I am a Postdoctoral Researcher at the Department of Mathematics of Ghent University. I am a member of the research group “Analysis and PDEs'” of Prof. Michael Ruzhansky. I work in the area of Mathematical Analysis with a focus on harmonic analysis and PDE theory on nilpotent Lie groups.

Publications and preprints:

1. Gröchenig, K., Romero José Luis, Rottensteiner, D., van Velthoven, J. T. Balian-Low type theorems on homogeneous groups. https://arxiv.org/abs/1908.03053

2. Rottensteiner, D., Ruzhansky, M. Harmonic and Anharmonic Oscillators on the Heisenberg Group. https://arxiv.org/abs/1812.09620

3. Fischer, V., Rottensteiner, D., Ruzhansky, M. Heisenberg-Modulation Spaces at the Crossroads of Coorbit Theory and Decomposition Space Theory. https://arxiv.org/abs/1812.07876

4. Gröchenig, K., Rottensteiner, D. Orthonormal Bases in the Orbit of Square-Integrable Representations of Nilpotent Lie Groups. J. Funct. Anal., 275(12):3338–3379, 2018. doi: 10.1016/j.jfa.2018.06.011

5. de Gosson, M., Faulhuber, M., Rottensteiner, D. Gaussian Mixed States and Weyl– Heisenberg Frames, ACH A. doi: 10.1016/j.acha.2018.06.001

6. Rottensteiner D., Ruzhansky M., The harmonic oscillator on the Heisenberg group. C. R. Acad. Sci. Paris, to appear. arxiv