Edit Profile (opens in new tab) Beurling, Arne (b. 1905 d. 1986) Co-Author Distance Author ID: beurling.arne Published as: Beurling, Arne; Beurling, A. External Links: MacTutor · MGP · Wikidata · GND · IdRef Documents Indexed: 49 Publications since 1932, including 2 Books Biographic References: 8 Publications Co-Authors: 5 Co-Authors with 11 Joint Publications 88 Co-Co-Authors all top 5 Co-Authors 38 single-authored 4 Ahlfors, Lars Valerian 3 Malliavin, Paul 2 Deny, Jacques 1 Carleson, Lennart 1 Helson, Henry 1 Livingston, Arthur Eugene 1 Neuberger, John W. 1 Wermer, John all top 5 Serials 16 Acta Mathematica 6 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Paris 3 Arkiv för Matematik 2 Mathematica Scandinavica 2 Proceedings of the National Academy of Sciences of the United States of America 2 Norsk Matematisk Tidsskrift 1 Annales de l’Institut Fourier 1 Duke Mathematical Journal 1 Journal of Functional Analysis 1 The Journal of the Indian Mathematical Society. New Series 1 Annals of Mathematics. Second Series 1 Annales Academiae Scientiarum Fennicae. Series A I 1 Contemporary Mathematicians Fields 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Functions of a complex variable (30-XX) 1 Abstract harmonic analysis (43-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 47 Publications have been cited 2,302 times in 2,072 Documents Cited by ▼ Year ▼ On two problems concerning linear transformations in Hilbert space. Zbl 0033.37701 Beurling, Arne 331 1949 The boundary correspondence under quasiconformal mappings. Zbl 0072.29602 Beurling, Arne; Ahlfors, Lars V. 296 1956 Confromal invariants and function-theoretic null-sets. Zbl 0041.20301 Ahlfors, Lars; Beurling, Arne 217 1950 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 195 1989 Dirichlet spaces. Zbl 0089.08201 Beurling, A.; Deny, Jacques 147 1959 Construction and analysis of some convolution algebras. Zbl 0133.07501 Beurling, Arne 93 1964 Espaces de Dirichlet. I: Le cas élémentaire. Zbl 0089.08106 Beurling, A.; Deny, Jacques 87 1958 On the closure of characters and the zeros of entire functions. Zbl 0171.11901 Beurling, A.; Malliavin, P. 82 1967 On Fourier transforms of measures with compact support. Zbl 0127.32601 Beurling, A.; Malliavin, P. 78 1962 Sur les intégrales de Fourier absolument convergentes et leur application à une transformation fonctionnelle. JFM 65.0483.02 Beurling, A. 62 1938 An automorphism of product measures. Zbl 0091.13001 Beurling, Arne 62 1960 Ensembles exceptionnels. Zbl 0023.14204 Beurling, Arne 59 1940 On the spectral synthesis of bounded functions. Zbl 0034.21301 Beurling, Arne 54 1949 A closure problem related to the Riemann zeta-function. Zbl 0065.30303 Beurling, Arne 46 1955 Fourier-Stieltjes transforms with bounded powers. Zbl 0050.33004 Beurling, Arne; Helson, Henry 42 1953 Analyse de la loi asymptotique de la distribution des nombres premiers généralisés. I. JFM 63.0138.01 Beurling, A. 40 1937 Études sur un problème de majoration. Zbl 0008.31802 Beurling, Arne 40 1933 Analyse de la loi asymptotique de la distribution des nombres premiers généralisés. I. Zbl 0017.29604 Beurling, Arne 40 1937 Un théorème sur les fonctions bornees et uniformement continues sur l’axe réel. Zbl 0061.13311 Beurling, Arne 36 1945 A theorem on duality mappings in Banach spaces. Zbl 0105.09301 Beurling, Arne; Livingston, A. E. 34 1962 Analytic continuation across a linear boundary. Zbl 0235.30003 Beurling, Arne 32 1972 On free-boundary problems for the Laplace equations. Zbl 0099.08302 Beurling, A. 29 1958 Ensembles exceptionnels. JFM 66.0449.01 Beurling, A. 27 1940 Sur les spectres des fonctions. Zbl 0040.21102 Beurling, Arne 19 1949 Etudes sur un problème de majoration. JFM 59.1042.03 Beurling, A. 17 1933 A critical topology in harmonic analysis on semigroups. Zbl 0196.15701 Beurling, A. 17 1964 A minimum principle for positive harmonic functions. Zbl 0139.06402 Beurling, A. 15 1965 On a closure problem. Zbl 0042.35402 Beurling, Arne 14 1951 On analytic extension of semigroups of operators. Zbl 0203.13901 Beurling, A. 14 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 Some theorems on boundedness