Publications have been cited 1,769 times in 1,583 Documents Cited by Year
On two problems concerning linear transformations in Hilbert space. Zbl 0033.37701
Beurling, Arne
240
1949
The boundary correspondence under quasiconformal mappings. Zbl 0072.29602
Beurling, Arne; Ahlfors, Lars V.
223
1956
Confromal invariants and function-theoretic null-sets. Zbl 0041.20301
Ahlfors, Lars; Beurling, Arne
184
1950
Dirichlet spaces. Zbl 0089.08201
Beurling, A.; Deny, Jacques
124
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
108
1989
Construction and analysis of some convolution algebras. Zbl 0133.07501
Beurling, Arne
70
1964
Espaces de Dirichlet. I: Le cas élémentaire. Zbl 0089.08106
Beurling, A.; Deny, Jacques
66
1958
On Fourier transforms of measures with compact support. Zbl 0127.32601
Beurling, A.; Malliavin, P.
65
1962
On the closure of characters and the zeros of entire functions. Zbl 0171.11901
Beurling, A.; Malliavin, P.
63
1967
Ensembles exceptionnels. Zbl 0023.14204
Beurling, Arne
56
1940
Études sur un problème de majoration. Zbl 0008.31802
Beurling, Arne
44
1933
An automorphism of product measures. Zbl 0091.13001
Beurling, Arne
42
1960
On the spectral synthesis of bounded functions. Zbl 0034.21301
Beurling, Arne
42
1949
Sur les intégrales de Fourier absolument convergentes et leur application à une transformation fonctionnelle. JFM 65.0483.02
Beurling, A.
42
1938
Fourier-Stieltjes transforms with bounded powers. Zbl 0050.33004
Beurling, Arne; Helson, Henry
40
1953
Analyse de la loi asymptotique de la distribution des nombres premiers généralises. Zbl 0017.29604
Beurling, Arne
38
1937
Un théorème sur les fonctions bornees et uniformement continues sur l’axe réel. Zbl 0061.13311
Beurling, Arne
35
1945
A closure problem related to the Riemann zeta-function. Zbl 0065.30303
Beurling, Arne
34
1955
Analyse de la loi asymptotique de la distribution des nombres premiers généralisés. I. JFM 63.0138.01
Beurling, A.
31
1937
Analytic continuation across a linear boundary. Zbl 0235.30003
Beurling, Arne
26
1972
A theorem on duality mappings in Banach spaces. Zbl 0105.09301
Beurling, Arne; Livingston, A. E.
25
1962
Ensembles exceptionnels. JFM 66.0449.01
Beurling, A.
23
1940
A critical topology in harmonic analysis on semigroups. Zbl 0196.15701
Beurling, A.
14
1964
Sur les spectres des fonctions. Zbl 0040.21102
Beurling, Arne
14
1949
On analytic extension of semigroups of operators. Zbl 0203.13901
Beurling, A.
13
1970
A minimum principle for positive harmonic functions. Zbl 0139.06402
Beurling, A.
13
1965
An extension of the Riemann mapping theorem. Zbl 0051.06004
Beurling, Arne
11
1953
Sur la composition d’une fonction sommable et d’une fonction bornee. Zbl 0029.04602
Beurling, A.
11
1947
On free-boundary problems for the Laplace equations. Zbl 0099.08302
Beurling, A.
10
1958
On a closure problem. Zbl 0042.35402
Beurling, Arne
10
1951
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.
7
1934
Conformal invariants. Zbl 0049.17702
Ahlfors, Lars V.; Beurling, Arne
6
1952
A theorem on functions defined on a semigroup. Zbl 0050.33701
Beurling, Arne
5
1953
Etudes sur un problème de majoration. JFM 59.1042.03
Beurling, A.
5
1933
Some theorems on boundedness of analytic functions. Zbl 0033.36503
Beurling, Arne
4
1949
Analyse spectrale de pseudomesures. Zbl 0127.07501
Beurling, A.
3
1964
