Bernd Silbermann

5.5k total citations · 1 hit paper
140 papers, 2.9k citations indexed

About

Bernd Silbermann is a scholar working on Applied Mathematics, Computational Theory and Mathematics and Mathematical Physics. According to data from OpenAlex, Bernd Silbermann has authored 140 papers receiving a total of 2.9k indexed citations (citations by other indexed papers that have themselves been cited), including 92 papers in Applied Mathematics, 65 papers in Computational Theory and Mathematics and 61 papers in Mathematical Physics. Recurrent topics in Bernd Silbermann's work include Holomorphic and Operator Theory (56 papers), Matrix Theory and Algorithms (53 papers) and Algebraic and Geometric Analysis (35 papers). Bernd Silbermann is often cited by papers focused on Holomorphic and Operator Theory (56 papers), Matrix Theory and Algorithms (53 papers) and Algebraic and Geometric Analysis (35 papers). Bernd Silbermann collaborates with scholars based in Germany, Netherlands and United States. Bernd Silbermann's co-authors include Albrecht Böttcher, Steffen Roch, Siegfried Prößdorf, Vladimir Rabinovich, Torsten Ehrhardt, Peter Junghanns, Pedro A. Santos, Harm Bart, Alexei Yu. Karlovich and W Hoppe and has published in prestigious journals such as SIAM Journal on Numerical Analysis, Journal of Mathematical Analysis and Applications and Numerische Mathematik.

In The Last Decade

Bernd Silbermann

124 papers receiving 2.5k citations

Hit Papers

Analysis of Toeplitz Operators 1990 2026 2002 2014 1990 100 200 300 400
What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

  1. Analysis of Toeplitz Operators
    1990 425 citations Albrecht Böttcher, Bernd Silbermann profile →

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Bernd Silbermann Germany 25 1.8k 1.3k 956 398 354 140 2.9k
Albrecht Böttcher Germany 24 1.7k 0.9× 1.3k 1.0× 1.2k 1.3× 381 1.0× 467 1.3× 145 3.1k
M. A. Kaashoek Netherlands 28 1.2k 0.7× 1.2k 0.9× 1.5k 1.6× 328 0.8× 97 0.3× 163 3.3k
Paul Nevai United States 30 2.4k 1.3× 541 0.4× 612 0.6× 356 0.9× 342 1.0× 101 2.9k
Seymour Goldberg United States 17 1.1k 0.6× 1.1k 0.8× 807 0.8× 237 0.6× 275 0.8× 43 2.3k
Daniel Alpay Israel 22 1.8k 1.0× 776 0.6× 584 0.6× 328 0.8× 106 0.3× 270 2.4k
Mihai Putinar United States 24 1.4k 0.8× 928 0.7× 878 0.9× 578 1.5× 84 0.2× 129 2.6k
Wolfgang Arendt Germany 29 3.4k 1.9× 2.7k 2.1× 2.1k 2.2× 184 0.5× 210 0.6× 119 5.2k
P. Túrán Hungary 21 1.2k 0.7× 470 0.4× 543 0.6× 573 1.4× 226 0.6× 77 2.7k
Jöran Bergh Sweden 8 2.4k 1.4× 2.0k 1.5× 595 0.6× 68 0.2× 234 0.7× 13 3.2k
Gerhard Schmeißer Germany 20 1.2k 0.7× 281 0.2× 427 0.4× 116 0.3× 211 0.6× 82 2.1k

