Arne Beurling

4.0k total citations
18 papers, 1.3k citations indexed

About

Arne Beurling is a scholar working on Mathematical Physics, Applied Mathematics and Geometry and Topology. According to data from OpenAlex, Arne Beurling has authored 18 papers receiving a total of 1.3k indexed citations (citations by other indexed papers that have themselves been cited), including 7 papers in Mathematical Physics, 6 papers in Applied Mathematics and 4 papers in Geometry and Topology. Recurrent topics in Arne Beurling's work include Advanced Mathematical Modeling in Engineering (3 papers), advanced mathematical theories (3 papers) and Mathematical Analysis and Transform Methods (2 papers). Arne Beurling is often cited by papers focused on Advanced Mathematical Modeling in Engineering (3 papers), advanced mathematical theories (3 papers) and Mathematical Analysis and Transform Methods (2 papers). Arne Beurling collaborates with scholars based in United States and Germany. Arne Beurling's co-authors include Lars V. Ahlfors, Jacques Deny, Paul Malliavin, Henry Helson and A. E. Livingston and has published in prestigious journals such as Proceedings of the National Academy of Sciences, Annals of Mathematics and Journal of Functional Analysis.

In The Last Decade

Arne Beurling

18 papers receiving 965 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name	h						Papers	Cites
Arne Beurling United States	15	838	561	458	203	94	18	1.3k
N. Aronszajn United States	15	849 1.0×	805 1.4×	395 0.9×	559 2.8×	73 0.8×	23	1.5k
Leon Ehrenpreis United States	17	667 0.8×	486 0.9×	239 0.5×	195 1.0×	130 1.4×	42	1.1k
Paul Koosis Canada	12	686 0.8×	416 0.7×	166 0.4×	188 0.9×	80 0.9×	25	972
Gottfried Köthe Germany	8	526 0.6×	837 1.5×	416 0.9×	372 1.8×	259 2.8×	12	1.4k
N. Th. Varopoulos France	18	1.1k 1.3×	964 1.7×	536 1.2×	393 1.9×	110 1.2×	44	1.7k
Mahlon M. Day United States	14	432 0.5×	791 1.4×	471 1.0×	470 2.3×	217 2.3×	24	1.3k
Hikosaburo Komatsu Japan	15	466 0.6×	432 0.8×	159 0.3×	192 0.9×	72 0.8×	30	754
G. Lumer Belgium	13	575 0.7×	617 1.1×	129 0.3×	450 2.2×	272 2.9×	40	1.1k
S. R. Foguel Israel	15	293 0.3×	471 0.8×	124 0.3×	186 0.9×	119 1.3×	44	830
Rolf Nevanlinna Finland	8	578 0.7×	209 0.4×	415 0.9×	107 0.5×	62 0.7×	18	971

Countries citing papers authored by Arne Beurling

Since Specialization

Citations

This map shows the geographic impact of Arne Beurling's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Arne Beurling with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Arne Beurling more than expected).

Fields of papers citing papers by Arne Beurling

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Arne Beurling. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Arne Beurling. The network helps show where Arne Beurling may publish in the future.

Co-authorship network of co-authors of Arne Beurling

This figure shows the co-authorship network connecting the top 25 collaborators of Arne Beurling. A scholar is included among the top collaborators of Arne Beurling based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Arne Beurling. Arne Beurling is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

Sort: Min cites: Since: Top N: Style:

18 of 18 papers shown

Beurling, Arne. (1972). Analytic continuation across a linear boundary. Acta Mathematica. 128(0). 153–182. 35 indexed citations

Beurling, Arne. (1970). On analytic extension of semigroups of operators. Journal of Functional Analysis. 6(3). 387–400. 14 indexed citations

Beurling, Arne & Paul Malliavin. (1967). On the closure of characters and the zeros of entire functions. Acta Mathematica. 118(0). 79–93. 91 indexed citations

Beurling, Arne. (1966). A minimum principle for positive harmonic functions. Annales Academiae Scientiarum Fennicae Series A I Mathematica. 1966. 1–7. 21 indexed citations

Beurling, Arne. (1964). Construction and analysis of some convolution algebras. Annales de l’institut Fourier. 14(2). 1–32. 104 indexed citations

Beurling, Arne. (1964). A critical topology in harmonic analysis on semigroups. Acta Mathematica. 112(0). 215–228. 17 indexed citations

Beurling, Arne & A. E. Livingston. (1962). A theorem on duality mappings in Banach spaces. Arkiv för matematik. 4(5). 405–411. 41 indexed citations

Beurling, Arne & Paul Malliavin. (1962). On fourier transforms of measures with compact support. Acta Mathematica. 107(3-4). 291–309. 108 indexed citations

Beurling, Arne. (1960). An Automorphism of Product Measures. Annals of Mathematics. 72(1). 189–189. 73 indexed citations

10.

Beurling, Arne & Jacques Deny. (1959). DIRICHLET SPACES. Proceedings of the National Academy of Sciences. 45(2). 208–215. 158 indexed citations

11.

Beurling, Arne & Jacques Deny. (1958). Espaces de dirichlet: I. Le cas élémentaire. Acta Mathematica. 99(0). 203–224. 101 indexed citations

12.

Beurling, Arne & Lars V. Ahlfors. (1956). The boundary correspondence under quasiconformal mappings. Acta Mathematica. 96(0). 125–142. 363 indexed citations

13.

Beurling, Arne. (1955). A CLOSURE PROBLEM RELATED TO THE RIEMANN ZETA-FUNCTION. Proceedings of the National Academy of Sciences. 41(5). 312–314. 41 indexed citations

14.

Helson, Henry & Arne Beurling. (1953). Fourier-Stieltjes transforms with bounded powers. MATHEMATICA SCANDINAVICA. 1. 120–120. 56 indexed citations

15.

Beurling, Arne. (1953). A theorem on functions defined on a semi-group. MATHEMATICA SCANDINAVICA. 1. 127–127. 22 indexed citations

16.

Beurling, Arne. (1953). An extension of the Riemann mapping theorem. Acta Mathematica. 90(0). 117–130. 14 indexed citations

17.

Beurling, Arne. (1951). On a closure problem. Arkiv för matematik. 1(4). 301–303. 11 indexed citations

18.

Beurling, Arne. (1951). An extremal property of the Riemann zeta-function. Arkiv för matematik. 1(4). 295–300. 3 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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