2 citations · 4 across the 2 of their papers we have counts for
8 papers
Time-Frequency Analysis (Lecture Notes)
Markus Faulhuber
These lecture notes accompanied the course Time-Frequency Analysis given at the Faculty of Mathematics of the University of Vienna in the summer term 2021. The material is suitable…
A variational principle for Gaussian lattice sums
Laurent Bétermin, Markus Faulhuber, Stefan Steinerberger
We consider a two-dimensional analogue of Jacobi theta functions and prove that, among all lattices with fixed density, the minimal value is maximized by th…
On the optimality of the rock-salt structure among lattices with charge distributions
Laurent Bétermin, Markus Faulhuber, Hans Knüpfer
The goal of this work is to investigate the optimality of the -dimensional rock-salt structure, i.e., the cubic lattice of volume with an alternation o…
The Strohmer and Beaver Conjecture for Gaussian Gabor Systems - A Deep Mathematical Problem (?)
Markus Faulhuber
In this article we are going to discuss the conjecture of Strohmer and Beaver for Gaussian Gabor systems. It asks for an optimal sampling pattern in the time-frequency plane, where…
An Extremal Property of the Hexagonal Lattice
Markus Faulhuber, Stefan Steinerberger
We describe an extremal property of the hexagonal lattice . Let denote the circumcenter of its fundamental triangle (a so-called deep hole) and let …
On the Parity under Metapletic Operators and an Extension of a Result of Lyubarskii and Nes
Markus Faulhuber
In this work we show that if the frame property of a Gabor frame with window in Feichtinger's algebra and a fixed lattice only depends on the parity of the window, then the lattice…