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 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 46 Publications have been cited 2,015 times in 1,814 Documents Cited by ▼ Year ▼ On two problems concerning linear transformations in Hilbert space. Zbl 0033.37701Beurling, Arne 288 1949 The boundary correspondence under quasiconformal mappings. Zbl 0072.29602Beurling, Arne; Ahlfors, Lars V. 270 1956 Confromal invariants and function-theoretic null-sets. Zbl 0041.20301Ahlfors, Lars; Beurling, Arne 205 1950 Dirichlet spaces. Zbl 0089.08201Beurling, A.; Deny, Jacques 140 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 0732.01042Beurling, Arne 121 1989 Espaces de Dirichlet. I: Le cas élémentaire. Zbl 0089.08106Beurling, A.; Deny, Jacques 82 1958 Construction and analysis of some convolution algebras. Zbl 0133.07501Beurling, Arne 80 1964 On the closure of characters and the zeros of entire functions. Zbl 0171.11901Beurling, A.; Malliavin, P. 76 1967 On Fourier transforms of measures with compact support. Zbl 0127.32601Beurling, A.; Malliavin, P. 72 1962 An automorphism of product measures. Zbl 0091.13001Beurling, Arne 57 1960 Ensembles exceptionnels. Zbl 0023.14204Beurling, Arne 54 1940 On the spectral synthesis of bounded functions. Zbl 0034.21301Beurling, Arne 50 1949 Sur les intégrales de Fourier absolument convergentes et leur application à une transformation fonctionnelle. JFM 65.0483.02Beurling, A. 48 1938 A closure problem related to the Riemann zeta-function. Zbl 0065.30303Beurling, Arne 43 1955 Fourier-Stieltjes transforms with bounded powers. Zbl 0050.33004Beurling, Arne; Helson, Henry 40 1953 Analyse de la loi asymptotique de la distribution des nombres premiers généralises. Zbl 0017.29604Beurling, Arne 37 1937 Études sur un problème de majoration. Zbl 0008.31802Beurling, Arne 36 1933 Analyse de la loi asymptotique de la distribution des nombres premiers généralisés. I. JFM 63.0138.01Beurling, A. 35 1937 Un théorème sur les fonctions bornees et uniformement continues sur l’axe réel. Zbl 0061.13311Beurling, Arne 35 1945 Analytic continuation across a linear boundary. Zbl 0235.30003Beurling, Arne 31 1972 A theorem on duality mappings in Banach spaces. Zbl 0105.09301Beurling, Arne; Livingston, A. E. 30 1962 Ensembles exceptionnels. JFM 66.0449.01Beurling, A. 25 1940 Etudes sur un problème de majoration. JFM 59.1042.03Beurling, A. 16 1933 A critical topology in harmonic analysis on semigroups. Zbl 0196.15701Beurling, A. 16 1964 A minimum principle for positive harmonic functions. Zbl 0139.06402Beurling, A. 15 1965 On analytic extension of semigroups of operators. Zbl 0203.13901Beurling, A. 13 1970 On a closure problem. Zbl 0042.35402Beurling, Arne 12 1951 Sur la composition d’une fonction sommable et d’une fonction bornee. Zbl 0029.04602Beurling, A. 11 1947 An extension of the Riemann mapping theorem. Zbl 0051.06004Beurling, Arne 11 1953 Sur les spectres des fonctions. Zbl 0040.21102Beurling, Arne 10 1949 On free-boundary problems for the Laplace equations. Zbl 0099.08302Beurling, A. 8 1958 Sur les fonctions limites quasi analytiques des fractions rationnelles. Zbl 0012.02303Beurling, Arne 7 1935 Some theorems on boundedness of analytic functions. Zbl 0033.36503Beurling, Arne 7 1949 Sur les fonctions limites quasi analytiques des fractions rationnelles. JFM 61.1139.02Beurling, A. 6 1934 Conformal