of analytic functions. Zbl 0033.36503 Beurling, Arne 8 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 Sur les intégrales de Fourier absolument convergentes et leur application à une transformation fonctionnelle. Zbl 0021.32201 Beurling, Arne 6 1939 Conformal invariants. Zbl 0049.17702 Ahlfors, Lars V.; Beurling, Arne 5 1952 Invariants conformes et problèmes extremaux. Zbl 0030.35601 Ahlfors, Lars V.; Beurling, Arne 5 1947 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 An extremal property of the Riemann zetafunction. Zbl 0042.31202 Beurling, Arne 2 1951 Notes on Dirichlet series. Zbl 0115.28802 Beurling, A. 2 1963 Sur quelques formes positives avec une application à la théorie ergodique. Zbl 0063.00360 Beurling, Arne 1 1946 Sur la géométrie métrique des surfaces à courbure totale \(\leq 0\). Zbl 0048.38803 Beurling, Arne 1 1952 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 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 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 195 1989 Analytic continuation across a linear boundary. Zbl 0235.30003 Beurling, Arne 32 1972 On analytic extension of semigroups of operators. Zbl 0203.13901 Beurling, A. 14 1970 On the closure of characters and the zeros of entire functions. Zbl 0171.11901 Beurling, A.; Malliavin, P. 82 1967 A minimum principle for positive harmonic functions. Zbl 0139.06402 Beurling, A. 15 1965 Construction and analysis of some convolution algebras. Zbl 0133.07501 Beurling, Arne 93 1964 A critical topology in harmonic analysis on semigroups. Zbl 0196.15701 Beurling, A. 17 1964 Analyse spectrale de pseudomesures. Zbl 0127.07501 Beurling, A. 3 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 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 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. 78 1962 A theorem on duality mappings in Banach spaces. Zbl 0105.09301 Beurling, Arne; Livingston, A. E. 34 1962 An automorphism of product measures. Zbl 0091.13001 Beurling, Arne 62 1960 Dirichlet spaces. Zbl 0089.08201 Beurling, A.; Deny, Jacques 147 1959 Espaces de Dirichlet. I: Le cas élémentaire. Zbl 0089.08106 Beurling, A.; Deny, Jacques 87 1958 On free-boundary problems for the Laplace equations. Zbl 0099.08302 Beurling, A. 29 1958 The boundary correspondence under quasiconformal mappings. Zbl 0072.29602 Beurling, Arne; Ahlfors, Lars V. 296 1956 A closure problem related to the Riemann zeta-function. Zbl 0065.30303 Beurling, Arne 46 1955 Fourier-Stieltjes transforms with bounded powers. Zbl 0050.33004 Beurling, Arne; Helson, Henry 42 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 5 1952 Sur la géométrie métrique des surfaces à courbure totale \(\leq 0\). Zbl 0048.38803 Beurling, Arne 1 1952 On a closure problem. Zbl 0042.35402 Beurling, Arne 14 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 217 1950 On two problems concerning linear transformations in Hilbert space. Zbl 0033.37701 Beurling, Arne 331 1949 On the spectral synthesis of bounded functions. Zbl 0034.21301 Beurling, Arne 54 1949 Sur les spectres des fonctions. Zbl 0040.21102 Beurling, Arne 19 1949 Some theorems on boundedness of analytic functions. Zbl 0033.36503 Beurling, Arne 8 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 5 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 36 1945 Ensembles exceptionnels. Zbl 0023.14204 Beurling, Arne 59 1940 Ensembles exceptionnels. JFM 66.0449.01 Beurling, A. 27 1940 Sur les intégrales de Fourier absolument convergentes et leur application à une transformation fonctionnelle. Zbl 0021.32201 Beurling, Arne 6 1939 Sur les intégrales de Fourier absolument convergentes et leur application à une transformation fonctionnelle. JFM 65.0483.02 Beurling, A. 62 1938 Analyse de la loi asymptotique de la distribution des nombres premiers généralisés. I. JFM 63.0138.01 Beurling, A. 40 1937 Analyse de la loi asymptotique de la distribution des nombres premiers généralisés. I. Zbl 0017.29604 Beurling, Arne 40 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. 