Frank Hansen

2.3k total citations
63 papers, 1.1k citations indexed

About

Frank Hansen is a scholar working on Applied Mathematics, Computational Theory and Mathematics and Mathematical Physics. According to data from OpenAlex, Frank Hansen has authored 63 papers receiving a total of 1.1k indexed citations (citations by other indexed papers that have themselves been cited), including 32 papers in Applied Mathematics, 17 papers in Computational Theory and Mathematics and 14 papers in Mathematical Physics. Recurrent topics in Frank Hansen's work include Mathematical Inequalities and Applications (28 papers), Matrix Theory and Algorithms (15 papers) and Holomorphic and Operator Theory (12 papers). Frank Hansen is often cited by papers focused on Mathematical Inequalities and Applications (28 papers), Matrix Theory and Algorithms (15 papers) and Holomorphic and Operator Theory (12 papers). Frank Hansen collaborates with scholars based in Denmark, Japan and Italy. Frank Hansen's co-authors include Jørgen Bach Andersen, Karsten R. Gerdrup, André K. Anundsen, ‎Josip Pečarić, I‎. ‎Perić, Huzihiro Araki, Paolo Gibilisco, Gert K. Pedersen, Chris Jensen‐Butler and Jun Tomiyama and has published in prestigious journals such as Proceedings of the National Academy of Sciences, Computer Physics Communications and IEEE Transactions on Vehicular Technology.

In The Last Decade

Frank Hansen

55 papers receiving 954 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Frank Hansen Denmark	15	444	261	196	183	170	63	1.1k
Árpád Baricz Romania	24	1.4k 3.0×	147 0.6×	93 0.5×	63 0.3×	83 0.5×	99	1.9k
Harold Exton United Kingdom	11	289 0.7×	151 0.6×	38 0.2×	66 0.4×	121 0.7×	41	768
József Beck United States	21	232 0.5×	89 0.3×	154 0.8×	590 3.2×	80 0.5×	67	1.4k
William N. Anderson United States	12	324 0.7×	71 0.3×	178 0.9×	655 3.6×	82 0.5×	25	1.1k
Sergey G. Bobkov United States	22	1.2k 2.7×	105 0.4×	479 2.4×	200 1.1×	28 0.2×	81	2.0k
Ilia Krasikov Israel	12	165 0.4×	132 0.5×	80 0.4×	191 1.0×	52 0.3×	71	563
Yanqing Yin China	12	120 0.3×	132 0.5×	428 2.2×	44 0.2×	136 0.8×	33	1.1k
Juan‐Pablo Ortega France	19	83 0.2×	88 0.3×	290 1.5×	31 0.2×	47 0.3×	80	1.1k
Laurent Decreusefond France	15	210 0.5×	125 0.5×	211 1.1×	65 0.4×	114 0.7×	67	1.0k
M. M. Rao United States	16	202 0.5×	38 0.1×	248 1.3×	128 0.7×	52 0.3×	85	971

Countries citing papers authored by Frank Hansen

Since Specialization

Citations

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

Fields of papers citing papers by Frank Hansen

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Frank Hansen

This figure shows the co-authorship network connecting the top 25 collaborators of Frank Hansen. A scholar is included among the top collaborators of Frank Hansen 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 Frank Hansen. Frank Hansen 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

Hansen, Frank, et al.. (2025). Effects of resistance-based training and polyphenol supplementation on physical function, metabolism, and inflammation in aging individuals. GeroScience. 48(2). 2945–2968. 2 indexed citations

Hansen, Frank, et al.. (2023). Decoding Urban Archetypes: Exploring Mobility-Related Homogeneity among Cities. Sustainability. 15(19). 14231–14231.

Gibilisco, Paolo, Davide Girolami, & Frank Hansen. (2021). A Unified Approach to Local Quantum Uncertainty and Interferometric Power by Metric Adjusted Skew Information. Entropy. 23(3). 263–263. 10 indexed citations

Hansen, Frank, et al.. (2018). Driving Forces Behind European Commercial Real Estate Prices Prior to a Sharp Fall in Prices. BIBSYS Brage (BIBSYS (Norway)). 2 indexed citations

Hansen, Frank. (2018). Convex multivariate operator means. Linear Algebra and its Applications. 564. 209–224. 3 indexed citations

Gerdrup, Karsten R., et al.. (2016). Leaning Against the Wind When Credit Bites Back. International journal of central banking. 13(3). 287–320. 12 indexed citations

Hansen, Frank. (2014). Regular operator mappings and multivariate geometric means. Linear Algebra and its Applications. 461. 123–138. 14 indexed citations

Hansen, Frank. (2013). Convexity of the residual entropy. arXiv (Cornell University). 1 indexed citations

Gibilisco, Paolo, Frank Hansen, & Tommaso Isola. (2009). On a correspondence between regular and non-regular operator monotone functions. Linear Algebra and its Applications. 430(8-9). 2225–2232. 21 indexed citations

10.

Hansen, Frank & Jun Tomiyama. (2006). Differential analysis of matrix convex functions. Linear Algebra and its Applications. 420(1). 102–116. 15 indexed citations

11.

Hansen, Frank. (2006). Characterizations of symmetric monotone metrics on the state space of quantum systems. Quantum Information and Computation. 6(7). 597–605. 10 indexed citations

12.

Hansen, Frank. (2002). Convex trace functions of several variables. Linear Algebra and its Applications. 341(1-3). 309–315. 3 indexed citations

13.

Araki, Huzihiro & Frank Hansen. (2000). Jensen’s operator inequality for functions of several variables. Proceedings of the American Mathematical Society. 128(7). 2075–2084. 23 indexed citations

14.

Hansen, Frank. (1997). Operator Convex Functions of Several Variables. Publications of the Research Institute for Mathematical Sciences. 33(3). 443–463. 18 indexed citations

15.

Hansen, Frank & Chris Jensen‐Butler. (1996). Economic Crisis and the Regional and Local Economic Effects of the Welfare State: The Case of Denmark. Regional Studies. 30(2). 167–187. 15 indexed citations

16.

Hansen, Frank & Gert K. Pedersen. (1995). Perturbation Formulas for Traces on $C^*$-algebras. Publications of the Research Institute for Mathematical Sciences. 31(1). 169–178. 14 indexed citations

17.

Hansen, Frank. (1992). Functions of matrices with nonnegative entries. Linear Algebra and its Applications. 166. 29–43. 3 indexed citations

18.

Hansen, Frank. (1990). The Moyal Product and Spectral Theory for a Class of Infinite Dimensional Matrices. Publications of the Research Institute for Mathematical Sciences. 26(6). 885–933. 6 indexed citations

19.

Hansen, Frank, et al.. (1982). Jensen's inequality for operators and L�wner's theorem. Mathematische Annalen. 258(3). 229–241. 162 indexed citations

20.

Hansen, Frank. (1980). An operator inequality. Mathematische Annalen. 246(3). 249–250. 94 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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