Steffen Roch

1.9k total citations
69 papers, 880 citations indexed

About

Steffen Roch is a scholar working on Applied Mathematics, Mathematical Physics and Computational Theory and Mathematics. According to data from OpenAlex, Steffen Roch has authored 69 papers receiving a total of 880 indexed citations (citations by other indexed papers that have themselves been cited), including 45 papers in Applied Mathematics, 39 papers in Mathematical Physics and 32 papers in Computational Theory and Mathematics. Recurrent topics in Steffen Roch's work include Holomorphic and Operator Theory (26 papers), Spectral Theory in Mathematical Physics (22 papers) and Matrix Theory and Algorithms (22 papers). Steffen Roch is often cited by papers focused on Holomorphic and Operator Theory (26 papers), Spectral Theory in Mathematical Physics (22 papers) and Matrix Theory and Algorithms (22 papers). Steffen Roch collaborates with scholars based in Germany, Mexico and Portugal. Steffen Roch's co-authors include Bernd Silbermann, Vladimir Rabinovich, Pedro A. Santos, John Roe, Peter Junghanns, Marko Lindner, Naum Krupnik and Torsten Ehrhardt and has published in prestigious journals such as SHILAP Revista de lepidopterología, SIAM Journal on Numerical Analysis and Journal of Mathematical Analysis and Applications.

In The Last Decade

Steffen Roch

63 papers receiving 748 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Steffen Roch Germany 15 606 577 302 145 61 69 880
Aad Dijksma Netherlands 17 549 0.9× 623 1.1× 464 1.5× 86 0.6× 26 0.4× 70 960
Seppo Hassi Finland 18 640 1.1× 862 1.5× 637 2.1× 96 0.7× 38 0.6× 76 1.1k
Vladimir Peller United States 13 745 1.2× 569 1.0× 171 0.6× 62 0.4× 71 1.2× 56 970
Thomas Wolff United States 19 1.0k 1.7× 845 1.5× 334 1.1× 113 0.8× 29 0.5× 47 1.4k
Henk de Snoo Netherlands 17 447 0.7× 633 1.1× 530 1.8× 83 0.6× 19 0.3× 54 805
Bernd Kirstein Germany 13 514 0.8× 342 0.6× 331 1.1× 66 0.5× 41 0.7× 97 733
H. S. V. de Snoo Netherlands 11 370 0.6× 440 0.8× 325 1.1× 81 0.6× 20 0.3× 37 606
Н. К. Никольский Russia 11 839 1.4× 497 0.9× 205 0.7× 161 1.1× 48 0.8× 42 1.1k
Victor Vinnikov Israel 14 326 0.5× 265 0.5× 279 0.9× 213 1.5× 41 0.7× 55 723
Allen Devinatz United States 18 397 0.7× 459 0.8× 278 0.9× 64 0.4× 32 0.5× 50 763

Countries citing papers authored by Steffen Roch

Since Specialization
Citations

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

Fields of papers citing papers by Steffen Roch

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Steffen Roch

This figure shows the co-authorship network connecting the top 25 collaborators of Steffen Roch. A scholar is included among the top collaborators of Steffen Roch 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 Steffen Roch. Steffen Roch 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.
Roch, Steffen. (2014). Finite sections of truncated Toeplitz operators. SHILAP Revista de lepidopterología. 1 indexed citations
2.
Roch, Steffen & Pedro A. Santos. (2014). Finite section approximations in an algebra of convolution, multiplication and flip operators on L p ( R ) . Journal of Approximation Theory. 186. 64–97.
3.
Roch, Steffen & Pedro A. Santos. (2012). Two points, one limit: Homogenization techniques for two-point local algebras. Journal of Mathematical Analysis and Applications. 391(2). 552–566. 1 indexed citations
4.
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
5.
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.
6.
Rabinovich, Vladimir & Steffen Roch. (2008). Fredholm Properties of Band-dominated Operators on Periodic Discrete Structures. Complex Analysis and Operator Theory. 2(4). 637–668. 3 indexed citations
7.
Rabinovich, Vladimir & Steffen Roch. (2004). Wiener Algebras of Operators, and Applications to Pseudodifferential Operators. Zeitschrift für Analysis und ihre Anwendungen. 23(3). 437–482. 7 indexed citations
8.
Rabinovich, Vladimir, Steffen Roch, & Bernd Silbermann. (2001). Algebras of Approximation Sequences: Finite Sections of Band-Dominated Operators. Acta Applicandae Mathematicae. 65(1-3). 315–332. 10 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 & Bernd Silbermann. (1998). Index Calculus for Approximation Methods and Singular Value Decomposition. Journal of Mathematical Analysis and Applications. 225(2). 401–426. 16 indexed citations
11.
Roch, Steffen & Bernd Silbermann. (1998). A note on singular values of Cauchy-Toeplitz matrices. Linear Algebra and its Applications. 275-276. 531–536. 6 indexed citations
12.
Roch, Steffen. (1998). Numerical ranges of large Toeplitz matrices. Linear Algebra and its Applications. 282(1-3). 185–198. 2 indexed citations
13.
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
14.
Krupnik, Naum & Steffen Roch. (1996). On invertibility symbols in Banach algebras. Linear Algebra and its Applications. 245. 77–81. 1 indexed citations
15.
Krupnik, Naum, Steffen Roch, & Bernd Silbermann. (1996). OnC*-Algebras Generated by Idempotents. Journal of Functional Analysis. 137(2). 303–319. 9 indexed citations
16.
Roch, Steffen. (1994). Spline Approximation Methods Cutting Off Singularities. Zeitschrift für Analysis und ihre Anwendungen. 13(2). 329–345. 2 indexed citations
17.
Roch, Steffen. (1991). Local Algebras of TOEPLITZ Operators onlp, γ. Mathematische Nachrichten. 152(1). 69–81. 2 indexed citations
18.
Roch, Steffen & Bernd Silbermann. (1990). On algebras with standard indentities. Linear Algebra and its Applications. 137-138. 239–247. 2 indexed citations
19.
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
20.
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

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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