17 1933 all cited Publications top 5 cited Publications all top 5 Cited by 1,912 Authors 22 Ito, Masayuki 21 Olevskii, Alexander Moiseevich 20 Shen, Yuliang 18 Ulanovskii, Alexander M. 17 Popescu, Gelu 16 Seip, Kristian 15 Liflyand, Elijah 15 Wei, Huaying 14 Briane, Marc 14 Gröchenig, Karlheinz 13 Vindas, Jasson 12 Hedenmalm, Håkan 11 Gutlyanskiĭ, Vladimir Ya. 11 Pavon, Michele 11 Sarkar, Jaydeb 11 Shlyk, Vladimir Alekseevich 11 Zambrini, Jean-Claude 11 Zhang, Wenbin 10 Fukushima, Masatoshi 10 Kellay, Karim 10 Koskela, Pekka 10 Nikol’skiĭ, Nikolaĭ Kapitonovich 10 Shanmugalingam, Nageswari 10 Yang, Shanshuang 9 Carleson, Lennart 9 Casado-Díaz, Juan 9 Fuhrmann, Paul A. 9 Martio, Olli 9 Matsuzaki, Katsuhiko 9 Neuberger, John W. 9 Ryazanov, Vladimir Il’ich 9 Vuorinen, Matti Keijo Kustaa 8 Agarwal, Ravi P. 8 Ball, Joseph Anthony 8 Baranov, Anton D. 8 Benedetto, John Joseph 8 Brennan, James E. 8 Cheng, Tao 8 Debruyne, Gregory 8 El-Fallah, Omar 8 Hilberdink, Titus W. 8 Izuchi, Kou Hei 8 Matsuoka, Katsuo 8 Poltoratski, Alexei G. 8 Salimov, Ruslan Radikovich 8 Tang, ShuAn 7 Aseev, Vladislav Vasil’evich 7 Beurling, Arne 7 Borichev, Aleksandr Aleksandrovich 7 Broucke, Frederik 7 Daher, Radouan 7 Douglas, Ronald George 7 Dubinin, Vladimir N. 7 Georgiou, Tryphon T. 7 Iwaniec, Tadeusz 7 Jones, Peter Wilcox 7 Kinukawa, Masakiti 7 Koosis, Paul 7 Kovalev, Leonid V. 7 Martin, Gaven J. 7 Mejjaoli, Hatem 7 Ntalampekos, Dimitrios 7 Ortega-Cerdà, Joaquim 7 Özbekler, Abdullah 7 Richter, Stefan 7 Shin, Chang Eon 7 Suita, Nobuyuki 7 Yu, Tao 6 Achak, Azzedine 6 Agler, Jim 6 Albeverio, Sergio A. 6 Belov, Yurii S. 6 Browder, Felix Earl 6 Chen, Yongxin 6 Cipriani, Fabio 6 Domar, Yngve 6 Gallardo-Gutiérrez, Eva Antonia 6 Gehring, Frederick William 6 Gu, Caixing 6 Guo, Kunyu 6 Izuchi, Keiji 6 Kahane, Jean-Pierre 6 Lu, Yufeng 6 Lyubarskii, Yurii I. 6 Mitkovski, Mishko 6 Mizuta, Yoshihiro 6 Pommerenke, Christian 6 Romero, José Luis 6 Sauvageot, Jean-Luc 6 Shimomura, Tetsu 6 Trigub, Roal’d Mikhaĭlovich 6 Wu, Jang-Mei 5 Abuzyarova, Natal’ya Fairbakhovna 5 Aleman, Alexandru 5 Astala, Kari 5 Bishop, Christopher James 5 Bolotnikov, Vladimir 5 Diamond, Harold George 5 Dymchenko, Yuriĭ Viktorovich 5 Eremenko, Alexandre ...and 1,812 more Authors all top 5 Cited in 352 Serials 96 Journal of Mathematical Analysis and Applications 96 Journal of Functional Analysis 93 Proceedings of the American Mathematical Society 84 Transactions of the American Mathematical Society 53 Journal d’Analyse Mathématique 52 Acta Mathematica 50 Arkiv för Matematik 44 Advances in Mathematics 40 Annales de l’Institut Fourier 32 Journal of Mathematical Sciences (New York) 28 Nagoya Mathematical Journal 28 Bulletin of the American Mathematical Society 27 Mathematische Zeitschrift 26 Integral Equations and Operator Theory 25 Siberian Mathematical Journal 24 Acta Mathematica Sinica. English Series 23 Mathematische Annalen 22 Computational Methods and Function Theory 21 The Journal of Fourier Analysis and Applications 21 Comptes Rendus. Mathématique. Académie des Sciences, Paris 21 Complex Variables and Elliptic Equations 19 Tôhoku Mathematical Journal. Second Series 19 Applied and Computational Harmonic Analysis 18 Israel Journal of Mathematics 18 Mathematical Notes 18 Journal of Number Theory 17 Kodai Mathematical Seminar Reports 17 Proceedings of the Japan Academy 17 Complex Analysis and Operator Theory 16 Journal of Mathematical Physics 15 Journal of Approximation Theory 15 Journal of Soviet Mathematics 14 Inventiones Mathematicae 13 Linear Algebra and its Applications 13 St. Petersburg Mathematical Journal 12 Archive for Rational Mechanics and Analysis 12 Mathematische Nachrichten 12 Revista Matemática Iberoamericana 12 Analysis and Mathematical Physics 11 Ukrainian Mathematical Journal 11 Archiv der Mathematik 11 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 11 The Journal of Geometric Analysis 11 Potential Analysis 10 Communications in Mathematical Physics 10 Rocky Mountain Journal of Mathematics 10 Functional Analysis and its Applications 10 Annales Fennici Mathematici 9 Bulletin of the London Mathematical Society 9 Duke Mathematical Journal 9 Results in Mathematics 9 Journal de Mathématiques Pures et Appliquées. Neuvième Série 9 Expositiones