Ole Christensen

7.9k total citations · 3 hit papers
115 papers, 4.4k citations indexed

About

Ole Christensen is a scholar working on Applied Mathematics, Computer Vision and Pattern Recognition and Mathematical Physics. According to data from OpenAlex, Ole Christensen has authored 115 papers receiving a total of 4.4k indexed citations (citations by other indexed papers that have themselves been cited), including 90 papers in Applied Mathematics, 46 papers in Computer Vision and Pattern Recognition and 25 papers in Mathematical Physics. Recurrent topics in Ole Christensen's work include Mathematical Analysis and Transform Methods (90 papers), Image and Signal Denoising Methods (44 papers) and Digital Filter Design and Implementation (19 papers). Ole Christensen is often cited by papers focused on Mathematical Analysis and Transform Methods (90 papers), Image and Signal Denoising Methods (44 papers) and Digital Filter Design and Implementation (19 papers). Ole Christensen collaborates with scholars based in Denmark, United States and South Korea. Ole Christensen's co-authors include Eric Weber, Peter G. Casazza, Yonina C. Eldar, Rae Young Kim, Diana T. Stoeva, Christopher Heil, Hong Oh Kim, Alexander Lindner, Say Song Goh and Richard S. Laugesen and has published in prestigious journals such as SHILAP Revista de lepidopterología, Computer and Journal of Mathematical Analysis and Applications.

In The Last Decade

Ole Christensen

109 papers receiving 4.1k citations

Hit Papers

An Introduction to Frames and Riesz Bases 2003 2026 2010 2018 2005 2003 2016 250 500 750 1000
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. An Introduction to Frames and Riesz Bases
    2005 1.0k citations Ole Christensen et al. profile →
  2. An Introduction to Frames and Riesz Bases
    2003 964 citations Ole Christensen CERN Document Server (European Organization for Nuclear Research) profile →
  3. An Introduction to Frames and Riesz Bases
    2016 296 citations Ole Christensen CERN Document Server (European Organization for Nuclear Research) profile →

Peers

Ole Christensen
Karlheinz Gröchenig Austria
Christopher Heil United States
John J. Benedetto United States
Peter G. Casazza United States
Qiyu Sun United States
H. J. Landau United States
M. Alper Kutay Türkiye
Massimo Fornasier Germany
Holger Rauhut Germany
Albert Cohen France
Karlheinz Gröchenig Austria
Ole Christensen
Citations per year, relative to Ole Christensen Ole Christensen (= 1×) peers Karlheinz Gröchenig

Countries citing papers authored by Ole Christensen

Since Specialization
Citations

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

Fields of papers citing papers by Ole Christensen

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Ole Christensen

This figure shows the co-authorship network connecting the top 25 collaborators of Ole Christensen. A scholar is included among the top collaborators of Ole Christensen 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 Ole Christensen. Ole Christensen 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.
Christensen, Ole & Say Song Goh. (2020). The unitary extension principle for locally compact abelian groups with co-compact subgroups. Proceedings of the American Mathematical Society. 149(3). 1189–1202. 2 indexed citations
2.
Christensen, Ole, et al.. (2018). Gabor Frames in ℓ2(Z) and Linear Dependence. Technical University of Denmark, DTU Orbit (Technical University of Denmark, DTU). 1 indexed citations
3.
Christensen, Ole, et al.. (2018). Frame properties of systems arising via iterated actions of operators. Applied and Computational Harmonic Analysis. 46(3). 664–673. 19 indexed citations
4.
Christensen, Ole, et al.. (2016). Paley-wiener type perturbations of frames and the deviation from perfect reconstruction. Technical University of Denmark, DTU Orbit (Technical University of Denmark, DTU). 7(1). 59–69. 1 indexed citations
5.
Christensen, Ole & Say Song Goh. (2014). Fourier-like frames on locally compact abelian groups. Journal of Approximation Theory. 192. 82–101. 15 indexed citations
6.
Christensen, Ole, et al.. (2013). On frame properties for Fourier-like systems. Journal of Approximation Theory. 172. 47–57. 3 indexed citations
7.
Christensen, Ole & Say Song Goh. (2012). Pairs of dual periodic frames. Applied and Computational Harmonic Analysis. 33(3). 315–329. 2 indexed citations
8.
Forster, Brigitte, Peter Massopust, & Ole Christensen. (2010). Four short courses on harmonic analysis : wavelets, frames, time-frequency methods, and applications to signal and image analysis. CERN Document Server (European Organization for Nuclear Research). 9 indexed citations
9.
Christensen, Ole, Hong Oh Kim, & Rae Young Kim. (2009). Gabor windows supported on [−1,1] and compactly supported dual windows. Applied and Computational Harmonic Analysis. 28(1). 89–103. 18 indexed citations
10.
Christensen, Ole. (2005). Pairs of dual Gabor frame generators with compact support and desired frequency localization. Applied and Computational Harmonic Analysis. 20(3). 403–410. 39 indexed citations
11.
Christensen, Ole & Yonina C. Eldar. (2004). Oblique dual frames and shift-invariant spaces. Applied and Computational Harmonic Analysis. 17(1). 48–68. 121 indexed citations
12.
Christensen, Ole & Alexander Lindner. (2002). Decomposition of Riesz frames and wavelets into a finite union of linearly independent sets. Linear Algebra and its Applications. 355(1-3). 147–159. 10 indexed citations
13.
Casazza, Peter G. & Ole Christensen. (2000). Approximation of the Inverse Frame Operator and Applications to Gabor Frames. Journal of Approximation Theory. 103(2). 338–356. 26 indexed citations
14.
Christensen, Ole, et al.. (1999). Density of Gabor Frames. Applied and Computational Harmonic Analysis. 7(3). 292–304. 95 indexed citations
15.
Christensen, Ole & Christopher Heil. (1997). Perturbation of Banach Frames and Atomic Decomposition. Technical University of Denmark, DTU Orbit (Technical University of Denmark, DTU). 5 indexed citations
16.
Christensen, Ole. (1996). Frames Containing a Riesz Basis and Approximation of the Frame Coefficients Using Finite-Dimensional Methods. Journal of Mathematical Analysis and Applications. 199(1). 256–270. 39 indexed citations
17.
Christensen, Ole. (1995). Frame perturbations. Proceedings of the American Mathematical Society. 123(4). 1217–1217. 31 indexed citations
18.
Christensen, Ole. (1995). A Paley-Wiener Theorem for Frames. Proceedings of the American Mathematical Society. 123(7). 2199–2199. 13 indexed citations
19.
Christensen, Ole. (1995). Frame Perturbations. Proceedings of the American Mathematical Society. 123(4). 1217–1217. 4 indexed citations
20.
Christensen, Ole. (1995). Frames and Pseudo-Inverses. Journal of Mathematical Analysis and Applications. 195(2). 401–414. 53 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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