Arne Jensen

3.3k total citations
76 papers, 1.9k citations indexed

About

Arne Jensen is a scholar working on Mathematical Physics, Computational Theory and Mathematics and Statistical and Nonlinear Physics. According to data from OpenAlex, Arne Jensen has authored 76 papers receiving a total of 1.9k indexed citations (citations by other indexed papers that have themselves been cited), including 48 papers in Mathematical Physics, 20 papers in Computational Theory and Mathematics and 14 papers in Statistical and Nonlinear Physics. Recurrent topics in Arne Jensen's work include Spectral Theory in Mathematical Physics (45 papers), Numerical methods in inverse problems (26 papers) and Advanced Mathematical Physics Problems (14 papers). Arne Jensen is often cited by papers focused on Spectral Theory in Mathematical Physics (45 papers), Numerical methods in inverse problems (26 papers) and Advanced Mathematical Physics Problems (14 papers). Arne Jensen collaborates with scholars based in Denmark, Japan and Romania. Arne Jensen's co-authors include Tosio Kato, Anders la Cour‐Harbo, G. Nenciu, E. Mourre, Peter Perry, Kenji Yajima, A. Boggess, Mladen Victor Wickerhauser, Francis J. Narcowich and Erik Brockmeyer and has published in prestigious journals such as Journal of the American Statistical Association, Communications in Mathematical Physics and Journal of Mathematical Analysis and Applications.

In The Last Decade

Arne Jensen

72 papers receiving 1.7k citations

Peers

Arne Jensen

SNP

CTM

AMPO

Mark A. Pinsky United States

David Applebaum United Kingdom

Moshe Zakai Israel

E. B. Dynkin United States

Andrzej Lasota Poland

S. M. Gusein‐Zade Russia

Gustav Doetsch Germany

Christian Berg Denmark

Michiel Hazewinkel Netherlands

Chandler Davis Canada

Mark A. Pinsky United States

Arne Jensen

536 ×0.5

251 ×0.6

SNP

285 ×1.0

CTM

96 ×0.3

AMPO

477 ×2.1

Citations per year, relative to Arne Jensen Arne Jensen (= 1×) peers Mark A. Pinsky

Countries citing papers authored by Arne Jensen

Since Specialization

Citations

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

Fields of papers citing papers by Arne Jensen

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Arne Jensen

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

Jensen, Arne & Hynek Kovařík. (2024). Resolvent expansions of 3D magnetic Schrödinger operators and Pauli operators. Journal of Mathematical Physics. 65(7).

Cornean, Horia D., et al.. (2023). Discrete approximations to Dirichlet and Neumann Laplacians on a half-space and norm resolvent convergence. Studia Mathematica. 271(2). 225–236. 3 indexed citations

Jensen, Arne, et al.. (2018). Resolvent expansion for the Schrödinger operator on a graph with infinite rays. Journal of Mathematical Analysis and Applications. 464(1). 616–661. 1 indexed citations

Jensen, Arne. (2012). A short remark on the theory of random sampling and the theory of variance. Scandinavian Actuarial Journal.

Jensen, Arne & Shu Nakamura. (1995). Lp-mapping properties of functions of Schrödinger operators and their applications to scattering theory. Journal of the Mathematical Society of Japan. 47(2). 22 indexed citations

Jensen, Arne, et al.. (1993). SVENSK JÄRNVÄGSPOLITIK - En kritisk granskning. Chalmers Publication Library (Chalmers University of Technology). 1 indexed citations

Bruzelius, Nils, et al.. (1993). Swedish railway policy - a critical study. Chalmers Research (Chalmers University of Technology). 5 indexed citations

Jensen, Arne & Tohru Ozawa. (1991). Classical and quantum scattering for Stark Hamiltonians with slowly decaying potentials. VBN Forskningsportal (Aalborg Universitet). 54(3). 229–243. 5 indexed citations

Jensen, Arne. (1989). High Energy Resolvent Estimates for Generalized Many-Body Schrödinger Operators. Publications of the Research Institute for Mathematical Sciences. 25(1). 155–167. 16 indexed citations

10.

Jensen, Arne. (1989). Precise Resolvent Estimates for Stark Effect Hamiltonians. 163–167. 2 indexed citations

11.

Jensen, Arne & Hitoshi Kitada. (1988). Fundamental solutions and eigenfunction expansions for Schr�dinger operators. II. Eigenfunction expansions. Mathematische Zeitschrift. 199(1). 1–13. 10 indexed citations

12.

Jensen, Arne. (1987). Scattering theory for hamiltonians with Stark effect. French digital mathematics library (Numdam). 46(4). 383–395. 5 indexed citations

13.

Jensen, Arne. (1986). Asymptotic completeness for a new class of Stark effect Hamiltonians. Communications in Mathematical Physics. 107(1). 21–28. 9 indexed citations

14.

Jensen, Arne, E. Mourre, & Peter Perry. (1984). Multiple commutator estimates and resolvent smoothness in quantum scattering theory. French digital mathematics library (Numdam). 41(2). 207–225. 103 indexed citations

15.

Jensen, Arne. (1984). Spectral properties of Schrödinger operators and time-decay of the wave functions. Results in L2(R4). Journal of Mathematical Analysis and Applications. 101(2). 397–422. 60 indexed citations

16.

Jensen, Arne. (1980). Resonances in an abstract analytic scattering theory. French digital mathematics library (Numdam). 33(2). 209–223. 11 indexed citations

17.

Jensen, Arne & Tosio Kato. (1979). Spectral properties of Schrödinger operators and time-decay of the wave functions. Duke Mathematical Journal. 46(3). 322 indexed citations

18.

Jensen, Arne. (1978). Local decay in time of solutions to Schr�dinger's equation with a dilation-analytic interaction. manuscripta mathematica. 25(1). 61–77. 13 indexed citations

19.

Jensen, Arne. (1977). Local distortion technique, resonances, and poles of the S-matrix. Journal of Mathematical Analysis and Applications. 59(3). 505–513. 18 indexed citations

20.

Foster, F. G. & Arne Jensen. (1956). A Distribution Model Applicable to Economics.. Economica. 23(89). 89–89. 1 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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