Hendrik De Bie

1.1k total citations
55 papers, 517 citations indexed

About

Hendrik De Bie is a scholar working on Applied Mathematics, Atomic and Molecular Physics, and Optics and Mathematical Physics. According to data from OpenAlex, Hendrik De Bie has authored 55 papers receiving a total of 517 indexed citations (citations by other indexed papers that have themselves been cited), including 43 papers in Applied Mathematics, 12 papers in Atomic and Molecular Physics, and Optics and 10 papers in Mathematical Physics. Recurrent topics in Hendrik De Bie's work include Mathematical Analysis and Transform Methods (38 papers), Algebraic and Geometric Analysis (34 papers) and Quantum Mechanics and Non-Hermitian Physics (12 papers). Hendrik De Bie is often cited by papers focused on Mathematical Analysis and Transform Methods (38 papers), Algebraic and Geometric Analysis (34 papers) and Quantum Mechanics and Non-Hermitian Physics (12 papers). Hendrik De Bie collaborates with scholars based in Belgium, United States and Canada. Hendrik De Bie's co-authors include F. Sommen, Nele De Schepper, Vincent X. Genest, Luc Vinet, Frank Sommen, Denis Constales, Yuan Xu, Vladimı́r Souček, Bent Ørsted and David Eelbode and has published in prestigious journals such as Communications in Mathematical Physics, Physics Letters A and Journal of Mathematical Analysis and Applications.

In The Last Decade

Hendrik De Bie

52 papers receiving 502 citations

Peers

Hendrik De Bie

SNP

AMPO

K.H. Kwon South Korea

Marcel de Jeu Netherlands

Rafał Abłamowicz United States

Pokman Cheung United Kingdom

Margit Rösler Germany

Fred Brackx Belgium

I. L. Kantor Sweden

E. Godoy Spain

M. Elena Luna‐Elizarrarás Mexico

Richard Delanghe Belgium

K.H. Kwon South Korea

Hendrik De Bie

660 ×1.7

190 ×1.7

SNP

63 ×0.8

162 ×2.0

177 ×2.2

AMPO

Citations per year, relative to Hendrik De Bie Hendrik De Bie (= 1×) peers K.H. Kwon

Countries citing papers authored by Hendrik De Bie

Since Specialization

Citations

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

Fields of papers citing papers by Hendrik De Bie

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Hendrik De Bie. 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 Hendrik De Bie. The network helps show where Hendrik De Bie may publish in the future.

Co-authorship network of co-authors of Hendrik De Bie

This figure shows the co-authorship network connecting the top 25 collaborators of Hendrik De Bie. A scholar is included among the top collaborators of Hendrik De Bie 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 Hendrik De Bie. Hendrik De Bie 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

Bie, Hendrik De, et al.. (2024). Fourier Kernels Associated with the Clifford–Helmholtz System. Complex Analysis and Operator Theory. 18(2).

Bie, Hendrik De, et al.. (2023). GENERALISED SYMMETRIES AND BASES FOR DUNKL MONOGENICS. Rocky Mountain Journal of Mathematics. 53(2). 1 indexed citations

Bie, Hendrik De, et al.. (2021). Dunkl intertwining operator for symmetric groups. Proceedings of the American Mathematical Society. 149(11). 4871–4880. 2 indexed citations

Bie, Hendrik De, et al.. (2021). Representations of the Lie Superalgebra osp(1|2n) with Polynomial Bases. Symmetry Integrability and Geometry Methods and Applications. 1 indexed citations

Bie, Hendrik De, et al.. (2020). A Fock Model and the Segal-Bargmann Transform for the Minimal Representation of the Orthosymplectic Lie Superalgebra osp(m,2|2n). Symmetry Integrability and Geometry Methods and Applications. 1 indexed citations

Pižurica, Aleksandra, et al.. (2018). Hypercomplex algebras for dictionary learning. Ghent University Academic Bibliography (Ghent University). 57–64. 4 indexed citations

Bie, Hendrik De, et al.. (2017). A Dirac equation on the two-sphere: the $\mathrm{S}_3$ Dirac-Dunkl operator symmetry algebra. arXiv (Cornell University). 1 indexed citations

Bie, Hendrik De, et al.. (2017). Plane wave formulas for spherical, complex and symplectic harmonics. Journal of Approximation Theory. 222. 110–131.

Constales, Denis, et al.. (2017). Explicit formulas for the Dunkl dihedral kernel and the (κ,a)-generalized Fourier kernel. Journal of Mathematical Analysis and Applications. 460(2). 900–926. 35 indexed citations

10.

Bie, Hendrik De, et al.. (2017). A superintegrable model with reflections onSⁿ⁻¹and the higher rank Bannai–Ito algebra. Journal of Physics A Mathematical and Theoretical. 50(19). 195202–195202. 7 indexed citations

11.

Bie, Hendrik De, Vincent X. Genest, & Luc Vinet. (2016). The Z 2 n Dirac–Dunkl operator and a higher rank Bannai–Ito algebra. Advances in Mathematics. 303. 390–414. 15 indexed citations

12.

Bie, Hendrik De, Vincent X. Genest, & Luc Vinet. (2016). A Dirac–Dunkl Equation on S 2 and the Bannai–Ito Algebra. Communications in Mathematical Physics. 344(2). 447–464. 20 indexed citations

13.

Bie, Hendrik De, et al.. (2016). A SUPERINTEGRABLE MODEL WITH REFLECTIONS ON S^3 AND THE RANK TWO BANNAI-ITO ALGEBRA. Acta Polytechnica. 56(3). 166–166. 7 indexed citations

14.

Bie, Hendrik De, et al.. (2013). The metaplectic Howe duality and polynomial solutions for the symplectic Dirac operator. Journal of Geometry and Physics. 75. 120–128. 4 indexed citations

15.

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

16.

Bie, Hendrik De. (2013). The Clifford Deformation of the Hermite Semigroup. Symmetry Integrability and Geometry Methods and Applications. 8 indexed citations

17.

Bie, Hendrik De. (2013). The kernel of the radially deformed Fourier transform. Integral Transforms and Special Functions. 24(12). 1000–1008. 14 indexed citations

18.

Bie, Hendrik De, et al.. (2011). Discrete Clifford analysis: the one-dimensional setting. Complex Variables and Elliptic Equations. 57(7-8). 903–920. 4 indexed citations

19.

Bie, Hendrik De. (2008). Fourier transform and related integral transforms in superspace. Journal of Mathematical Analysis and Applications. 345(1). 147–164. 12 indexed citations

20.

Bie, Hendrik De & F. Sommen. (2007). Fundamental solutions for the super Laplace and Dirac operators and all their natural powers. Journal of Mathematical Analysis and Applications. 338(2). 1320–1328. 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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