Invariants conformes et problèmes extremaux. Zbl 0030.35601
Ahlfors, Lars V.; Beurling, Arne
3
1947
Sur les intégrales de Fourier absolument convergentes et leur application à une transformation fonctionnelle. Zbl 0021.32201
Beurling, Arne
3
1939
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 harmonique de pseudomesures. Intégration. Zbl 0127.07601
Beurling, A.
1
1964
Analyse harmonique de pseudomesures. Intégration par rapport aux pseudomesures. Zbl 0127.07503
Beurling, A.
1
1964
Analyse harmonique des pseudomesures. Intégration par rapport aux pseudomesures. Zbl 0127.07502
Beurling, A.
1
1964
Analyse spectrale de pseudomesures. Sur les mesures prehausdorffiennes dans l’analyse harmonique. Zbl 0123.09801
Beurling, Arne
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
108
1989
Analytic continuation across a linear boundary. Zbl 0235.30003
Beurling, Arne
26
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.
63
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
70
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 harmonique de pseudomesures. Intégration. Zbl 0127.07601
Beurling, A.
1
1964
Analyse harmonique de pseudomesures. Intégration par rapport aux pseudomesures. Zbl 0127.07503
Beurling, A.
1
1964
Analyse harmonique des pseudomesures. Intégration par rapport aux pseudomesures. Zbl 0127.07502
Beurling, A.
1
1964
Analyse spectrale de pseudomesures. Sur les mesures prehausdorffiennes dans l’analyse harmonique. Zbl 0123.09801
Beurling, Arne
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.
65
1962
A theorem on duality mappings in Banach spaces. Zbl 0105.09301
Beurling, Arne; Livingston, A. E.
25
1962
An automorphism of product measures. Zbl 0091.13001
Beurling, Arne
42
1960
Dirichlet spaces. Zbl 0089.08201
Beurling, A.; Deny, Jacques
124
1959
Espaces de Dirichlet. I: Le cas élémentaire. Zbl 0089.08106
Beurling, A.; Deny, Jacques
66
1958
On free-boundary problems for the Laplace equations. Zbl 0099.08302
Beurling, A.
10
1958
The boundary correspondence under quasiconformal mappings. Zbl 0072.29602
Beurling, Arne; Ahlfors, Lars V.
223
1956
A closure problem related to the Riemann zeta-function. Zbl 0065.30303
Beurling, Arne
34
1955
Fourier-Stieltjes transforms with bounded powers. Zbl 0050.33004
Beurling, Arne; Helson, Henry
40
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
184
1950
On two problems concerning linear transformations in Hilbert space. Zbl 0033.37701
Beurling, Arne
240
1949
On the spectral synthesis of bounded functions. Zbl 0034.21301
Beurling, Arne
42
1949
Sur les spectres des fonctions. Zbl 0040.21102
Beurling, Arne
14
1949
Some theorems on boundedness of analytic functions. Zbl 0033.36503
Beurling, Arne
4
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
56
1940
Ensembles exceptionnels. JFM 66.0449.01
Beurling, A.
23
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.
42
1938
Analyse de la loi asymptotique de la distribution des nombres premiers généralises. Zbl 0017.29604
Beurling, Arne
38
1937
Analyse de la loi asymptotique de la distribution des nombres premiers généralisés. I. JFM 63.0138.01
Beurling, A.
31
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.
7
1934
Études sur un problème de majoration. Zbl 0008.31802
Beurling, Arne
44
1933
Etudes sur un problème de majoration. JFM 59.1042.03
Beurling, A.
5
1933
all top 5