invariants. Zbl 0049.17702Ahlfors, Lars V.; Beurling, Arne 5 1952 A theorem on functions defined on a semigroup. Zbl 0050.33701Beurling, Arne 5 1953 Analyse spectrale de pseudomesures. Zbl 0127.07501Beurling, A. 3 1964 Sur les intégrales de Fourier absolument convergentes et leur application à une transformation fonctionnelle. Zbl 0021.32201Beurling, Arne 3 1939 Invariants conformes et problèmes extremaux. Zbl 0030.35601Ahlfors, Lars V.; Beurling, Arne 3 1947 Notes on Dirichlet series. Zbl 0115.28802Beurling, A. 2 1963 An extremal property of the Riemann zetafunction. Zbl 0042.31202Beurling, Arne 2 1951 Analyse spectrale de pseudomesures. Sur les mesures prehausdorffiennes dans l’analyse harmonique. Zbl 0123.09801Beurling, Arne 1 1964 Analyse harmonique des pseudomesures. Intégration par rapport aux pseudomesures. Zbl 0127.07502Beurling, A. 1 1964 Analyse harmonique de pseudomesures. Intégration par rapport aux pseudomesures. Zbl 0127.07503Beurling, A. 1 1964 Analyse harmonique de pseudomesures. Intégration. Zbl 0127.07601Beurling, A. 1 1964 Sur quelques formes positives avec une application à la théorie ergodique. Zbl 0063.00360Beurling, 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 0732.01042Beurling, Arne 121 1989 Analytic continuation across a linear boundary. Zbl 0235.30003Beurling, Arne 31 1972 On analytic extension of semigroups of operators. Zbl 0203.13901Beurling, A. 13 1970 On the closure of characters and the zeros of entire functions. Zbl 0171.11901Beurling, A.; Malliavin, P. 76 1967 A minimum principle for positive harmonic functions. Zbl 0139.06402Beurling, A. 15 1965 Construction and analysis of some convolution algebras. Zbl 0133.07501Beurling, Arne 80 1964 A critical topology in harmonic analysis on semigroups. Zbl 0196.15701Beurling, A. 16 1964 Analyse spectrale de pseudomesures. Zbl 0127.07501Beurling, A. 3 1964 Analyse spectrale de pseudomesures. Sur les mesures prehausdorffiennes dans l’analyse harmonique. Zbl 0123.09801Beurling, Arne 1 1964 Analyse harmonique des pseudomesures. Intégration par rapport aux pseudomesures. Zbl 0127.07502Beurling, A. 1 1964 Analyse harmonique de pseudomesures. Intégration par rapport aux pseudomesures. Zbl 0127.07503Beurling, A. 1 1964 Analyse harmonique de pseudomesures. Intégration. Zbl 0127.07601Beurling, A. 1 1964 Notes on Dirichlet series. Zbl 0115.28802Beurling, A. 2 1963 On Fourier transforms of measures with compact support. Zbl 0127.32601Beurling, A.; Malliavin, P. 72 1962 A theorem on duality mappings in Banach spaces. Zbl 0105.09301Beurling, Arne; Livingston, A. E. 30 1962 An automorphism of product measures. Zbl 0091.13001Beurling, Arne 57 1960 Dirichlet spaces. Zbl 0089.08201Beurling, A.; Deny, Jacques 140 1959 Espaces de Dirichlet. I: Le cas élémentaire. Zbl 0089.08106Beurling, A.; Deny, Jacques 82 1958 On free-boundary problems for the Laplace equations. Zbl 0099.08302Beurling, A. 8 1958 The boundary correspondence under quasiconformal mappings. Zbl 0072.29602Beurling, Arne; Ahlfors, Lars V. 270 1956 A closure problem related to the Riemann zeta-function. Zbl 0065.30303Beurling, Arne 43 1955 Fourier-Stieltjes transforms with bounded powers. Zbl 0050.33004Beurling, Arne; Helson, Henry 40 1953 An extension of the Riemann mapping theorem. Zbl 0051.06004Beurling, Arne 11 1953 A theorem on functions defined on a semigroup. Zbl 0050.33701Beurling, Arne 5 1953 