Bent Fuglede

4.4k total citations
81 papers, 2.3k citations indexed

About

Bent Fuglede is a scholar working on Applied Mathematics, Computational Theory and Mathematics and Mathematical Physics. According to data from OpenAlex, Bent Fuglede has authored 81 papers receiving a total of 2.3k indexed citations (citations by other indexed papers that have themselves been cited), including 47 papers in Applied Mathematics, 30 papers in Computational Theory and Mathematics and 23 papers in Mathematical Physics. Recurrent topics in Bent Fuglede's work include Advanced Mathematical Modeling in Engineering (20 papers), Geometric Analysis and Curvature Flows (16 papers) and Nonlinear Partial Differential Equations (13 papers). Bent Fuglede is often cited by papers focused on Advanced Mathematical Modeling in Engineering (20 papers), Geometric Analysis and Curvature Flows (16 papers) and Nonlinear Partial Differential Equations (13 papers). Bent Fuglede collaborates with scholars based in Denmark, Germany and Ukraine. Bent Fuglede's co-authors include Flemming Topsøe, Richard V. Kadison, Mikhael Gromov, James Eells, Jan Wiegerinck, M. Goldstein, Lothar Rogge, Horst Alzer, W. K. Hayman and Werner Haußmann and has published in prestigious journals such as Proceedings of the National Academy of Sciences, Communications in Mathematical Physics and Annals of Mathematics.

In The Last Decade

Bent Fuglede

76 papers receiving 2.0k citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Bent Fuglede Denmark	19	1.5k	804	728	434	204	81	2.3k
Vitali Milman Israel	30	1.9k 1.3×	1.0k 1.3×	1.1k 1.5×	765 1.8×	273 1.3×	115	3.4k
C. A. Rogers United Kingdom	27	816 0.6×	695 0.9×	815 1.1×	571 1.3×	125 0.6×	114	2.4k
Carlos A. Berenstein United States	27	1.1k 0.7×	557 0.7×	538 0.7×	397 0.9×	88 0.4×	128	2.0k
Michel Ledoux France	30	2.1k 1.4×	1.3k 1.6×	640 0.9×	531 1.2×	599 2.9×	114	4.6k
Laurent Saloff‐Coste United States	23	1.5k 1.0×	1.6k 2.0×	803 1.1×	648 1.5×	273 1.3×	80	3.1k
Yitzhak Katznelson United States	21	1.1k 0.8×	1.5k 1.9×	796 1.1×	650 1.5×	131 0.6×	63	3.1k
Herbert Fédérer United States	17	2.1k 1.4×	968 1.2×	1.3k 1.8×	928 2.1×	55 0.3×	38	3.3k
F. W. Warner United States	14	1.6k 1.1×	840 1.0×	934 1.3×	717 1.7×	56 0.3×	20	2.7k
Karl Stromberg United States	15	1.0k 0.7×	926 1.2×	522 0.7×	683 1.6×	160 0.8×	29	2.7k
Gideon Schechtman Israel	25	1.1k 0.8×	980 1.2×	406 0.6×	416 1.0×	226 1.1×	100	2.1k

Countries citing papers authored by Bent Fuglede

Since Specialization

Citations

This map shows the geographic impact of Bent Fuglede'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 Bent Fuglede with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Bent Fuglede more than expected).

Fields of papers citing papers by Bent Fuglede

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Bent Fuglede. 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 Bent Fuglede. The network helps show where Bent Fuglede may publish in the future.

Co-authorship network of co-authors of Bent Fuglede

This figure shows the co-authorship network connecting the top 25 collaborators of Bent Fuglede. A scholar is included among the top collaborators of Bent Fuglede 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 Bent Fuglede. Bent Fuglede is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Fuglede, Bent, et al.. (2018). The Dirichlet problem at the Martin boundary of a fine domain. Research at the University of Copenhagen (University of Copenhagen).

Fuglede, Bent, et al.. (2014). Sweeping and the Dirichlet problem at the Martin boundary of a fine domain. arXiv (Cornell University). 1 indexed citations

Fuglede, Bent & Søren Jensen. (2013). Positive projections of symmetric matrices and Jordan algebras. Expositiones Mathematicae. 31(3). 295–303. 4 indexed citations

Alzer, Horst & Bent Fuglede. (2012). On a trigonometric inequality of Turán. Journal of Approximation Theory. 164(11). 1496–1500. 3 indexed citations

Fuglede, Bent, et al.. (2011). Plurisubharmonic and holomorphic functions relative to the plurifine topology. Journal of Mathematical Analysis and Applications. 381(2). 706–723. 16 indexed citations

Fuglede, Bent. (2010). Polyhedra as domains of harmonic maps. Topology and its Applications. 157(5). 815–830.

Fuglede, Bent. (2006). A SHARPENING OF A THEOREM OF BOULIGAND. WITH AN APPLICATION TO HARMONIC MAPS. Annales Academiae Scientiarum Fennicae Mathematica. 31(1). 173–190. 3 indexed citations

Alzer, Horst & Bent Fuglede. (2005). Normalized binomial mid-coefficients and power means. Journal of Number Theory. 115(2). 284–294. 4 indexed citations

Fuglede, Bent. (2005). Spirals in Hilbert space: With an application in information theory. Expositiones Mathematicae. 23(1). 23–45. 9 indexed citations

10.

Fuglede, Bent & Flemming Topsøe. (2004). Jensen-Shannon divergence and Hilbert space embedding. 30–30. 387 indexed citations

11.

Fuglede, Bent. (2003). FINITE ENERGY MAPS FROM RIEMANNIAN POLYHEDRA TO METRIC SPACES. Annales Academiae Scientiarum Fennicae Mathematica. 28(2). 433–458. 9 indexed citations

12.

Fuglede, Bent. (1999). Continuous Domain Dependence of the Eigenvalues of the Dirichlet Laplacian and Related Operators in Hilbert Space. Journal of Functional Analysis. 167(1). 183–200. 12 indexed citations

13.

Fuglede, Bent. (1999). The Dirichlet Laplacian on Finely Open Sets. Potential Analysis. 10(1). 91–101. 9 indexed citations

14.

Fuglede, Bent. (1993). Lower estimate of the isoperimetric deficit of convex domains inR n in terms of asymmetry. Geometriae Dedicata. 47(1). 41–48. 4 indexed citations

15.

Fuglede, Bent, et al.. (1990). No two quotients of normalized binomial mid-coefficients are equal. Journal of Number Theory. 35(3). 345–349. 6 indexed citations

16.

Fuglede, Bent. (1990). On the mean value property of finely harmonic and finely hyperharmonic functions. Aequationes Mathematicae. 39(2-3). 198–203. 3 indexed citations

17.

Berg, Christian & Bent Fuglede. (1990). Liouville’s operator for a disc in space. manuscripta mathematica. 67(1). 165–185. 5 indexed citations

18.

Fuglede, Bent. (1982). Localization in fine potential theory and uniform approximation by subharmonic functions. Journal of Functional Analysis. 49(1). 57–72. 8 indexed citations

19.

Fuglede, Bent. (1966). Quasi topology and fine topology. French digital mathematics library (Numdam). 10(2). 1–14. 8 indexed citations

20.

Fuglede, Bent. (1957). Extremal length and functional completion. Acta Mathematica. 98(0). 171–219. 258 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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