Bernd Silbermann

5.5k citations
190 papers · 3.8k · 2 hit papers · h-index 27

Impact in

    • Holomorphic and Operator Theory
    • Algebraic and Geometric Analysis
    • Mathematical Analysis and Transform Methods
    • Differential Equations and Boundary Problems
    • Spectral Theory in Mathematical Physics
    • Advanced Operator Algebra Research

Papers in

    • Holomorphic and Operator Theory 75
    • Algebraic and Geometric Analysis 48
    • Differential Equations and Boundary Problems 20
    • Spectral Theory in Mathematical Physics 47
    • Advanced Operator Algebra Research 21
    • Advanced Banach Space Theory 16

Bernd Silbermann

162 papers receiving 3.3k citations

Bernd Silbermann's Hit Papers

Introduction to Large Truncated Toeplitz Matrices 1999 · 517 citations
5170+12+24Years since publication100200300400500

Peers

Bernd Silbermann
Comparison fields: 5 of 69
  • Applied Mathematics 2.3k
  • Mathematical Physics 1.8k
  • Algebra and Number Theory 520
  • Numerical Analysis 387
  • Computational Theory and Mathematics 1.2k
Replace Albrecht Böttcher with:
Albrecht Böttcher Germany
Seymour Goldberg United States
Paul Nevai United States
Daniel Alpay Israel
D. S. Lubinsky United States
M. A. Kaashoek Netherlands
Вилмос Тотик United States
T. W. Gamelin United States
C. J. K. Batty United Kingdom
Hari Bercovici United States
Bernd Silbermann relative to Albrecht Böttcher Germany Albrecht Böttcher's profile →
Citations per field
00.5×1.5×
Albrecht Böttcher · 1×
Citations per year

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-authors

The 25 scholars most cited alongside Bernd Silbermann, 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 Bernd Silbermann Line = papers co-authored together Bernd Silbermann links everyone, so they are left out of the graph.

All Works

20 of 20 papers shown

Showing the 20 most-cited of 190 papers — load more, or switch the sort, to bring in the rest.

#Work
1
Introduction to Large Truncated Toeplitz Matrices
Hit paper breakdown →
1999517
2
Analysis of Toeplitz Operators
Hit paper breakdown →
1990506
3
Numerical Analysis for Integral and Related Operator Equations
1991263
4 2006196
5 2004172
6 2000118
7 1989109
8 199589
9
Analysis of Toeplitz Operators (Springer Monographs in Mathematics)
200681
10 201074
11 199269
12 199867
13 198167
14 198359
15 201042
16 198142
17 198841
18 199339
19 200138
20 198538

About Bernd Silbermann

Bernd Silbermann is a scholar working on Applied Mathematics, Mathematical Physics, Computational Theory and Mathematics, Algebra and Number Theory and Numerical Analysis, having authored 190 papers that have together received 3.8k indexed citations. Recurring topics across this work include Holomorphic and Operator Theory (75 papers), Matrix Theory and Algorithms (66 papers), Algebraic and Geometric Analysis (48 papers), Spectral Theory in Mathematical Physics (47 papers), Advanced Topics in Algebra (36 papers), Advanced Operator Algebra Research (21 papers), Differential Equations and Boundary Problems (20 papers) and Advanced Banach Space Theory (16 papers). The work is most often cited by research in Applied Mathematics (2.3k citations), Mathematical Physics (1.8k citations), Algebra and Number Theory (520 citations), Numerical Analysis (387 citations) and Computational Theory and Mathematics (1.2k citations). Bernd Silbermann has collaborated with scholars based in Germany, Netherlands and United States. Frequent co-authors include Albrecht Böttcher, Steffen Roch, Siegfried Prößdorf, Vladimir Rabinovich, Torsten Ehrhardt, Harm Bart, Pedro A. Santos, Peter Junghanns, Alexei Yu. Karlovich and Yuri I. Karlovich. Their work appears in journals such as Mathematische Nachrichten, Integral Equations and Operator Theory, Linear Algebra and its Applications, Journal of Functional Analysis and Springer monographs in mathematics.

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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