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Markus Faulhuber
Markus Faulhuber
Verifisert e-postadresse på univie.ac.at - Startside
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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
382017
Minimal frame operator norms via minimal theta functions
M Faulhuber
Journal of Fourier Analysis and Applications 24 (2), 545-559, 2018
232018
A variational principle for Gaussian lattice sums
L Bétermin, M Faulhuber, S Steinerberger
arXiv preprint arXiv:2110.06008, 2021
172021
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
152023
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
142021
A short note on the frame set of odd functions
M Faulhuber
Bulletin of the Australian Mathematical Society 98 (3), 481-493, 2018
132018
Extremal Bounds of Gaussian Gabor Frames and Properties of Jacobi’s Theta Functions
M Faulhuber
PhD thesis, University of Vienna, 2016
132016
Extremal determinants of Laplace–Beltrami operators for rectangular tori
M Faulhuber
Mathematische Zeitschrift 297, 175-195, 2021
12*2021
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
122021
An extremal property of the hexagonal lattice
M Faulhuber, S Steinerberger
Journal of Statistical Physics 177, 285-298, 2019
102019
Gabor frame bound optimizations
M Faulhuber, I Shafkulovska
Applied and Computational Harmonic Analysis 67, 101574, 2023
72023
Multi-window weaving frames
M Dörfler, M Faulhuber
2017 International Conference on Sampling Theory and Applications (SampTA …, 2017
72017
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
62016
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
52020
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
52019
Some curious results related to a conjecture of Strohmer and Beaver
M Faulhuber
Analysis and Applications 19 (05), 845-873, 2021
42021
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
32020
Maximal polarization for periodic configurations on the real line
M Faulhuber, S Steinerberger
International Mathematics Research Notices 2024 (9), 7914-7943, 2024
22024
The AGM of Gauss, Ramanujan’s corresponding theory, and spectral bounds of self-adjoint operators
M Faulhuber, A Gumber, I Shafkulovska
Monatshefte für Mathematik, 1-32, 2025
12025
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
12024
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Artikler 1–20