The next workshop on Quantum Harmonic Analysis will be held at the Erwin-Schrödinger Institute from May 5-9, 2025. Feel free to contact one of the organizers for further information: Markus Faulhuber, Hans G. Feichtinger, Franz Luef
Accepted article
The article On the frame property of Hermite functions and explorations of their frame sets (with I. Shafkulovska and I. Zlotninkov) will appear in the special issue on the occassion of Karlheinz Gröchenig’s 65th birthday in Journal of Fourier Analysis and Applications.
New preprint
The preprint Gabor systems with Hermite functions of order n and oversampling greater than n+1 which are not frames is available on arXiv.org
New preprint
The preprint Operator-isomorphism pairs and Zak transform methods for the study of Gabor systems is available on arXiv.org
Accepted article
The article The AGM of Gauss, Ramanujan’s corresponding theory, and spectral bounds of self-adjoint operators (joint work with A. Gumber and I. Shafkulovska) has been accepted for publication in Monatshefte für Mathematik.
New project
The Austrian Science Fund (FWF) has approved my project Packing, Covering, and Time-Frequency Analysis.
Accepted article
The article “A note on energy minimization in dimension 2” (joint work with I. Shafkulovska and I. Zlotnikov) will appear in the Proceedings of the American Mathematical Society Series B.
New preprint
The new preprint with Thomas Strohmer (UC Davis) Quantum paving: when sphere packings meet Gabor frames is available on the arXiv: https://arxiv.org/abs/2408.08975