Research output per year
Research output per year
Personal profile
Profile
Webpages:
- HATA group: http://hata.compute.dtu.dk
- Personal webpage: http://www2.mat.dtu.dk/people/J.Lemvig
Research interest:
- frame theory in finite- and infinite dimensions
- canonical dual and other good dual frames
- wavelet and shearlet theory (time-scale and multi-scale theory)
- Gabor analysis (time-frequency theory)
- efficient representations of multi-dimensional data
- sparse approximations
General topics:
- harmonic and functional analysis
- time- and frequency analysis
- Fourier analysis
- numerical analysis
- numerical linear algebra
- signal and image processing
Short CV:
- 2005 M.Sc.Eng. in Applied Mathematics
- 2008 Ph.D. in Applied Mathematics
- 2009 Postdoc at Uni. Osnabrück
- 2012 Assistant Professor at DTU Compute
Research areas
Wavelet analysis, wavelet frame theory in L^2 on R^n, the discrete wavelet transform/algorithm.Education/Academic qualification
Ph.D. in Applied Mathematics, Technical University of Denmark
Aug 2005 → Sept 2008
M.Sc.Eng. in Applied Mathematics, Technical University of Denmark
Sept 1999 → Apr 2005
Keywords
- User defined:
- frames
- Gabor
- Wavelets
- shearlets
Fingerprint
Dive into the research topics where Jakob Lemvig is active. These topic labels come from the works of this person. Together they form a unique fingerprint.
- 1 Similar Profiles
Collaborations and top research areas from the last five years
Recent external collaboration on country/territory level. Dive into details by clicking on the dots or
Publications
-
On the non-frame property of Gabor systems with Hermite generators and the frame set conjecture
Horst, A., Lemvig, J. & Videbæk, A. E., 2025, In: Applied and Computational Harmonic Analysis. 76, 17 p., 101747.Research output: Contribution to journal › Journal article › Research › peer-review
Open AccessFile28 Downloads (Orbit) -
Uncertainty Quantification for Linear Inverse Problems with Besov Prior: A Randomize-Then-Optimize Method
Horst, A., Maboudi Afkham, B., Dong, Y. & Lemvig, J., 2025, In: Statistics and Computing. 35, 16 p., 101.Research output: Contribution to journal › Journal article › Research › peer-review
Open AccessFile3 Downloads (Orbit) -
A Remark on Dilation-and-Modulation Frames for L2(R+)
Lemvig, J., 1 Sept 2020, In: Results in Mathematics. 75, 3, 110.Research output: Contribution to journal › Journal article › Research › peer-review
Open Access -
Gabor windows supported on [−1, 1] and construction of compactly supported dual windows with optimal smoothness
Lemvig, J. & Nielsen, K. H., 2020, In: Journal of Approximation Theory. 249, 27 p., 105304.Research output: Contribution to journal › Journal article › Research › peer-review
Open AccessFile136 Downloads (Orbit) -
Criteria for generalized translation-invariant frames
Lemvig, J. & van Velthoven, J. T., 2019, In: Studia Mathematica. 251, p. 31-63Research output: Contribution to journal › Journal article › Research › peer-review
Open AccessFile92 Downloads (Orbit)
-
CTM: Computational Thinking makes sense of Mathematics
Lemvig, J. (Project Participant)
01/01/2024 → 31/12/2026
Project: Research
-
Inverse problems with Besov prior
Horst, A. (PhD Student), Dong, Y. (Main Supervisor), Lemvig, J. (Supervisor), Führ, H. (Examiner) & Kekkonen, H. (Examiner)
01/06/2022 → 31/05/2025
Project: PhD
-
The frame set for Gabor systems generated by B-splines
Nielsen, K. H. (PhD Student), Lemvig, J. (Main Supervisor), Christensen, O. (Supervisor), Knudsen, K. (Examiner), Romero, J. L. (Examiner) & Nielsen, M. (Examiner)
Technical University of Denmark
01/08/2016 → 11/12/2019
Project: PhD
-
Mathematic and Efficient Signal Representation
Hasannasabjaldehbakhani, M. (PhD Student), Christensen, O. (Main Supervisor), Lemvig, J. (Supervisor), Knudsen, K. (Examiner), Grosse-Erdmann, K. (Examiner) & Nielsen, M. (Examiner)
01/12/2015 → 12/12/2018
Project: PhD
-
Gabor Frames, their Duals and Applications in Engineering
Jakobsen, M. S. (PhD Student), Christensen, O. (Main Supervisor), Lemvig, J. (Supervisor), Knudsen, K. (Examiner), Feichtinger, H. (Examiner) & Hernández, E. (Examiner)
Technical University of Denmark
01/10/2013 → 23/11/2016
Project: PhD
Activities
- 4 Conference presentations
-
Workshop on Mathematical Signal and Image Analysis
Lemvig, J. (Keynote speaker)
1 Apr 2019 → 3 Apr 2019Activity: Talks and presentations › Conference presentations
-
Criteria for generalized translation-invariant frames
Lemvig, J. (Invited speaker)
15 May 2018Activity: Talks and presentations › Conference presentations
-
Criteria for generalized translation-invariant frames
Lemvig, J. (Invited speaker)
4 Jul 2018Activity: Talks and presentations › Conference presentations
-
On multivariate Wilson bases
Lemvig, J. (Invited speaker)
6 Jul 2017Activity: Talks and presentations › Conference presentations