4 papers
On best approximation by multivariate ridge functions with applications to generalized translation networks
Paul Geuchen, Palina Salanevich, Olov Schavemaker +1
In this paper, we prove sharp upper and lower bounds for the approximation of Sobolev functions by sums of multivariate ridge functions, i.e., for approximation by functions of the…
Besov regularity of random wavelet series
Andreas Horst, Thomas Jahn, Felix Voigtlaender
We study the Besov regularity of wavelet series on with randomly chosen coefficients. More precisely, each coefficient is a product of a random factor and a paramete…
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…
Discrete Triebel-Lizorkin spaces and expansive matrices
Jordy Timo van Velthoven, Felix Voigtlaender
We provide a characterization of two expansive dilation matrices yielding equal discrete anisotropic Triebel-Lizorkin spaces. For two such matrices and , it is shown that $\…