34 citations · 111 across the 25 of their papers we have counts for
4 papers · 1 filter
A Short Note on the Frame Set of Odd Functions
Markus Faulhuber
In this work we derive a simple argument which shows that Gabor systems consisting of odd functions of variables and symplectic lattices of density cannot constitute a Ga…
Extremal Determinants of Laplace-Beltrami Operators for Rectangular Tori
Markus Faulhuber
In this work we study the determinant of the Laplace-Beltrami operator on rectangular tori of unit area. We will see that the square torus gives the extremal determinant within thi…
Gaussian Distributions and Phase Space Weyl--Heisenberg Frames
Markus Faulhuber, Maurice A. de Gosson, David Rottensteiner
Gaussian states are at the heart of quantum mechanics and play an essential role in quantum information processing. In this paper we provide approximation formulas for the expansio…
Multi-Window Weaving Frames
Monika Dörfler, Markus Faulhuber
In this work we deal with the recently introduced concept of weaving frames. We extend the concept to include multi-window frames and present the first sufficient criteria for a fa…