5 papers
Riesz sequences near the critical density
Marcin Bownik, Jordy Timo van Velthoven
We construct Riesz sequences whose Beurling density is arbitrary close to the critical density in the setting of reproducing kernel Hilbert spaces on metric measure spaces. In part…
Wavelet orthonormal bases for nonexpansive dilations
Jordy Timo van Velthoven, Felix Voigtlaender
We construct wavelet orthonormal bases for nonexpansive dilations and integer translations that do not admit a wavelet set. In addition, these orthonormal bases do not satisfy the…
On wavelet coorbit spaces associated to different dilation groups
Hartmut Führ, Jordy Timo van Velthoven, Felix Voigtlaender
This paper develops methods based on coarse geometry for the comparison of wavelet coorbit spaces defined by different dilation groups, with emphasis on establishing a unified appr…
The density theorem for discrete series representations restricted to lattices
José Luis Romero, Jordy Timo van Velthoven
This article considers the relation between the spanning properties of lattice orbits of discrete series representations and the associated lattice co-volume. The focus is on the d…
On dual molecules and convolution-dominated operators
José Luis Romero, Jordy Timo van Velthoven, Felix Voigtlaender
We show that sampling or interpolation formulas in reproducing kernel Hilbert spaces can be obtained by reproducing kernels whose dual systems form molecules, ensuring that the siz…