Hermann König

1.8k total citations
57 papers, 885 citations indexed

About

Hermann König is a scholar working on Applied Mathematics, Mathematical Physics and Geometry and Topology. According to data from OpenAlex, Hermann König has authored 57 papers receiving a total of 885 indexed citations (citations by other indexed papers that have themselves been cited), including 36 papers in Applied Mathematics, 23 papers in Mathematical Physics and 13 papers in Geometry and Topology. Recurrent topics in Hermann König's work include Advanced Banach Space Theory (13 papers), Advanced Harmonic Analysis Research (12 papers) and Mathematical Approximation and Integration (10 papers). Hermann König is often cited by papers focused on Advanced Banach Space Theory (13 papers), Advanced Harmonic Analysis Research (12 papers) and Mathematical Approximation and Integration (10 papers). Hermann König collaborates with scholars based in Germany, Israel and United States. Hermann König's co-authors include Nicole Tomczak-Jaegermann, J. R. Retherford, Carsten Schütt, Alexander Koldobsky, William B. Johnson, B. Maurey, Vitali Milman, Stanisław Kwapień, Y. Gordon and Drew Lewis and has published in prestigious journals such as Transactions of the American Mathematical Society, Advances in Mathematics and Journal of Functional Analysis.

In The Last Decade

Hermann König

53 papers receiving 785 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Hermann König Germany	15	638	506	180	155	129	57	885
Robert E. Megginson United States	3	271 0.4×	398 0.8×	129 0.7×	227 1.5×	69 0.5×	5	658
Grahame Bennett United States	17	713 1.1×	449 0.9×	374 2.1×	174 1.1×	103 0.8×	56	1.0k
Bernd Carl Germany	14	539 0.8×	423 0.8×	216 1.2×	128 0.8×	188 1.5×	45	950
Anthony Carbery United Kingdom	21	1.1k 1.7×	650 1.3×	58 0.3×	150 1.0×	112 0.9×	82	1.3k
Y. Gordon Israel	16	486 0.8×	361 0.7×	237 1.3×	84 0.5×	64 0.5×	48	793
Daniel Waterman United States	14	491 0.8×	285 0.6×	223 1.2×	153 1.0×	119 0.9×	68	780
Per Enflo United States	16	597 0.9×	702 1.4×	173 1.0×	233 1.5×	52 0.4×	37	1.0k
T. Figiel United States	14	702 1.1×	882 1.7×	372 2.1×	247 1.6×	81 0.6×	29	1.2k
Vladimir Peller United States	13	745 1.2×	569 1.1×	71 0.4×	171 1.1×	58 0.4×	56	970
J. R. Retherford United States	14	480 0.8×	631 1.2×	279 1.6×	186 1.2×	46 0.4×	42	923

Countries citing papers authored by Hermann König

Since Specialization

Citations

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

Fields of papers citing papers by Hermann König

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Hermann König

This figure shows the co-authorship network connecting the top 25 collaborators of Hermann König. A scholar is included among the top collaborators of Hermann König 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 Hermann König. Hermann König is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

König, Hermann. (2024). On hyperplane sections and projections in $$l_p^n$$. Banach Journal of Mathematical Analysis. 18(4).

König, Hermann & Alexander Koldobsky. (2019). On the maximal perimeter of sections of the cube. Advances in Mathematics. 346. 773–804. 9 indexed citations

Artstein-Avidan, Shiri, Hermann König, & Alexander Koldobsky. (2016). Asymptotic Geometric Analysis. Oberwolfach Reports. 13(1). 507–565. 6 indexed citations

König, Hermann & Vitali Milman. (2011). A functional equation characterizing the second derivative. Journal of Functional Analysis. 261(4). 876–896. 1 indexed citations

König, Hermann & Alexander Koldobsky. (2011). Volumes of low-dimensional slabs and sections in the cube. Advances in Applied Mathematics. 47(4). 894–907. 12 indexed citations

König, Hermann & Vitali Milman. (2011). The chain rule functional equation on Rn. Journal of Functional Analysis. 261(4). 861–875.

König, Hermann & Vitali Milman. (2011). Characterizing the derivative and the entropy function by the Leibniz rule. Journal of Functional Analysis. 261(5). 1325–1344. 11 indexed citations

Artstein-Avidan, Shiri, Hermann König, & Vitali Milman. (2010). The chain rule as a functional equation. Journal of Functional Analysis. 259(11). 2999–3024. 8 indexed citations

König, Hermann, et al.. (2008). The complex Busemann–Petty problem on sections of convex bodies. Advances in Mathematics. 218(2). 352–367. 26 indexed citations

10.

König, Hermann, Carsten Schütt, & Nicole Tomczak-Jaegermann. (1999). Projection constants of symmetric spaces and variants of Khintchine's inequality. Journal für die reine und angewandte Mathematik (Crelles Journal). 1999(511). 1–42. 33 indexed citations

11.

König, Hermann. (1995). Isometric imbeddings of Euclidean spaces into finite dimensional $l_p$-spaces. Banach Center Publications. 34(1). 79–87. 10 indexed citations

12.

König, Hermann & Nicole Tomczak-Jaegermann. (1994). Norms of Minimal Projections. Journal of Functional Analysis. 119(2). 253–280. 44 indexed citations

13.

König, Hermann & Nicole Tomczak-Jaegermann. (1990). Bounds for projection constants and 1-summing norms. Transactions of the American Mathematical Society. 320(2). 799–823. 19 indexed citations

14.

Gordon, Y., Hermann König, & Carsten Schütt. (1987). Geometric and probabilistic estimates for entropy and approximation numbers of operators. Journal of Approximation Theory. 49(3). 219–239. 30 indexed citations

15.

König, Hermann & D. R. Lewis. (1987). A strict inequality for projection constants. Journal of Functional Analysis. 74(2). 328–332. 7 indexed citations

16.

König, Hermann. (1986). Eigenvalues of compact operators with applications to integral operators. Linear Algebra and its Applications. 84. 111–122. 3 indexed citations

17.

König, Hermann, J. R. Retherford, & Nicole Tomczak-Jaegermann. (1980). On the eigenvalues of (p, 2)-summing operators and constants associated with normed spaces. Journal of Functional Analysis. 37(1). 88–126. 29 indexed citations

18.

Johnson, William B., Hermann König, B. Maurey, & J. R. Retherford. (1979). Eigenvalues of p-summing and lp-type operators in Banach spaces. Journal of Functional Analysis. 32(3). 353–380. 55 indexed citations

19.

König, Hermann. (1978). Approximation numbers of Sobolev imbeddings over unbounded domains. Journal of Functional Analysis. 29(1). 74–87. 7 indexed citations

20.

König, Hermann. (1977). Operator properties of Sobolev imbeddings over unbounded domains. Journal of Functional Analysis. 24(1). 32–51. 9 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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