Conformal invariants. Zbl 0049.17702Ahlfors, Lars V.; Beurling, Arne 5 1952 On a closure problem. Zbl 0042.35402Beurling, Arne 12 1951 An extremal property of the Riemann zetafunction. Zbl 0042.31202Beurling, Arne 2 1951 Confromal invariants and function-theoretic null-sets. Zbl 0041.20301Ahlfors, Lars; Beurling, Arne 205 1950 On two problems concerning linear transformations in Hilbert space. Zbl 0033.37701Beurling, Arne 288 1949 On the spectral synthesis of bounded functions. Zbl 0034.21301Beurling, Arne 50 1949 Sur les spectres des fonctions. Zbl 0040.21102Beurling, Arne 10 1949 Some theorems on boundedness of analytic functions. Zbl 0033.36503Beurling, Arne 7 1949 Sur la composition d’une fonction sommable et d’une fonction bornee. Zbl 0029.04602Beurling, A. 11 1947 Invariants conformes et problèmes extremaux. Zbl 0030.35601Ahlfors, Lars V.; Beurling, Arne 3 1947 Sur quelques formes positives avec une application à la théorie ergodique. Zbl 0063.00360Beurling, Arne 1 1946 Un théorème sur les fonctions bornees et uniformement continues sur l’axe réel. Zbl 0061.13311Beurling, Arne 35 1945 Ensembles exceptionnels. Zbl 0023.14204Beurling, Arne 54 1940 Ensembles exceptionnels. JFM 66.0449.01Beurling, A. 25 1940 Sur les intégrales de Fourier absolument convergentes et leur application à une transformation fonctionnelle. Zbl 0021.32201Beurling, Arne 3 1939 Sur les intégrales de Fourier absolument convergentes et leur application à une transformation fonctionnelle. JFM 65.0483.02Beurling, A. 48 1938 Analyse de la loi asymptotique de la distribution des nombres premiers généralises. Zbl 0017.29604Beurling, Arne 37 1937 Analyse de la loi asymptotique de la distribution des nombres premiers généralisés. I. JFM 63.0138.01Beurling, A. 35 1937 Sur les fonctions limites quasi analytiques des fractions rationnelles. Zbl 0012.02303Beurling, Arne 7 1935 Sur les fonctions limites quasi analytiques des fractions rationnelles. JFM 61.1139.02Beurling, A. 6 1934 Études sur un problème de majoration. Zbl 0008.31802Beurling, Arne 36 1933 Etudes sur un problème de majoration. JFM 59.1042.03Beurling, A. 16 1933 all cited Publications top 5 cited Publications all top 5 Cited by 1,695 Authors 22 Ito, Masayuki 19 Olevskii, Alexander Moiseevich 17 Shen, Yuliang 16 Ulanovskii, Alexander M. 15 Seip, Kristian 13 Briane, Marc 13 Liflyand, Elijah 13 Wei, Huaying 11 Hedenmalm, Håkan 11 Shlyk, Vladimir Alekseevich 11 Vindas, Jasson 11 Zhang, Wenbin 10 Fukushima, Masatoshi 10 Koskela, Pekka 10 Pavon, Michele 10 Shanmugalingam, Nageswari 10 Zambrini, Jean-Claude 9 Carleson, Lennart 9 Fuhrmann, Paul A. 9 Gutlyanskiĭ, Vladimir Ya. 9 Neuberger, John W. 9 Sarkar, Jaydeb 9 Vuorinen, Matti Keijo Kustaa 8 Agarwal, Ravi P. 8 Benedetto, John Joseph 8 Brennan, James E. 8 Casado-Díaz, Juan 8 El-Fallah, Omar 8 Gröchenig, Karlheinz 8 Kellay, Karim 8 Martio, Olli 8 Nikol’skiĭ, Nikolaĭ Kapitonovich 8 Ryazanov, Vladimir Il’ich 8 Tang, ShuAn 8 Yang, Shanshuang 7 Aseev, Vladislav Vasil’evich 7 Baranov, Anton D. 7 Beurling, Arne 7 Debruyne, Gregory 7 Douglas, Ronald George 7 Dubinin, Vladimir N. 7 Georgiou, Tryphon T. 7 Hilberdink, Titus W. 7 Iwaniec, Tadeusz 7 Izuchi, Kou Hei 7 Jones, Peter Wilcox 7 Kinukawa, Masakiti 7 Koosis, Paul 7 Kovalev, Leonid V. 7 Martin, Gaven J. 7 Matsuoka, Katsuo 7 Özbekler, Abdullah 7 Suita, Nobuyuki 7 Yu, Tao 6 Albeverio, Sergio A. 6 