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 → Sep 2008
M.Sc.Eng. in Applied Mathematics, Technical University of Denmark
Sep 1999 → Apr 2005
Keywords
- User defined:
- frames
- Gabor
- Wavelets
- shearlets
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Research output
-
A Remark on Dilation-and-Modulation Frames for L2(R+)
Lemvig, J., 1 Sep 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 AccessFile60 Downloads (Pure) -
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 AccessFile38 Downloads (Pure) -
On the smoothness of dual windows for Gabor windows supported on [−1, 1]
Lemvig, J. & Nielsen, K. H., 2019, Proceedings of 13th SampTA (Sampling Theory and Applications). 4 p.Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review
Open AccessFile82 Downloads (Pure) -
System bandwidth and the existence of generalized shift-invariant frames
Führ, H. & Lemvig, J., 15 Jan 2019, In: Journal of Functional Analysis. 276, 2, p. 563-601Research output: Contribution to journal › Journal article › Research › peer-review
Open AccessFile32 Downloads (Pure)
Projects
- 4 Finished
-
The frame set for Gabor systems generated by B-splines
Nielsen, K. H., Lemvig, J., Christensen, O., Knudsen, K., Romero, J. L. & Nielsen, M.
Technical University of Denmark
01/08/2016 → 11/12/2019
Project: PhD
-
Mathematic and Efficient Signal Representation
Hasannasabjaldehbakhani, M., Christensen, O., Lemvig, J., Knudsen, K., Grosse-Erdmann, K. & Nielsen, M.
01/12/2015 → 12/12/2018
Project: PhD
-
Gabor Frames, their Duals and Applications in Engineering
Jakobsen, M. S., Christensen, O., Lemvig, J., Knudsen, K., Feichtinger, H. & Hernández, E.
Technical University of Denmark
01/10/2013 → 23/11/2016
Project: PhD
-
Wavelet Frames in theory and Practice
Lemvig, J., Christensen, O., Hansen, P. C., Laugesen, R. S. & Goh, S. S.
01/08/2005 → 05/11/2008
Project: PhD
Activities
- 4 Conference presentations
-
Workshop on Mathematical Signal and Image Analysis
Jakob Lemvig (Keynote speaker)
1 Apr 2019 → 3 Apr 2019Activity: Talks and presentations › Conference presentations
-
Criteria for generalized translation-invariant frames
Jakob Lemvig (Invited speaker)
15 May 2018Activity: Talks and presentations › Conference presentations
-
Criteria for generalized translation-invariant frames
Jakob Lemvig (Invited speaker)
4 Jul 2018Activity: Talks and presentations › Conference presentations
-
On multivariate Wilson bases
Jakob Lemvig (Invited speaker)
6 Jul 2017Activity: Talks and presentations › Conference presentations