Michael Frank
Impact in
- Statistics and Probability top 1%
- Statistical Distribution Estimation and Applications
- Statistical Methods and Inference
- Fuzzy Systems and Optimization
-
- Multi-Criteria Decision Making
Papers in
-
- Advanced Operator Algebra Research 27
- Advanced Banach Space Theory 11
- Spectral Theory in Mathematical Physics 7
-
- Holomorphic and Operator Theory 19
- Mathematical Analysis and Transform Methods 4
- Co-authors
- B. Schweizer (2 shared papers)Roger B. Nelsen (1 shared paper)C. Alsina (1 shared paper)Hans‐Stefan Bauer (1 shared paper)Olaf Kolditz (1 shared paper)Volker Wulfmeyer (1 shared paper)Karsten Rink (1 shared paper)Vern I. Paulsen (2 shared papers)
- Journals
- Zeitschrift für Analysis und ihre Anwendungen (6 papers)Aequationes Mathematicae (6 papers)Mathematische Nachrichten (3 papers)Marine Ecology Progress Series (2 papers)Journal of Operator Theory (2 papers)
- Partner nations
- GermanyUnited StatesRussia
In The Last Decade
Michael Frank
46 papers receiving 1.3k citations
Michael Frank's Hit Papers
Peers
Comparison fields: 5 of 121
- Statistics and Probability 344
- Management Science and Operations Research 422
- Finance 261
- Mathematical Physics 200
- Algebra and Number Theory 97
Countries citing papers authored by Michael Frank
This map shows the geographic impact of Michael Frank'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 Michael Frank with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Michael Frank more than expected).
Fields of papers citing papers by Michael Frank
This network shows the impact of papers produced by Michael Frank. 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 Michael Frank. The network helps show where Michael Frank may publish in the future.
Co-authors
The 25 scholars most cited alongside Michael Frank, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.
All Works
Showing the 20 most-cited of 50 papers — load more, or switch the sort, to bring in the rest.
| # | Work | ||
|---|---|---|---|
| 1 | On the simultaneous associativity ofF(x, y) andx+y−F(x, y) Hit paper breakdown → | 1979 | 768 |
| 2 | 1987 | 101 | |
| 3 | 2014 | 74 | |
| 4 | 1978 | 62 | |
| 5 | 2003 | 53 | |
| 6 | 1971 | 38 | |
| 7 | 1990 | 31 | |
| 8 | 1999 | 28 | |
| 9 | 2007 | 24 | |
| 10 | 1983 | 21 | |
| 11 | 2008 | 20 | |
| 12 | 2001 | 17 | |
| 13 | 2008 | 13 | |
| 14 | 1975 | 13 | |
| 15 | 1995 | 11 | |
| 16 | 1974 | 11 | |
| 17 | 1997 | 10 | |
| 18 | 2016 | 9 | |
| 19 | 2015 | 8 | |
| 20 | 2015 | 8 |
About Michael Frank
Michael Frank is a scholar working on Mathematical Physics, Applied Mathematics, Algebra and Number Theory, Computational Theory and Mathematics and Computer Networks and Communications, having authored 50 papers that have together received 1.4k indexed citations. Recurring topics across this work include Advanced Operator Algebra Research (27 papers), Holomorphic and Operator Theory (19 papers), Advanced Banach Space Theory (11 papers), Advanced Topics in Algebra (11 papers), Spectral Theory in Mathematical Physics (7 papers), Mathematical Analysis and Transform Methods (4 papers), Matrix Theory and Algorithms (3 papers) and Quantum Mechanics and Applications (2 papers). The work is most often cited by research in Statistics and Probability (344 citations), Management Science and Operations Research (422 citations), Finance (261 citations), Mathematical Physics (200 citations) and Algebra and Number Theory (97 citations). Michael Frank has collaborated with scholars based in Germany, United States and Russia. Frequent co-authors include B. Schweizer, Roger B. Nelsen, C. Alsina, Hans‐Stefan Bauer, Olaf Kolditz, Volker Wulfmeyer, Karsten Rink, Vern I. Paulsen, Rutger Rosenberg and Earl Davey. Their work appears in journals such as Zeitschrift für Analysis und ihre Anwendungen, Aequationes Mathematicae, Mathematische Nachrichten, Marine Ecology Progress Series and Journal of Operator Theory.
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.