Countries citing papers authored by Bernd Silbermann

Since Specialization
Citations

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

Fields of papers citing papers by Bernd Silbermann

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Bernd Silbermann

This figure shows the co-authorship network connecting the top 25 collaborators of Bernd Silbermann. A scholar is included among the top collaborators of Bernd Silbermann 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 Bernd Silbermann. Bernd Silbermann 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.
Bart, Harm, Torsten Ehrhardt, & Bernd Silbermann. (2015). Sums of idempotents and logarithmic residues in zero pattern matrix algebras. Linear Algebra and its Applications. 498. 262–316. 6 indexed citations
2.
Roch, Steffen & Bernd Silbermann. (2012). A handy formula for the Fredholm index of Toeplitz plus Hankel operators. Indagationes Mathematicae. 23(4). 663–689. 8 indexed citations
3.
Bart, Harm, Torsten Ehrhardt, & Bernd Silbermann. (2012). Logarithmic residues, Rouché’s theorem, and spectral regularity: The C∗-algebra case. Indagationes Mathematicae. 23(4). 816–847. 3 indexed citations
4.
Ehrhardt, Torsten, Steffen Roch, & Bernd Silbermann. (2010). A Strong Szegö–Widom Limit Theorem for operators with almost periodic diagonal. Journal of Functional Analysis. 260(1). 30–75.
5.
Böttcher, Albrecht, Bernd Silbermann, & Alexei Yu. Karlovich. (2006). Analysis of Toeplitz Operators (Springer Monographs in Mathematics). Springer eBooks. 63 indexed citations
6.
Böttcher, Albrecht, Israel Gohberg, Peter Junghanns, & Bernd Silbermann. (2002). Toeplitz matrices and singular integral equations : the Bernd Silbermann anniversary volume. CERN Document Server (European Organization for Nuclear Research). 3 indexed citations
7.
8.
Junghanns, Peter & Bernd Silbermann. (2000). Numerical analysis for one-dimensional Cauchy singular integral equations. Journal of Computational and Applied Mathematics. 125(1-2). 395–421. 11 indexed citations
9.
Roch, Steffen & Bernd Silbermann. (1999). Continuity of generalized inverses in Banach algebras. Studia Mathematica. 136(3). 197–227. 29 indexed citations
10.
Roch, Steffen, Pedro A. Santos, & Bernd Silbermann. (1997). Finite Section Method in some Algebras of Multiplication and Convolution Operators and a Flip. Zeitschrift für Analysis und ihre Anwendungen. 16(3). 575–606. 8 indexed citations
11.
Böttcher, Albrecht, Bernd Silbermann, & Harold Widom. (1994). A Continuous Analogue of the Fisher-Hartwig Formula for Piecewise Continuous Symbols. Journal of Functional Analysis. 122(1). 222–246. 7 indexed citations
12.
Roch, Steffen & Bernd Silbermann. (1989). A. Symbol Calculus for the Algebra Generated by Shift Operators. Zeitschrift für Analysis und ihre Anwendungen. 8(4). 293–306. 1 indexed citations
13.
Böttcher, Albrecht & Bernd Silbermann. (1989). Analysis of Toeplitz Operators. 95 indexed citations
14.
Roch, Steffen & Bernd Silbermann. (1988). A symbol calculus for finite sections of singular integral operators with shift and piecewise continuous coefficients. Journal of Functional Analysis. 78(2). 365–389. 7 indexed citations
15.
Friedrich, Volkmar, et al.. (1984). Probleme und Methoden der mathematischen Physik : 8. Tagung, Karl-Marx-Stadt, 20. bis 24. Juni 1983. 1 indexed citations
16.
Böttcher, Albrecht & Bernd Silbermann. (1983). Invertibility and Asymptotics of Toeplitz Matrices. 52 indexed citations
17.
Böttcher, Albrecht & Bernd Silbermann. (1982). Über das Reduktionsverfahren für diskrete Wiener-Hopf-Gleichungen mit unstetigem Symbol. Zeitschrift für Analysis und ihre Anwendungen. 1(2). 1–5. 7 indexed citations
18.
Silbermann, Bernd. (1982). Lokale Theorie des Reduktionsverfahrens für singuläre Integralgleichungen. Zeitschrift für Analysis und ihre Anwendungen. 1(6). 45–56. 9 indexed citations
19.
Elschner, Johannes & Bernd Silbermann. (1979). A class of degenerate ordinary differential equations and the collocation method for their solution. Czechoslovak Mathematical Journal. 29(4). 551–563. 2 indexed citations
20.
Prößdorf, Siegfried & Bernd Silbermann. (1977). Projektionsverfahren und die näherungsweise Lösung singulärer Gleichungen. 25 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.

Explore authors with similar magnitude of impact

Breakdown of academic impact, for papers by Albrecht Böttcher Breakdown of academic impact, for papers by M. A. Kaashoek Breakdown of academic impact, for papers by Paul Nevai Breakdown of academic impact, for papers by Seymour Goldberg Breakdown of academic impact, for papers by Daniel Alpay Breakdown of academic impact, for papers by Mihai Putinar Breakdown of academic impact, for papers by Wolfgang Arendt Breakdown of academic impact, for papers by P. Túrán Breakdown of academic impact, for papers by Jöran Bergh Breakdown of academic impact, for papers by Gerhard Schmeißer
Rankless by CCL
2026