4 citations · 14 across the 15 of their papers we have counts for
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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…
An Application of Hypergeometric Functions to Heat Kernels on Rectangular and Hexagonal Tori and a "Weltkonstante" -- Or -- How Ramanujan Split Temperatures
Markus Faulhuber
In this work we investigate the heat kernel of the Laplace--Beltrami operator on a rectangular torus and the according temperature distribution. We compute the minimum and the maxi…
Some curious results related to a conjecture of Strohmer and Beaver
Markus Faulhuber
We study results related to a conjecture formulated by Strohmer and Beaver about optimal Gaussian Gabor frame set-ups. Our attention will be restricted to the case of Gabor systems…