Ball, Joseph Anthony 6 Browder, Felix Earl 6 Chen, Yongxin 6 Cheng, Tao 6 Cipriani, Fabio 6 Domar, Yngve 6 Gehring, Frederick William 6 Izuchi, Keiji 6 Kahane, Jean-Pierre 6 Lu, Yufeng 6 Mejjaoli, Hatem 6 Poltoratski, Alexei G. 6 Pommerenke, Christian 6 Popescu, Gelu 6 Richter, Stefan 6 Salimov, Ruslan Radikovich 6 Sauvageot, Jean-Luc 6 Trigub, Roal’d Mikhaĭlovich 6 Wu, Jang-Mei 5 Astala, Kari 5 Belov, Yurii S. 5 Borichev, Aleksandr Aleksandrovich 5 Daher, Radouan 5 Diamond, Harold George 5 Dymchenko, Yuriĭ Viktorovich 5 Essén, Matts Raguel 5 Esterle, Jean 5 Gallardo-Gutiérrez, Eva Antonia 5 Gu, Caixing 5 Hedberg, Lars Inge 5 Helson, Henry 5 Lu, Shanzhen 5 Lyubarskii, Yurii I. 5 Malliavin, Paul 5 Mashreghi, Javad 5 Mizuta, Yoshihiro 5 Ntalampekos, Dimitrios 5 Ortega-Cerdà, Joaquim 5 Ozawa, Mitsuru 5 Pesenson, Isaac Zalmanovich 5 Rodin, Burton 5 Roth, Oliver 5 Saias, Eric 5 Sario, Leo 5 Seco, Daniel ...and 1,595 more Authors all top 5 Cited in 309 Serials 91 Proceedings of the American Mathematical Society 83 Journal of Functional Analysis 82 Transactions of the American Mathematical Society 81 Journal of Mathematical Analysis and Applications 52 Acta Mathematica 51 Journal d’Analyse Mathématique 47 Arkiv för Matematik 42 Advances in Mathematics 39 Annales de l’Institut Fourier 29 Journal of Mathematical Sciences (New York) 28 Nagoya Mathematical Journal 28 Bulletin of the American Mathematical Society 25 Integral Equations and Operator Theory 25 Mathematische Zeitschrift 25 Siberian Mathematical Journal 23 Acta Mathematica Sinica. English Series 20 The Journal of Fourier Analysis and Applications 20 Computational Methods and Function Theory 19 Mathematische Annalen 19 Tôhoku Mathematical Journal. Second Series 19 Complex Variables and Elliptic Equations 18 Israel Journal of Mathematics 18 Mathematical Notes 18 Comptes Rendus. Mathématique. Académie des Sciences, Paris 17 Journal of Number Theory 17 Kodai Mathematical Seminar Reports 17 Proceedings of the Japan Academy 16 Journal of Mathematical Physics 15 Journal of Soviet Mathematics 15 Complex Analysis and Operator Theory 13 Journal of Approximation Theory 12 Inventiones Mathematicae 12 Analysis and Mathematical Physics 11 Archive for Rational Mechanics and Analysis 11 Ukrainian Mathematical Journal 11 Archiv der Mathematik 11 St. Petersburg Mathematical Journal 10 Communications in Mathematical Physics 10 Rocky Mountain Journal of Mathematics 10 Functional Analysis and its Applications 9 Duke Mathematical Journal 9 Revista Matemática Iberoamericana 9 Potential Analysis 9 Applied and Computational Harmonic Analysis 8 Annali di Matematica Pura ed Applicata. Serie Quarta 8 The Journal of Geometric Analysis 8 Journal de Mathématiques Pures et Appliquées. Neuvième Série 8 Linear Algebra and its Applications 8 Science China. Mathematics 8 Annales Fennici Mathematici 7 Mathematische Nachrichten 7 Monatshefte für Mathematik 7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 7 Rendiconti del Circolo Matemàtico di Palermo. Serie II 7 Results in Mathematics 7 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 7 Expositiones Mathematicae 7 Annales Academiae Scientiarum Fennicae. Mathematica 7 Banach Journal of Mathematical Analysis 7 Journal of Function Spaces 6 Bulletin of the London Mathematical Society 6 Journal für die Reine und Angewandte Mathematik 6 Science in China. Series