Bent Ørsted

2.1k citations

91 papers · 1.1k indexed · h-index 20

Impact in

Mathematical Physics top 1%
- Advanced Algebra and Geometry
- Spectral Theory in Mathematical Physics
Applied Mathematics top 1%
- Mathematical Analysis and Transform Methods
- Geometric Analysis and Curvature Flows
- Holomorphic and Operator Theory

Papers in ⓘ

Mathematical Physics 62
- Advanced Algebra and Geometry 48
Applied Mathematics 50
- Holomorphic and Operator Theory 14
- Mathematical Analysis and Transform Methods 14
- Geometric Analysis and Curvature Flows 13

Co-authors: Thomas Branson (10 shared papers)Toshiyuki Kobayashi (10 shared papers)Salem Ben Saïd (8 shared papers)Gestur Ólafsson (6 shared papers)Genkai Zhang (9 shared papers)Vladimı́r Souček (3 shared papers)Jean-Louis Clerc (1 shared paper)Karl‐Hermann Neeb (5 shared papers)
Journals: Journal of Functional Analysis (16 papers)Transactions of the American Mathematical Society (5 papers)Proceedings of the American Mathematical Society (5 papers)Advances in Mathematics (5 papers)International Mathematics Research Notices (4 papers)
Partner nations: Denmark United States Japan

In The Last Decade

Bent Ørsted

84 papers receiving 971 citations

Peers

Countries citing papers authored by Bent Ørsted

Since Specialization

Citations

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

Fields of papers citing papers by Bent Ørsted

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authors

The 25 scholars most cited alongside Bent Ørsted, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.

Border = papers with Bent Ørsted Line = papers co-authored together Bent Ørsted links everyone, so they are left out of the graph.

All Works

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20 of 20 papers shown

Showing the 20 most-cited of 91 papers — load more, or switch the sort, to bring in the rest.

#	Work
1	Explicit functional determinants in four dimensions Proceedings of the American Mathematical Society ·Thomas Branson, Bent Ørsted	1991	105
2	Laguerre semigroup and Dunkl operators Salem Ben Saïd, Toshiyuki Kobayashi, Bent Ørsted	2016	67
3	Analysis on the minimal representation of O(p,q) Advances in Mathematics ·Toshiyuki Kobayashi, Bent Ørsted	2003	48
4	Dunkl operators and a family of realizations of $\mathfrak{osp}(1\vert2)$ Transactions of the American Mathematical Society ·Hendrik De Bie, Bent Ørsted, Petr Somberg, Vladimı́r Souček	2012	40
5	Explicit Functional Determinants in Four Dimensions Proceedings of the American Mathematical Society ·Thomas Branson, Bent Ørsted	1991	37
6	Spectrum Generating Operators and Intertwining Operators for Representations Induced from a Maximal Parabolic Subgroup Journal of Functional Analysis ·Thomas Branson, Gestur Ólafsson, Bent Ørsted	1996	37
7	Analysis on the minimal representation of O(p,q) II. Branching laws Advances in Mathematics ·Toshiyuki Kobayashi, Bent Ørsted	2003	35
8	The holomorphic discrete series for affine symmetric spaces, I Journal of Functional Analysis ·Gestur Ólafsson, Bent Ørsted	1988	33
9	The Gromov norm of the Kaehler class and the Maslov index Asian Journal of Mathematics ·Jean-Louis Clerc, Bent Ørsted	2003	30
10	Conformally invariant differential equations and projective geometry Journal of Functional Analysis ·Bent Ørsted	1981	28
11	Conformal geometry and global invariants Differential Geometry and its Applications ·Thomas Branson, Bent Ørsted	1991	27
12	Conformal indices of riemannian manifolds Compositio Mathematica ·Thomas Branson, Bent Ørsted	1986	24
13	Covariant chronogeometry and extreme distances: Elementary particles Proceedings of the National Academy of Sciences ·I. E. Segal, Hans Plesner Jakobsen, Bent Ørsted, Stephen M. Paneitz, Birgit Speh	1981	23
14	Segal-Bargmann transforms associated with finite Coxeter groups Mathematische Annalen ·Salem Ben Saïd, Bent Ørsted	2005	23
15	Induced representations and a new proof of the imprimitivity theorem Journal of Functional Analysis ·Bent Ørsted	1979	22
16	The conformal invariance of Huygens' principle Journal of Differential Geometry ·Bent Ørsted	1981	20
17	Branching laws for Verma modules and applications in parabolic geometry. I Advances in Mathematics ·Toshiyuki Kobayashi, Bent Ørsted, Petr Somberg, Vladimı́r Souček	2015	19
18	Generalized Fourier transforms F k , a Comptes Rendus Mathématique ·Salem Ben Saïd, Toshiyuki Kobayashi, Bent Ørsted	2009	19
19	What is Q-Curvature? Acta Applicandae Mathematicae ·Sun Chang, Michael Eastwood, Bent Ørsted, Paul Yang	2008	19
20	Tensor Products of Analytic Continuations of Holomorphic Discrete Series Canadian Journal of Mathematics ·Bent Ørsted, Genkai Zhang	1997	19

About Bent Ørsted

Bent Ørsted is a scholar working on Mathematical Physics, Applied Mathematics, Geometry and Topology, Algebra and Number Theory and Statistical and Nonlinear Physics, having authored 91 papers that have together received 1.1k indexed citations. Recurring topics across this work include Advanced Algebra and Geometry (48 papers), Advanced Topics in Algebra (19 papers), Geometry and complex manifolds (15 papers), Holomorphic and Operator Theory (14 papers), Mathematical Analysis and Transform Methods (14 papers), Geometric Analysis and Curvature Flows (13 papers), Algebraic structures and combinatorial models (11 papers) and Nonlinear Waves and Solitons (11 papers). The work is most often cited by research in Mathematical Physics (638 citations), Applied Mathematics (661 citations), Geometry and Topology (394 citations), Algebra and Number Theory (186 citations) and Discrete Mathematics and Combinatorics (48 citations). Bent Ørsted has collaborated with scholars based in Denmark, United States and Japan. Frequent co-authors include Thomas Branson, Toshiyuki Kobayashi, Salem Ben Saïd, Gestur Ólafsson, Genkai Zhang, Vladimı́r Souček, Jean-Louis Clerc, Karl‐Hermann Neeb, Hendrik De Bie and A. Rod Gover. Their work appears in journals such as Journal of Functional Analysis, Transactions of the American Mathematical Society, Proceedings of the American Mathematical Society, Advances in Mathematics and International Mathematics Research Notices.

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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