Welcome
HATA (Harmonic Analysis - Theory and Application) is part of the Section of Mathematics at the institute DTU Compute. The group was founded in 2014 by Ole Christensen & Jakob Lemvig, and its activities cover a wide range from pure functional and harmonic analysis to applications. Frame theory is a cornerstone of the HATA group activities, e.g., finite-dimensional frames, Gabor frames, shearlets, and generalized shift-invariant systems on the real line (or more generally on LCA groups).
Recent and upcoming meetings
- The HATA group will attend the Workshop on Mathematical Signal and Image Analysis, April 1-3, 2019, in Raitenhaslach, Germany
- The HATA group will attend the workshop on Mathematical Challenges of Structured Function Systems held at the ESI in Vienna March 19 to 23, 2018.
- The HATA group will attend the 7th International Conference on Computational Harmonic Analysis (ICCHA7) at Vanderbilt University in Nashville, TN from May 14-18, 2018.
- The HATA group will attend Strobl18 Harmonic Analysis and Applications in Strobl, Austria on June 3-9, 2018.
- The HATA group will attend the International Workshop on Operator Theory and Applications (IWOTA) which will take place at East China Normal University in Shanghai, July 23-27, 2018.
Recent News
- Kamilla Haahr Nielsen successfully defended her PhD thesis Constructing dual windows for Gabor frames on November 8, 2019.
- Jose Luis Romero (Universität Vienna) will visit HATA November 5-8, 2019, and give a talk Sampling along continuous trajectories in the DTU mathematics seminar.
- Felix Voigtländer (Katholische Universität Eichstätt-Ingolstadt) will visit HATA October 7-11, 2018, and give a talk on Approximation theoretic properties of deep ReLU neural networks in the DTU mathematics seminar.
Recent preprints
Publications and preprints are found here
HATA milestones
- September 15, 2023: Marzieh Hasannasab has joined the HATA group at DTU as a tenure track assistant professor. Welcome!
- Kamilla Haahr Nielsen successfully defended her PhD thesis Constructing dual windows for Gabor frames on November 8, 2019. Prof. Morten Nielsen and Jose Luis Romero acted as external members of the PhD committee.
- Marzieh Hasannasab successfully defended her PhD thesis Operator Representations of Frames and Structured Function Systems on November 22, 2018.
- Ole Christensen was a guest professor at National University of Singapore, January 8 - February 8, 2018.
- M. Zakowicz was awarded the PhD-degree on December 4, 2017, University of San Luis (advisor O. Christensen).
- Jordy V. Velthoven will defend his master thesis on Frame properties of generalised translation-invariant systems on locally compact Abelian groups on June 22, 2017. He is now a PhD student at the Acoustics Research Institute (ARI) in Austria (now at University of Vienna).
- Ole Christensen was a guest professor at National University of Singapore, December 22, 2016 - January 23, 2017.
- Mads S. Jakobsen successfully defended his Ph.D. on Friday, October 28, 2016. He is now a postdoc at NTNU.
- Hans G. Feichtinger was Otto Mønsted visiting professor at HATA from October 1 to December 31, 2016.
- Kamilla Haahr Nielsen started as Ph.D.-student at HATA on August 1st, 2016.
- Publication of the second expanded edition of the book An Introduction to frames and Riesz bases by Ole Christensen, Birkhaeuser, 2016
- Marzieh Hasannasab Jaldehbakhani started as Ph.D.-student at HATA on December 1st, 2015.
- DFF-Research Project Grant from the Danish Council for Independent Research: Efficient representation of high-dimensional signals of DKK 2.5 million (2015-2018)
- Jordy V. Velthoven received the VSBfonds Beurs grant with the purpose of studying at DTU.
- Mads S. Jakobsen received the prestigious EliteForsk prize 2015.
- Ole Christensen was awarded Teacher of the Year 2014 at DTU. See this video (in Danish)
- The HATA group was formed in 2014.
Old News
- Ole Christensen completed the second edition of An Introduction to Frames and Riesz Bases on September 1, 2015
- Ole Christensen, Brigitte Forster, Peter Massopust: Fractional and Complex Pseudo-Splines and the Construction of Parseval Frames.
- Ole Christensen, Hong Oh Kim, Rae Young Kim: On partition of unities generated by entire functions and Gabor frames in L^2(\mathbb R^d) and \ell^2(\mathbb Z^d) .
- Ole Christensen, Hong Oh Kim, Rae Young Kim: On the Gabor frame set for compactly supported continuous functions.
- New published paper by Jakob Lemvig: On some Hermite series identities and their applications to Gabor analysis.
- Ole Christensen, Marzieh Hasannasab, and Jakob Lemvig: Explicit constructions and properties of generalized shift-invariant systems in L^2(\mathbb{R}) has been accepted for publication in Advances in Computational Mathmatics.
- Ole Christensen appointed as Visiting Research Professor, December 21-January 23, National University of Singapore
- preprint(s):
Marcin Bownik & Jakob Lemvig: Wavelets for non-expanding dilations and the lattice counting estimate.
Diana T. Stoeva & Ole Christensen: On various R-duals and the duality principle.
- Guests Autumn 2015: Peter Massopust & Brigitte Forster-Heinlein (Nov. 2-8), and Romanos Malikiosis (Nov. 17-20).
- Ole Christensen and Jakob Lemvig have received a grant of DKK 2.5 million from the Dansih Council for Independent Research.
- Jakob Lemvig is organizing a minisymposium on Applied and Computational Harmonic Analysis at the 2015 annual meeting of the Deutschen Mathematiker-Vereinigung (DMV) together with Gitta Kutyniok.
- Ole Christensen is organizing a minisymposium on Mathematical Methods in Image and Signal Processing at the 2015 annual meeting of the Deutschen Mathematiker-Vereinigung (DMV) together with Armin Iske.