Cited by 1,519 Authors

22 Ito, Masayuki
17 Olevskii, Alexander Moiseevich
15 Seip, Kristian
13 Briane, Marc
13 Shen, Yuliang
12 Hedenmalm, Håkan
11 Liflyand, Elijah
11 Ulanovskii, Alexander M.
11 Zhang, Wenbin
10 Koskela, Pekka
10 Popescu, Gelu
10 Shlyk, Vladimir Alekseevich
9 Carleson, Lennart
9 Fuhrmann, Paul A.
9 Fukushima, Masatoshi
9 Kellay, Karim
9 Neuberger, John W.
9 Vindas, Jasson
9 Zambrini, Jean-Claude
8 Agarwal, Ravi P.
8 Casado-Díaz, Juan
8 Cipriani, Fabio
8 Nikol’skiĭ, Nikolaĭ Kapitonovich
8 Vuorinen, Matti Keijo Kustaa
7 Aseev, Vladislav Vasil’evich
7 Benedetto, John J.
7 Beurling, Arne
7 Debruyne, Gregory
7 El-Fallah, Omar
7 Gutlyanskiĭ, Vladimir Ya.
7 Iwaniec, Tadeusz
7 Izuchi, Kou Hei
7 Jones, Peter Wilcox
7 Koosis, Paul
7 Martin, Gaven J.
7 Martio, Olli
7 Özbekler, Abdullah
7 Pavon, Michele
7 Shanmugalingam, Nageswari
7 Suita, Nobuyuki
7 Yang, Shanshuang
6 Albeverio, Sergio A.
6 Ball, Joseph Anthony
6 Baranov, Anton D.
6 Brennan, James E.
6 Browder, Felix Earl
6 Douglas, Ronald George
6 Dubinin, Vladimir N.
6 Gehring, Frederick William
6 Gröchenig, Karlheinz
6 Hilberdink, Titus W.
6 Izuchi, Keiji
6 Kahane, Jean-Pierre
6 Lyubarskii, Yurii I.
6 Mejjaoli, Hatem
6 Ortega-Cerdà, Joaquim
6 Poltoratski, Alexei G.
6 Pommerenke, Christian
6 Richter, Stefan
6 Ryazanov, Vladimir Il’ich
6 Sauvageot, Jean-Luc
6 Tang, ShuAn
6 Wei, Huaying
6 Wu, Jang-Mei
5 Astala, Kari
5 Borichev, Aleksandr Aleksandrovich
5 Cheng, Tao
5 Diamond, Harold George
5 Domar, Yngve
5 Dymchenko, Yuriĭ Viktorovich
5 Essén, Matts Raguel
5 Esterle, Jean
5 Hedberg, Lars Inge
5 Helson, Henry
5 Kinukawa, Masakiti
5 Lu, Shanzhen
5 Malliavin, Paul
5 Ozawa, Mitsuru
5 Pesenson, Isaac Zalmanovich
5 Rodin, Burton
5 Roth, Oliver
5 Saias, Eric
5 Sario, Leo
5 Sarkar, Jaydeb
5 Seco, Daniel
5 Shields, Allen L.
5 Trigub, Roal’d Mikhaĭlovich
4 Abuzyarova, Natal’ya Fairbakhovna
4 Agler, Jim
4 Aleman, Alexandru
4 Atzmon, Aharon
4 Báez-Duarte, Luis
4 Balazard, Michel
4 Earle, Clifford J.
4 Eremenko, Alexandre Émmanuilovich
4 Fricain, Emmanuel
4 Gallardo-Gutiérrez, Eva Antonia
4 Georgiou, Tryphon T.
4 Guliyev, Vagif Sabir
4 Hartmann, Andreas
...and 1,419 more Authors
all top 5

