Karlheinz Gr�chenig

1.4k total citations
7 papers, 790 citations indexed

About

Karlheinz Gr�chenig is a scholar working on Applied Mathematics, Mathematical Physics and Computer Vision and Pattern Recognition. According to data from OpenAlex, Karlheinz Gr�chenig has authored 7 papers receiving a total of 790 indexed citations (citations by other indexed papers that have themselves been cited), including 6 papers in Applied Mathematics, 3 papers in Mathematical Physics and 2 papers in Computer Vision and Pattern Recognition. Recurrent topics in Karlheinz Gr�chenig's work include Mathematical Analysis and Transform Methods (6 papers), Advanced Harmonic Analysis Research (4 papers) and Image and Signal Denoising Methods (2 papers). Karlheinz Gr�chenig is often cited by papers focused on Mathematical Analysis and Transform Methods (6 papers), Advanced Harmonic Analysis Research (4 papers) and Image and Signal Denoising Methods (2 papers). Karlheinz Gr�chenig collaborates with scholars based in United States, France and Italy. Karlheinz Gr�chenig's co-authors include Hans G. Feichtinger, Christopher Heil, Elena Cordero, Paolo Boggiatto, Michael Leinert and Jean Ludwig and has published in prestigious journals such as Mathematische Zeitschrift, Constructive Approximation and Journal of Fourier Analysis and Applications.

In The Last Decade

Karlheinz Gr�chenig

7 papers receiving 710 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Karlheinz Gr�chenig United States	7	750	276	250	131	94	7	790
Marcin Bownik United States	18	1.4k 1.8×	652 2.4×	379 1.5×	95 0.7×	138 1.5×	63	1.4k
Elena Cordero Italy	17	846 1.1×	463 1.7×	265 1.1×	88 0.7×	34 0.4×	68	929
Jean‐Pierre Gabardo Canada	12	519 0.7×	142 0.5×	227 0.9×	40 0.3×	71 0.8×	38	544
Darrin Speegle United States	10	280 0.4×	87 0.3×	183 0.7×	44 0.3×	47 0.5×	21	340
Wai-Shing Tang Singapore	11	287 0.4×	81 0.3×	132 0.5×	32 0.2×	86 0.9×	22	395
Xianliang Shi China	11	372 0.5×	56 0.2×	270 1.1×	75 0.6×	88 0.9×	36	422
Xingde Dai United States	7	272 0.4×	68 0.2×	201 0.8×	42 0.3×	46 0.5×	13	304
Ilya Krishtal United States	14	314 0.4×	194 0.7×	97 0.4×	20 0.2×	59 0.6×	35	402
Paolo Boggiatto Italy	12	365 0.5×	182 0.7×	140 0.6×	28 0.2×	11 0.1×	34	418
M. Skopina Russia	15	436 0.6×	265 1.0×	257 1.0×	25 0.2×	60 0.6×	55	590

Countries citing papers authored by Karlheinz Gr�chenig

Since Specialization

Citations

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

Fields of papers citing papers by Karlheinz Gr�chenig

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Karlheinz Gr�chenig. 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 Karlheinz Gr�chenig. The network helps show where Karlheinz Gr�chenig may publish in the future.

Co-authorship network of co-authors of Karlheinz Gr�chenig

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

All Works

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7 of 7 papers shown

1.

Gr�chenig, Karlheinz. (2004). Localization of Frames, Banach Frames, and the Invertibility of the Frame Operator. Journal of Fourier Analysis and Applications. 10(2). 105–132. 118 indexed citations

2.

Boggiatto, Paolo, Elena Cordero, & Karlheinz Gr�chenig. (2004). Generalized Anti-Wick Operators with Symbols in Distributional Sobolev spaces. Integral Equations and Operator Theory. 48(4). 427–442. 41 indexed citations

3.

Gr�chenig, Karlheinz, et al.. (2003). Weighted group algebras on groups of polynomial growth. Mathematische Zeitschrift. 245(4). 791–821. 20 indexed citations

4.

Gr�chenig, Karlheinz & Christopher Heil. (1999). Modulation spaces and pseudodifferential operators. Integral Equations and Operator Theory. 34(4). 439–457. 118 indexed citations

5.

Gr�chenig, Karlheinz. (1993). Irregular sampling of wavelet and short-time Fourier transforms. Constructive Approximation. 9(2-3). 283–297. 43 indexed citations

6.

Gr�chenig, Karlheinz. (1991). Describing functions: Atomic decompositions versus frames. Monatshefte für Mathematik. 112(1). 1–42. 269 indexed citations

7.

Feichtinger, Hans G. & Karlheinz Gr�chenig. (1989). Banach spaces related to integrable group representations and their atomic decompositions. Part II. Monatshefte für Mathematik. 108(2-3). 129–148. 181 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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