Optimal Gabor frame bounds for separable lattices and estimates for Jacobi theta functions M Faulhuber, S Steinerberger Journal of Mathematical Analysis and Applications 445 (1), 407-422, 2017 | 36 | 2017 |
Minimal frame operator norms via minimal theta functions M Faulhuber Journal of Fourier Analysis and Applications 24 (2), 545-559, 2018 | 20 | 2018 |
Extremal Bounds of Gaussian Gabor Frames and Properties of Jacobi’s Theta Functions M Faulhuber PhD thesis, University of Vienna, 2016 | 13 | 2016 |
A variational principle for Gaussian lattice sums L Bétermin, M Faulhuber, S Steinerberger arXiv preprint arXiv:2110.06008, 2021 | 12 | 2021 |
Extremal determinants of Laplace–Beltrami operators for rectangular tori M Faulhuber Mathematische Zeitschrift 297, 175-195, 2021 | 12* | 2021 |
Maximal theta functions universal optimality of the hexagonal lattice for Madelung-like lattice energies L Bétermin, M Faulhuber Journal d'Analyse Mathématique 149 (1), 307-341, 2023 | 11 | 2023 |
An application of hypergeometric functions to heat kernels on rectangular and hexagonal tori and a “Weltkonstante”-or-how Ramanujan split temperatures M Faulhuber The Ramanujan Journal 54 (1), 1-27, 2021 | 11 | 2021 |
A short note on the frame set of odd functions M Faulhuber Bulletin of the Australian Mathematical Society 98 (3), 481-493, 2018 | 11 | 2018 |
On the optimality of the rock-salt structure among lattices with charge distributions L Bétermin, M Faulhuber, H Knüpfer Mathematical Models and Methods in Applied Sciences 31 (02), 293-325, 2021 | 10 | 2021 |
An extremal property of the hexagonal lattice M Faulhuber, S Steinerberger Journal of Statistical Physics 177, 285-298, 2019 | 9 | 2019 |
Multi-window weaving frames M Dörfler, M Faulhuber 2017 International Conference on Sampling Theory and Applications (SampTA …, 2017 | 7 | 2017 |
Gabor frame sets of invariance: a Hamiltonian approach to Gabor frame deformations M Faulhuber Journal of Pseudo-Differential Operators and Applications 7, 213-235, 2016 | 6 | 2016 |
Gaussian distributions and phase space Weyl–Heisenberg frames M Faulhuber, MA de Gosson, D Rottensteiner Applied and Computational Harmonic Analysis 48 (1), 374-394, 2020 | 4 | 2020 |
The Strohmer and Beaver conjecture for Gaussian Gabor systems: a deep mathematical problem (?) M Faulhuber 2019 13th International conference on Sampling Theory and Applications …, 2019 | 4 | 2019 |
Gabor frame bound optimizations M Faulhuber, I Shafkulovska Applied and Computational Harmonic Analysis 67, 101574, 2023 | 3 | 2023 |
Some curious results related to a conjecture of Strohmer and Beaver M Faulhuber Analysis and Applications 19 (05), 845-873, 2021 | 3 | 2021 |
On the Parity under Metapletic Operators and an Extension of a Result of Lyubarskii and Nes M Faulhuber Results in Mathematics 75 (1), 8, 2020 | 3 | 2020 |
Qualitätsbetrachtung der Wavelet-und RMS Analyse in Abhängigkeit der Aufnahmefrequenz von EMG Signalen LG Wiedemann, TS Haftner, B Pobatschnig, M Faulhuber, M Reichel Tagungsband zur ÖGBMT-Jahrestagung, 19-20, 2014 | 2 | 2014 |
A note on energy minimization in dimension 2 M Faulhuber, I Shafkulovska, I Zlotnikov arXiv preprint arXiv:2306.16266, 2023 | 1 | 2023 |
On the frame property of Hermite functions and analytic extensions of their frame sets M Faulhuber, I Shafkulovska, I Zlotnikov arXiv preprint arXiv:2403.10503, 2024 | | 2024 |