Cited in 267 Serials

83 Transactions of the American Mathematical Society
81 Journal of Functional Analysis
81 Proceedings of the American Mathematical Society
72 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
28 Nagoya Mathematical Journal
28 Bulletin of the American Mathematical Society
25 Siberian Mathematical Journal
25 Journal of Mathematical Sciences (New York)
23 Integral Equations and Operator Theory
22 Mathematische Zeitschrift
21 Acta Mathematica Sinica. English Series
19 Tohoku Mathematical Journal. Second Series
19 Comptes Rendus. Mathématique. Académie des Sciences, Paris
18 Journal of Number Theory
17 Mathematical Notes
17 Mathematische Annalen
17 Kodai Mathematical Seminar Reports
17 Proceedings of the Japan Academy
16 Israel Journal of Mathematics
15 Journal of Soviet Mathematics
15 Computational Methods and Function Theory
13 Journal of Mathematical Physics
13 The Journal of Fourier Analysis and Applications
13 Complex Variables and Elliptic Equations
12 Inventiones Mathematicae
12 Journal of Approximation 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 Linear Algebra and its Applications
10 Complex Analysis and Operator Theory
9 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
8 Duke Mathematical Journal
8 Journal de Mathématiques Pures et Appliquées. Neuvième Série
8 Applied and Computational Harmonic Analysis
7 Mathematische Nachrichten
7 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
7 Revista Matemática Iberoamericana
7 Expositiones Mathematicae
7 Potential Analysis
7 St. Petersburg Mathematical Journal
7 Annales Academiae Scientiarum Fennicae. Mathematica
7 Science China. Mathematics
7 Analysis and Mathematical Physics
6 Annali di Matematica Pura ed Applicata. Serie Quarta
6 Journal of Computational and Applied Mathematics
6 Journal für die Reine und Angewandte Mathematik
6 Rendiconti del Circolo Matemàtico di Palermo. Serie II
6 Results in Mathematics
6 Science in China. Series A
6 Conformal Geometry and Dynamics
6 International Journal of Number Theory
6 Annales Scientifiques de l’École Normale Supérieure. Troisième Série
6 Journal of Function Spaces
5 Analysis Mathematica
5 Mathematical Proceedings of the Cambridge Philosophical Society
5 Journal of Geometry and Physics
5 Monatshefte für Mathematik
5 Acta Mathematica Hungarica
5 Bulletin of the American Mathematical Society. New Series
5 Calculus of Variations and Partial Differential Equations
5 Bulletin des Sciences Mathématiques
5 Abstract and Applied Analysis
5 Journal of Inequalities and Applications
5 Journal of the Australian Mathematical Society
4 Periodica Mathematica Hungarica
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
3 Lithuanian Mathematical Journal
3 Reports on Mathematical Physics
3 The Mathematical Intelligencer
3 Acta Arithmetica
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 Kodai Mathematical Journal
3 Memoirs of the American Mathematical Society
3 Publications of the Research Institute for Mathematical Sciences, Kyoto University
3 Semigroup Forum
3 Studies in Applied Mathematics
3 Zeitschrift für Analysis und ihre Anwendungen
3 Constructive Approximation
3 The Journal of Geometric Analysis
3 Geometric and Functional Analysis. GAFA
3 SIAM Journal on Mathematical Analysis
...and 167 more Serials
all top 5

Cited in 55 Fields

494 Functions of a complex variable (30-XX)
272 Functional analysis (46-XX)
264 Operator theory (47-XX)
209 Harmonic analysis on Euclidean spaces (42-XX)
173 Potential theory (31-XX)
118 Partial differential equations (35-XX)
103 Probability theory and stochastic processes (60-XX)
100 Number theory (11-XX)
86 Several complex variables and analytic spaces (32-XX)
75 Abstract harmonic analysis (43-XX)
47 Measure and integration (28-XX)
43 Information and communication theory, circuits (94-XX)
38 Approximations and expansions (41-XX)
35 Quantum theory (81-XX)
33 Real functions (26-XX)
32 Dynamical systems and ergodic theory (37-XX)
32 Calculus of variations and optimal control; optimization (49-XX)
29 Global analysis, analysis on manifolds (58-XX)
26 Differential geometry (53-XX)
23 Systems theory; control (93-XX)
20 Numerical analysis (65-XX)
16 Ordinary differential equations (34-XX)
16 Integral transforms, operational calculus (44-XX)
15 Fluid mechanics (76-XX)
13 Mechanics of deformable solids (74-XX)
12 Combinatorics (05-XX)
11 Sequences, series, summability (40-XX)
11 Statistical mechanics, structure of matter (82-XX)
10 History and biography (01-XX)
10 Linear and multilinear algebra; matrix theory (15-XX)
10 Topological groups, Lie groups (22-XX)
10 Convex and discrete geometry (52-XX)
10 Manifolds and cell complexes (57-XX)
9 Geometry (51-XX)
8 Integral equations (45-XX)
8 Statistics (62-XX)
8 Operations research, mathematical programming (90-XX)
7 Algebraic geometry (14-XX)
7 General topology (54-XX)
4 Mathematical logic and foundations (03-XX)
4 Group theory and generalizations (20-XX)
4 Computer science (68-XX)
3 General and overarching topics; collections (00-XX)
3 Special functions (33-XX)
3 Difference and functional equations (39-XX)
3 Optics, electromagnetic theory (78-XX)
2 Nonassociative rings and algebras (17-XX)
2 Relativity and gravitational theory (83-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Associative rings and algebras (16-XX)
1 \(K\)-theory (19-XX)
1 Algebraic topology (55-XX)
1 Mechanics of particles and systems (70-XX)
1 Geophysics (86-XX)

Citations by Year

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