Hellmut Baumgärtel

1.1k total citations
53 papers, 618 citations indexed

About

Hellmut Baumgärtel is a scholar working on Mathematical Physics, Statistical and Nonlinear Physics and Algebra and Number Theory. According to data from OpenAlex, Hellmut Baumgärtel has authored 53 papers receiving a total of 618 indexed citations (citations by other indexed papers that have themselves been cited), including 29 papers in Mathematical Physics, 13 papers in Statistical and Nonlinear Physics and 11 papers in Algebra and Number Theory. Recurrent topics in Hellmut Baumgärtel's work include Spectral Theory in Mathematical Physics (18 papers), Quantum chaos and dynamical systems (12 papers) and Advanced Topics in Algebra (11 papers). Hellmut Baumgärtel is often cited by papers focused on Spectral Theory in Mathematical Physics (18 papers), Quantum chaos and dynamical systems (12 papers) and Advanced Topics in Algebra (11 papers). Hellmut Baumgärtel collaborates with scholars based in Germany and Egypt. Hellmut Baumgärtel's co-authors include Fernando Lledó, Michael Demuth, Hagen Neidhardt and Joachim Rehberg and has published in prestigious journals such as Communications in Mathematical Physics, Journal of Mathematical Physics and Journal of Functional Analysis.

In The Last Decade

Hellmut Baumgärtel

47 papers receiving 520 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Hellmut Baumgärtel Germany 12 278 192 186 178 167 53 618
Frédéric Hélein France 13 343 1.2× 290 1.5× 97 0.5× 205 1.2× 605 3.6× 26 1.1k
V. M. Adamyan Ukraine 11 128 0.5× 99 0.5× 117 0.6× 78 0.4× 136 0.8× 37 408
Peter Perry United States 19 877 3.2× 229 1.2× 146 0.8× 377 2.1× 339 2.0× 60 1.1k
Zhengfang Zhou United States 12 213 0.8× 82 0.4× 139 0.7× 67 0.4× 202 1.2× 55 591
Christiane Tretter Switzerland 17 665 2.4× 546 2.8× 154 0.8× 188 1.1× 347 2.1× 71 950
Teruo Ikebe Japan 11 542 1.9× 250 1.3× 128 0.7× 137 0.8× 131 0.8× 21 652
V. E. Shatalov Russia 11 197 0.7× 78 0.4× 75 0.4× 64 0.4× 174 1.0× 36 422
M. V. Fedoryuk Russia 10 122 0.4× 52 0.3× 112 0.6× 104 0.6× 114 0.7× 28 375
B. Yu. Sternin Russia 11 334 1.2× 86 0.4× 82 0.4× 69 0.4× 261 1.6× 79 549
Rolf Nevanlinna Finland 8 209 0.8× 107 0.6× 43 0.2× 67 0.4× 578 3.5× 18 971

Countries citing papers authored by Hellmut Baumgärtel

Since Specialization
Citations

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

Fields of papers citing papers by Hellmut Baumgärtel

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Hellmut Baumgärtel

This figure shows the co-authorship network connecting the top 25 collaborators of Hellmut Baumgärtel. A scholar is included among the top collaborators of Hellmut Baumgärtel 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 Hellmut Baumgärtel. Hellmut Baumgärtel is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Baumgärtel, Hellmut. (2003). Introduction to Hardy Spaces. International Journal of Theoretical Physics. 42(10). 2213–2223. 1 indexed citations
2.
Baumgärtel, Hellmut. (2003). Resonances and Virtual Poles in Scattering Theory. International Journal of Theoretical Physics. 42(10). 2379–2388. 2 indexed citations
3.
Baumgärtel, Hellmut, et al.. (1995). On free nets over Minkowski space. Reports on Mathematical Physics. 35(1). 101–127. 5 indexed citations
4.
Baumgärtel, Hellmut, et al.. (1986). Weak asymptotic Abelianess with respect to space-like directions for a class of non-trivial weakly local massive Wightman fields. Reports on Mathematical Physics. 23(1). 109–114.
5.
Baumgärtel, Hellmut. (1985). Colton, D. / Kress, R., Integral Equation Methods in Scattering Theory. New York et al., John Wiley & Sons 1983. XII, 271 S., £ 35.75. ISBN 0 471 86420‐X. ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik. 65(1). 12–12.
6.
Baumgärtel, Hellmut. (1984). On the structure of relative identification operators for quantum fields and their connection with the Haag-Ruelle scattering theory. French digital mathematics library (Numdam). 40(3). 225–233. 1 indexed citations
7.
Baumgärtel, Hellmut, Hagen Neidhardt, & Joachim Rehberg. (1984). On Identification Operators between Free and Interacting Quantum Fields. Mathematische Nachrichten. 116(1). 75–88. 3 indexed citations
8.
Baumgärtel, Hellmut, et al.. (1984). A class of nontrivial weakly local massive wightman fields with interpolating properties. Communications in Mathematical Physics. 94(3). 331–352. 6 indexed citations
9.
Baumgärtel, Hellmut, et al.. (1984). Interpolating Asymptotic Constants for the Poincaré Group, in Particular on Fock Space. Mathematische Nachrichten. 119(1). 15–40. 3 indexed citations
10.
Baumgärtel, Hellmut. (1983). Mathematical Scattering Theory. 10 indexed citations
11.
Baumgärtel, Hellmut. (1979). Thirring, W., Lehrbuch der Mathematischen Physik, Band 1: Klassische Dynamische Systeme. Wien‐New York. Springer‐Verlag. 1977. XIII, 255 S., 58 Abb., S 250.—. DM 36.—. US $15.90. ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik. 59(9). 490–490. 8 indexed citations
12.
Baumgärtel, Hellmut & Michael Demuth. (1979). Decoupling by a projection. Reports on Mathematical Physics. 15(2). 173–186. 15 indexed citations
13.
Baumgärtel, Hellmut. (1978). Kowalsky, H. ‐J., Vektoranalysis 1. 1974. 311 S., DM 28,–, Vektornanalysis 11. 1976. 251 S., DM 36,–. Berlin‐New York. Walter de Gruyter. (de Gruyter Lehrbuch). ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik. 58(8). 360–360. 3 indexed citations
14.
Baumgärtel, Hellmut & Michael Demuth. (1976). Perturbation of unstable eigenvalues of finite multiplicity. Journal of Functional Analysis. 22(3). 187–203. 4 indexed citations
15.
Baumgärtel, Hellmut. (1976). Resonanzen und GELFANDsche Raumtripel. Mathematische Nachrichten. 72(1). 93–98. 3 indexed citations
16.
Baumgärtel, Hellmut. (1976). Resonances of Perturbed Selfadjoint Operators and their Eigenfunctionals. Mathematische Nachrichten. 75(1). 133–151. 21 indexed citations
17.
Baumgärtel, Hellmut. (1975). Partial resolvent and spectral concentration. Mathematische Nachrichten. 69(1). 107–121. 11 indexed citations
18.
Baumgärtel, Hellmut. (1974). Nichtanalytische Störungen kompakter Operatoren. Mathematische Nachrichten. 59(1-6). 275–278. 3 indexed citations
19.
Baumgärtel, Hellmut. (1973). Zu einem Problem von M. G. KREIN. Mathematische Nachrichten. 58(1-6). 279–294. 9 indexed citations
20.
Baumgärtel, Hellmut. (1972). Endlichdimensionale analytische Störungstheorie. 35 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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