Albrecht Böttcher

5.9k total citations · 1 hit paper
145 papers, 3.1k citations indexed

About

Albrecht Böttcher is a scholar working on Applied Mathematics, Computational Theory and Mathematics and Mathematical Physics. According to data from OpenAlex, Albrecht Böttcher has authored 145 papers receiving a total of 3.1k indexed citations (citations by other indexed papers that have themselves been cited), including 93 papers in Applied Mathematics, 81 papers in Computational Theory and Mathematics and 58 papers in Mathematical Physics. Recurrent topics in Albrecht Böttcher's work include Matrix Theory and Algorithms (76 papers), Holomorphic and Operator Theory (64 papers) and Spectral Theory in Mathematical Physics (33 papers). Albrecht Böttcher is often cited by papers focused on Matrix Theory and Algorithms (76 papers), Holomorphic and Operator Theory (64 papers) and Spectral Theory in Mathematical Physics (33 papers). Albrecht Böttcher collaborates with scholars based in Germany, United States and Mexico. Albrecht Böttcher's co-authors include Bernd Silbermann, Sergei M. Grudsky, Yuri I. Karlovich, Ilya M. Spitkovsky, Manuel Bogoya, Harold Widom, Alexei Yu. Karlovich, Ulrich Tautenhahn, Bernd Hofmann and Masahiro Yamamoto and has published in prestigious journals such as Mathematics of Computation, SIAM Journal on Numerical Analysis and Journal of Mathematical Analysis and Applications.

In The Last Decade

Albrecht Böttcher

133 papers receiving 2.8k 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
Albrecht Böttcher Germany 24 1.7k 1.3k 1.2k 467 381 145 3.1k
Bernd Silbermann Germany 25 1.8k 1.1× 1.3k 1.0× 956 0.8× 354 0.8× 398 1.0× 140 2.9k
Fumio Hiai Japan 28 1.4k 0.8× 871 0.7× 763 0.6× 862 1.8× 296 0.8× 105 3.1k
M. A. Kaashoek Netherlands 28 1.2k 0.7× 1.2k 0.9× 1.5k 1.2× 97 0.2× 328 0.9× 163 3.3k
Seymour Goldberg United States 17 1.1k 0.6× 1.1k 0.9× 807 0.7× 275 0.6× 237 0.6× 43 2.3k
Paul Nevai United States 30 2.4k 1.4× 541 0.4× 612 0.5× 342 0.7× 356 0.9× 101 2.9k
Stefano Serra‐Capizzano Italy 37 1.0k 0.6× 572 0.4× 2.5k 2.0× 214 0.5× 234 0.6× 252 4.0k
Peter Borwein Canada 28 1.6k 0.9× 615 0.5× 810 0.7× 203 0.4× 1.1k 2.8× 179 3.7k
Ralph S. Phillips United States 32 1.5k 0.9× 2.1k 1.7× 1.2k 1.0× 190 0.4× 470 1.2× 91 4.2k
Chi-Kwong Li United States 29 1.4k 0.8× 767 0.6× 2.4k 2.0× 136 0.3× 1.6k 4.2× 291 3.7k
T. Andô Japan 21 1.0k 0.6× 349 0.3× 974 0.8× 165 0.4× 261 0.7× 44 1.8k

Countries citing papers authored by Albrecht Böttcher

Since Specialization
Citations

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

Fields of papers citing papers by Albrecht Böttcher

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Albrecht Böttcher

This figure shows the co-authorship network connecting the top 25 collaborators of Albrecht Böttcher. A scholar is included among the top collaborators of Albrecht Böttcher 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 Albrecht Böttcher. Albrecht Böttcher 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.
Bogoya, Manuel, Albrecht Böttcher, & Sergei M. Grudsky. (2024). Eigenvalues of Toeplitz matrices emerging from finite differences for certain ordinary differential operators. Linear Algebra and its Applications. 706. 24–54.
2.
Basor, Estelle, Albrecht Böttcher, Torsten Ehrhardt, & Craig A. Tracy. (2022). Toeplitz Operators and Random Matrices. 1 indexed citations
3.
Böttcher, Albrecht, et al.. (2016). Lattices from equiangular tight frames. Linear Algebra and its Applications. 510. 395–420. 1 indexed citations
4.
Bogoya, Manuel, et al.. (2014). Eigenvalues of Hermitian Toeplitz matrices with smooth simple-loop symbols. Journal of Mathematical Analysis and Applications. 422(2). 1308–1334. 27 indexed citations
5.
Böttcher, Albrecht, Hermann Brunner, Arieh Iserles, & Syvert P. Nørsett. (2010). On the singular values and eigenvalues of the Fox–Li and related operators. Memorial University Research Repository (Memorial University). 16. 539–561. 9 indexed citations
6.
Böttcher, Albrecht, Bernd Silbermann, & Alexei Yu. Karlovich. (2006). Analysis of Toeplitz Operators (Springer Monographs in Mathematics). Springer eBooks. 63 indexed citations
7.
Böttcher, Albrecht. (2004). The Constants in the Asymptotic Formulas by Rambour and Seghier for Inverses of Toeplitz Matrices. Integral Equations and Operator Theory. 50(1). 43–55. 7 indexed citations
8.
Böttcher, Albrecht, et al.. (2003). Singular Integral Operators, Factorization and Applications. Birkhäuser Basel eBooks. 8 indexed citations
9.
Bini, Dario A. & Albrecht Böttcher. (2003). Polynomial factorization through Toeplitz matrix computations. Linear Algebra and its Applications. 366. 25–37. 8 indexed citations
10.
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
11.
Böttcher, Albrecht, et al.. (2002). Fejer means and norms of large Toeplitz matrices. 1–11. 2 indexed citations
12.
Böttcher, Albrecht & Israel Gohberg. (1996). Singular Integral Operators and Related Topics. Birkhäuser Basel eBooks. 7 indexed citations
13.
Böttcher, Albrecht, Aad Dijksma, Heinz Langer, et al.. (1995). Lectures on Operator Theory and Its Applications. American Mathematical Society eBooks. 33 indexed citations
14.
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
15.
Böttcher, Albrecht & Bernd Silbermann. (1989). Analysis of Toeplitz Operators. 95 indexed citations
16.
Böttcher, Albrecht. (1984). Fredholmness and finite section method for Toeplitz operators in $l^p (Z_+ \times Z_+)$ with piecewise continuous symbols II. Zeitschrift für Analysis und ihre Anwendungen. 3(3). 193–202. 1 indexed citations
17.
Böttcher, Albrecht. (1984). Fredholmness and finite section method for Toeplitz operators in $l^p (Z_+ \times Z_+)$ with piecewise continuous symbols I. Zeitschrift für Analysis und ihre Anwendungen. 3(2). 97–110. 1 indexed citations
18.
Böttcher, Albrecht & Bernd Silbermann. (1983). Invertibility and Asymptotics of Toeplitz Matrices. 52 indexed citations
19.
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
20.
Böttcher, Albrecht. (1982). Toeplitz determinants with piecewise continuous generating function. Zeitschrift für Analysis und ihre Anwendungen. 1(2). 23–39. 11 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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