A 6 Calculus of Variations and Partial Differential Equations 6 Bulletin des Sciences Mathématiques 6 Conformal Geometry and Dynamics 6 Journal of Inequalities and Applications 6 Geometry & Topology 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 Acta Arithmetica 5 Czechoslovak Mathematical Journal 5 Journal of Computational and Applied Mathematics 5 Acta Mathematica Hungarica 5 Bulletin of the American Mathematical Society. New Series 5 Sbornik: Mathematics 5 Journal of the Australian Mathematical Society 4 Periodica Mathematica Hungarica 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 Canadian Mathematical Bulletin 4 Geometriae Dedicata 4 Journal of Differential Equations 4 Journal of the Mathematical Society of Japan 4 Journal of Optimization Theory and Applications 4 Proceedings of the Japan Academy. Series A 4 Journal of Theoretical Probability 4 Abstract and Applied Analysis 4 Probability Surveys 4 Ufimskiĭ Matematicheskiĭ Zhurnal 3 Applicable Analysis 3 Lithuanian Mathematical Journal 3 Reports on Mathematical Physics 3 The Mathematical Intelligencer 3 Applied Mathematics and Computation 3 Functiones et Approximatio. Commentarii Mathematici 3 Glasgow Mathematical Journal ...and 209 more Serials all top 5 Cited in 53 Fields 597 Functions of a complex variable (30-XX) 325 Functional analysis (46-XX) 318 Operator theory (47-XX) 253 Harmonic analysis on Euclidean spaces (42-XX) 198 Potential theory (31-XX) 133 Partial differential equations (35-XX) 123 Probability theory and stochastic processes (60-XX) 119 Number theory (11-XX) 101 Several complex variables and analytic spaces (32-XX) 80 Abstract harmonic analysis (43-XX) 57 Measure and integration (28-XX) 49 Information and communication theory, circuits (94-XX) 41 Real functions (26-XX) 41 Dynamical systems and ergodic theory (37-XX) 40 Calculus of variations and optimal control; optimization (49-XX) 39 Approximations and expansions (41-XX) 39 Quantum theory (81-XX) 37 Differential geometry (53-XX) 32 Global analysis, analysis on manifolds (58-XX) 26 Numerical analysis (65-XX) 26 Systems theory; control (93-XX) 22 Integral transforms, operational calculus (44-XX) 19 Ordinary differential equations (34-XX) 17 Combinatorics (05-XX) 16 Manifolds and cell complexes (57-XX) 16 Fluid mechanics (76-XX) 15 History and biography (01-XX) 15 Mechanics of deformable solids (74-XX) 14 Convex and discrete geometry (52-XX) 14 Statistical mechanics, structure of matter (82-XX) 13 Linear and multilinear algebra; matrix theory (15-XX) 13 General topology (54-XX) 11 Sequences, series, summability (40-XX) 11 Statistics (62-XX) 10 Topological groups, Lie groups (22-XX) 10 Operations research, mathematical programming (90-XX) 9 Integral equations (45-XX) 8 Geometry (51-XX) 7 Algebraic geometry (14-XX) 7 Computer science (68-XX) 6 Group theory and generalizations (20-XX) 4 General and overarching topics; collections (00-XX) 4 Mathematical logic and foundations (03-XX) 4 Special functions (33-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 Difference and functional equations (39-XX) 2 Mechanics of particles and systems (70-XX) 2 Relativity and gravitational theory (83-XX) 1 Associative rings and algebras (16-XX) 1 \(K\)-theory (19-XX) 1 Algebraic topology (55-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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