23 citations · 65 across the 22 of their papers we have counts for
4 papers · 1 filter
An improved discrete Hardy inequality
Matthias Keller, Yehuda Pinchover, Felix Pogorzelski
We improve the classical discrete Hardy inequality \begin{equation*}\label{1} \sum _{n=1}^{\infty }a_{n}^{2}\geq \left({\frac {1}{2}}\right)^{2} \sum _{n=1}^{\infty }\left({\frac {…
Optimal Hardy inequalities for Schrödinger operators on graphs
Matthias Keller, Yehuda Pinchover, Felix Pogorzelski
For a given subcritical discrete Schrödinger operator on a weighted infinite graph , we construct a Hardy-weight which is optimal in the following sense. The operator $H…
Diffusion on Delone sets
Sebastian Haeseler, Xueping Huang, Daniel Lenz +1
We consider graphs associated to Delone sets in Euclidean space. Such graphs arise in various ways from tilings. Here, we provide a unified framework. In this context, we study the…
Aperiodic order and spherical diffraction, I: Auto-correlation of model sets
Michael Björklund, Tobias Hartnick, Felix Pogorzelski
We study uniform and non-uniform model sets in arbitrary locally compact second countable (lcsc) groups, which provide a natural generalization of uniform model sets in locally com…