Mathematicae 9 Science China. Mathematics 8 Mathematical Methods in the Applied Sciences 8 Annali di Matematica Pura ed Applicata. Serie Quarta 8 Banach Journal of Mathematical Analysis 7 Analysis Mathematica 7 Monatshefte für Mathematik 7 Rendiconti del Circolo Matemàtico di Palermo. Serie II 7 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 7 Bulletin des Sciences Mathématiques 7 Annales Academiae Scientiarum Fennicae. Mathematica 7 Journal of Inequalities and Applications 7 Geometry & Topology 7 Journal of Function Spaces 6 Acta Arithmetica 6 Journal für die Reine und Angewandte Mathematik 6 Science in China. Series A 6 Calculus of Variations and Partial Differential Equations 6 Conformal Geometry and Dynamics 6 International Journal of Number Theory 6 Annales Scientifiques de l’École Normale Supérieure. Troisième Série 6 Annals of Functional Analysis 5 Mathematical Proceedings of the Cambridge Philosophical Society 5 Studia Mathematica 5 Acta Scientiarum Mathematicarum 5 Canadian Mathematical Bulletin 5 Czechoslovak Mathematical Journal 5 Indiana University Mathematics Journal 5 Journal of Computational and Applied Mathematics 5 Journal of Differential Equations 5 Acta Mathematica Hungarica 5 Constructive Approximation 5 Bulletin of the American Mathematical Society. New Series 5 Sbornik: Mathematics 5 Journal of the Australian Mathematical Society 5 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 5 Operators and Matrices 5 Analysis & PDE 4 Applicable Analysis 4 Periodica Mathematica Hungarica 4 Reports on Mathematical Physics 4 Journal of Geometry and Physics 4 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 4 Bulletin de la Société Mathématique de France 4 Geometriae Dedicata 4 Journal of the Mathematical Society of Japan 4 Journal of Optimization Theory and Applications 4 Mathematika ...and 252 more Serials all top 5 Cited in 55 Fields 669 Functions of a complex variable (30-XX) 383 Functional analysis (46-XX) 373 Operator theory (47-XX) 312 Harmonic analysis on Euclidean spaces (42-XX) 221 Potential theory (31-XX) 181 Partial differential equations (35-XX) 135 Number theory (11-XX) 130 Probability theory and stochastic processes (60-XX) 116 Several complex variables and analytic spaces (32-XX) 91 Abstract harmonic analysis (43-XX) 71 Information and communication theory, circuits (94-XX) 67 Measure and integration (28-XX) 56 Real functions (26-XX) 49 Dynamical systems and ergodic theory (37-XX) 49 Calculus of variations and optimal control; optimization (49-XX) 48 Approximations and expansions (41-XX) 43 Quantum theory (81-XX) 41 Numerical analysis (65-XX) 39 Differential geometry (53-XX) 39 Global analysis, analysis on manifolds (58-XX) 37 Systems theory; control (93-XX) 28 Integral transforms, operational calculus (44-XX) 22 Ordinary differential equations (34-XX) 21 Combinatorics (05-XX) 18 General topology (54-XX) 18 Mechanics of deformable solids (74-XX) 18 Fluid mechanics (76-XX) 17 Manifolds and cell complexes (57-XX) 16 History and biography (01-XX) 16 Linear and multilinear algebra; matrix theory (15-XX) 16 Convex and discrete geometry (52-XX) 15 Topological groups, Lie groups (22-XX) 14 Sequences, series, summability (40-XX) 14 Statistics (62-XX) 14 Statistical mechanics, structure of matter (82-XX) 14 Operations research, mathematical programming (90-XX) 13 Integral equations (45-XX) 10 Algebraic geometry (14-XX) 9 Geometry (51-XX) 9 Computer science (68-XX) 7 Group theory and generalizations (20-XX) 6 Special functions (33-XX) 4 General and overarching topics; collections (00-XX) 4 Mathematical logic and foundations (03-XX) 4 Difference and functional equations (39-XX) 4 Optics, electromagnetic theory (78-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Nonassociative rings and algebras (17-XX) 3 Mechanics of particles and systems (70-XX) 3 Relativity and gravitational theory (83-XX) 1 Associative rings and algebras (16-XX) 1 \(K\)-theory (19-XX) 1 Algebraic topology (55-XX) 1 Geophysics (86-XX) 1 Biology and other natural sciences (92-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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