Bernhard Krötz

1.0k total citations
52 papers, 397 citations indexed

About

Bernhard Krötz is a scholar working on Mathematical Physics, Geometry and Topology and Applied Mathematics. According to data from OpenAlex, Bernhard Krötz has authored 52 papers receiving a total of 397 indexed citations (citations by other indexed papers that have themselves been cited), including 49 papers in Mathematical Physics, 29 papers in Geometry and Topology and 27 papers in Applied Mathematics. Recurrent topics in Bernhard Krötz's work include Advanced Algebra and Geometry (44 papers), Holomorphic and Operator Theory (14 papers) and Advanced Topics in Algebra (14 papers). Bernhard Krötz is often cited by papers focused on Advanced Algebra and Geometry (44 papers), Holomorphic and Operator Theory (14 papers) and Advanced Topics in Algebra (14 papers). Bernhard Krötz collaborates with scholars based in Germany, United States and Denmark. Bernhard Krötz's co-authors include Robert J. Stanton, Gestur Ólafsson, Simon Gindikin, Joseph Bernstein, Henrik Schlichtkrull, Sundaram Thangavelu, Yuan Xu, Karl‐Hermann Neeb, Joachim Hilgert and Eric Opdam and has published in prestigious journals such as Annals of Mathematics, Transactions of the American Mathematical Society and Inventiones mathematicae.

In The Last Decade

Bernhard Krötz

44 papers receiving 352 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Bernhard Krötz Germany	11	359	228	193	94	26	52	397
Dmitri Akhiezer Russia	6	155 0.4×	82 0.4×	167 0.9×	30 0.3×	15 0.6×	17	219
Andrew Nicas Canada	8	293 0.8×	72 0.3×	333 1.7×	47 0.5×	48 1.8×	29	365
Vlad Sergiescu France	7	193 0.5×	69 0.3×	222 1.2×	37 0.4×	27 1.0×	10	260
James L. Heitsch United States	11	226 0.6×	106 0.5×	188 1.0×	97 1.0×	5 0.2×	32	292
Sai-Kee Yeung United States	10	93 0.3×	208 0.9×	285 1.5×	26 0.3×	13 0.5×	35	319
Boris Botvinnik United States	9	137 0.4×	167 0.7×	140 0.7×	30 0.3×	6 0.2×	33	230
Andrei Teleman France	11	137 0.4×	87 0.4×	248 1.3×	18 0.2×	11 0.4×	31	261
Victor Nistor United States	12	427 1.2×	104 0.5×	184 1.0×	296 3.1×	9 0.3×	25	447
Daniel Beltiţă Romania	7	140 0.4×	86 0.4×	60 0.3×	96 1.0×	4 0.2×	39	181
H. E. Winkelnkemper United States	6	186 0.5×	73 0.3×	226 1.2×	41 0.4×	53 2.0×	13	279

Countries citing papers authored by Bernhard Krötz

Since Specialization

Citations

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

Fields of papers citing papers by Bernhard Krötz

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Bernhard Krötz

This figure shows the co-authorship network connecting the top 25 collaborators of Bernhard Krötz. A scholar is included among the top collaborators of Bernhard Krötz 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 Bernhard Krötz. Bernhard Krötz 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

Krötz, Bernhard, et al.. (2022). Discrete series representations with non-tempered embedding. Indagationes Mathematicae. 33(4). 869–879.

Krötz, Bernhard, et al.. (2017). . arXiv (Cornell University). 2 indexed citations

Krötz, Bernhard, et al.. (2016). The harmonic analysis of lattice counting on real spherical spaces. Documenta Mathematica. 21. 627–660. 1 indexed citations

Krötz, Bernhard, et al.. (2014). The harmonic analysis of lattice counting on real spherical spaces. arXiv (Cornell University). 3 indexed citations

Krötz, Bernhard, et al.. (2014). Decomposition theorems for triple spaces. Geometriae Dedicata. 174(1). 145–154. 4 indexed citations

Bernstein, Joseph & Bernhard Krötz. (2013). Smooth Fréchet globalizations of Harish-Chandra modules. Israel Journal of Mathematics. 199(1). 45–111. 42 indexed citations

Camporesi, Roberto & Bernhard Krötz. (2011). The complex crown for homogeneous harmonic spaces. Transactions of the American Mathematical Society. 364(4). 2227–2240.

Krötz, Bernhard & Henrik Schlichtkrull. (2009). Holomorphic extension of eigenfunctions. Mathematische Annalen. 345(4). 835–841. 3 indexed citations

Krötz, Bernhard. (2009). Horospherical transform on real symmetric varieties: Kernel and cokernel. Functional Analysis and Its Applications. 43(1). 30–43. 2 indexed citations

10.

Krötz, Bernhard, Sundaram Thangavelu, & Yuan Xu. (2005). The heat kernel transform for the Heisenberg group. Journal of Functional Analysis. 225(2). 301–336. 29 indexed citations

11.

Krötz, Bernhard, et al.. (2005). Lagrangian submanifolds and moment convexity. Transactions of the American Mathematical Society. 358(2). 799–818. 2 indexed citations

12.

Gindikin, Simon, Bernhard Krötz, & Gestur Ólafsson. (2003). Hardy spaces for non-compactly causal symmetric spaces and the most continuous spectrum. Mathematische Annalen. 327(1). 25–66. 3 indexed citations

13.

Krötz, Bernhard, et al.. (2002). Vanishing Properties of Analytically Continued Matrix Coecients. 1 indexed citations

14.

Gindikin, Simon & Bernhard Krötz. (2002). . International Mathematics Research Notices. 2002(18). 959–959. 20 indexed citations

15.

Hilgert, Joachim & Bernhard Krötz. (1999). Representations, Characters, and Spherical Functions Associated to Causal Symmetric Spaces. Journal of Functional Analysis. 169(2). 357–390. 4 indexed citations

16.

Krötz, Bernhard. (1999). Norm estimates for unitarizable highest weight modules. Annales de l’institut Fourier. 49(4). 1241–1264. 4 indexed citations

17.

Krötz, Bernhard. (1999). The Plancherel Theorem for Biinvariant Hilbert Spaces. Publications of the Research Institute for Mathematical Sciences. 35(1). 91–122. 14 indexed citations

18.

Hilgert, Joachim & Bernhard Krötz. (1999). Weighted Bergman spaces¶associated with causal symmetric spaces. manuscripta mathematica. 99(2). 151–180. 6 indexed citations

19.

Krötz, Bernhard. (1999). Equivariant embeddings of Stein domains sitting inside of complex semigroups. Pacific Journal of Mathematics. 189(1). 55–73. 3 indexed citations

20.

Krötz, Bernhard, Karl‐Hermann Neeb, & Gestur Ólafsson. (1997). Spherical representations and mixed symmetric spaces. Representation Theory of the American Mathematical Society. 1(15). 424–461. 20 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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