Frank Sommen

1.5k total citations
69 papers, 784 citations indexed

About

Frank Sommen is a scholar working on Applied Mathematics, Algebra and Number Theory and Geometry and Topology. According to data from OpenAlex, Frank Sommen has authored 69 papers receiving a total of 784 indexed citations (citations by other indexed papers that have themselves been cited), including 68 papers in Applied Mathematics, 15 papers in Algebra and Number Theory and 9 papers in Geometry and Topology. Recurrent topics in Frank Sommen's work include Algebraic and Geometric Analysis (66 papers), Mathematical Analysis and Transform Methods (47 papers) and Holomorphic and Operator Theory (38 papers). Frank Sommen is often cited by papers focused on Algebraic and Geometric Analysis (66 papers), Mathematical Analysis and Transform Methods (47 papers) and Holomorphic and Operator Theory (38 papers). Frank Sommen collaborates with scholars based in Belgium, Cuba and Italy. Frank Sommen's co-authors include Irene Sabadini, Fred Brackx, Dixan Peña Peña, Hennie De Schepper, Fabrizio Colombo, Nele De Schepper, Michael Shapiro, Uwe Kähler, Juan Bory Reyes and Ricardo Abreu Blaya and has published in prestigious journals such as Journal of Mathematical Analysis and Applications, Computers & Mathematics with Applications and Proceedings of the American Mathematical Society.

In The Last Decade

Frank Sommen

61 papers receiving 732 citations

Peers

Frank Sommen

ANT

CTM

Uwe Kähler Portugal

Guangbin Ren China

Paula Cerejeiras Portugal

Nikolai Vasilevski Mexico

Joaquim Ortega‐Cerdà Spain

Luís Daniel Abreu Austria

Helmuth R. Malonek Portugal

Klaus Habetha Germany

Dmitrii Karp Russia

Graziano Gentili Italy

Uwe Kähler Portugal

Frank Sommen

577 ×0.8

49 ×0.3

ANT

98 ×1.0

88 ×1.2

38 ×1.0

CTM

Citations per year, relative to Frank Sommen Frank Sommen (= 1×) peers Uwe Kähler

Countries citing papers authored by Frank Sommen

Since Specialization

Citations

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

Fields of papers citing papers by Frank Sommen

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Frank Sommen

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

Sommen, Frank, et al.. (2020). Pizzetti and Cauchy formulae for higher dimensional surfaces: A distributional approach. Journal of Mathematical Analysis and Applications. 489(1). 124140–124140. 1 indexed citations

Peña, Dixan Peña, Irene Sabadini, & Frank Sommen. (2017). On two-sided monogenic functions of axial type. Ghent University Academic Bibliography (Ghent University).

Schepper, Hennie De, et al.. (2017). Spin actions in Euclidean and Hermitian Clifford analysis in superspace. Journal of Mathematical Analysis and Applications. 457(1). 23–50. 2 indexed citations

He, Fuli, et al.. (2016). Riemann–Hilbert problems for null-solutions to iterated generalized Cauchy–Riemann equations in axially symmetric domains. Computers & Mathematics with Applications. 71(10). 1990–2000. 16 indexed citations

Sommen, Frank, et al.. (2015). Fueter's theorem in discrete Clifford analysis. Mathematical Methods in the Applied Sciences. 39(7). 1908–1920.

Bie, Hendrik De, Dixan Peña Peña, & Frank Sommen. (2013). Generating functions of orthogonal polynomials in higher dimensions. Journal of Approximation Theory. 178. 30–40. 2 indexed citations

Blaya, Ricardo Abreu, Juan Bory Reyes, Fred Brackx, Hennie De Schepper, & Frank Sommen. (2012). Hölder norm estimate for a Hilbert transform in Hermitean Clifford analysis. Acta Mathematica Sinica English Series. 28(11). 2289–2300. 1 indexed citations

Blaya, Ricardo Abreu, Juan Bory Reyes, Fred Brackx, Hennie De Schepper, & Frank Sommen. (2011). Cauchy Integral Formulae in Quaternionic Hermitean Clifford Analysis. Complex Analysis and Operator Theory. 6(5). 971–985. 16 indexed citations

Schepper, Hennie De, et al.. (2010). Discrete function theory based on skew Weyl relations. Proceedings of the American Mathematical Society. 138(9). 3241–3256. 20 indexed citations

10.

Peña, Dixan Peña & Frank Sommen. (2009). Fueter's theorem: The saga continues. Journal of Mathematical Analysis and Applications. 365(1). 29–35. 9 indexed citations

11.

Peña, Dixan Peña & Frank Sommen. (2009). A Note on the Fueter Theorem. Advances in Applied Clifford Algebras. 20(2). 379–391. 7 indexed citations

12.

Blaya, Ricardo Abreu, Juan Bory Reyes, Dixan Peña Peña, & Frank Sommen. (2009). A Holomorphic Extension Theorem using Clifford Analysis. Complex Analysis and Operator Theory. 5(1). 113–130.

13.

Blaya, Ricardo Abreu, Juan Bory Reyes, Dixan Peña Peña, & Frank Sommen. (2009). CRITERIA FOR MONOGENICITY OF CLIFFORD-ALGEBRA-VALUED FUNCTIONS. Ghent University Academic Bibliography (Ghent University). 167–174. 1 indexed citations

14.

Blaya, Ricardo Abreu, Juan Bory Reyes, Dixan Peña Peña, & Frank Sommen. (2008). A boundary value problem for Hermitian monogenic functions.. Boundary Value Problems. 2008(1). 385874. 12 indexed citations

15.

Blaya, Ricardo Abreu, Juan Bory Reyes, Richard Delanghe, & Frank Sommen. (2008). Generalized Moisil‐Théodoresco Systems and Cauchy Integral Decompositions. International Journal of Mathematics and Mathematical Sciences. 2008(1). 8 indexed citations

16.

Blaya, Ricardo Abreu, Juan Bory Reyes, Richard Delanghe, & Frank Sommen. (2007). Duality for Harmonic Differential Forms Via Clifford Analysis. Advances in Applied Clifford Algebras. 17(4). 589–610. 5 indexed citations

17.

Brackx, Fred, Nele De Schepper, & Frank Sommen. (2006). The Two-Dimensional Clifford-Fourier Transform. Journal of Mathematical Imaging and Vision. 26(1-2). 5–18. 42 indexed citations

18.

Blaya, Ricardo Abreu, Juan Bory Reyes, Richard Delanghe, & Frank Sommen. (2004). Harmonic multivector fields and the Cauchy integral decomposition in Clifford analysis. Bulletin of the Belgian Mathematical Society - Simon Stevin. 11(1). 17 indexed citations

19.

Eelbode, David & Frank Sommen. (2004). The photogenic Cauchy transform. Journal of Geometry and Physics. 54(3). 339–354. 2 indexed citations

20.

Sommen, Frank, et al.. (1998). The general quadratic Radon transform. Inverse Problems. 14(3). 615–633. 11 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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