1 citations · 1 across the 5 of their papers we have counts for
6 papers
Classification of anisotropic Triebel-Lizorkin spaces
Sarah Koppensteiner, Jordy Timo van Velthoven, Felix Voigtlaender
This paper provides a classification theorem for expansive matrices generating the same anisotropic homogeneous Triebel-Lizorkin space $\dot{\mat…
Anisotropic Triebel-Lizorkin spaces and wavelet coefficient decay over one-parameter dilation groups, II
Sarah Koppensteiner, Jordy Timo van Velthoven, Felix Voigtlaender
Continuing previous work, this paper provides maximal characterizations of anisotropic Triebel-Lizorkin spaces for the endpoint case of and…
Anisotropic Triebel-Lizorkin spaces and wavelet coefficient decay over one-parameter dilation groups, I
Sarah Koppensteiner, Jordy Timo van Velthoven, Felix Voigtlaender
This paper provides maximal function characterizations of anisotropic Triebel-Lizorkin spaces associated to general expansive matrices for the full range of parameters $p \in (0,\i…
Lower bounds for artificial neural network approximations: A proof that shallow neural networks fail to overcome the curse of dimensionality
Philipp Grohs, Shokhrukh Ibragimov, Arnulf Jentzen +1
Artificial neural networks (ANNs) have become a very powerful tool in the approximation of high-dimensional functions. Especially, deep ANNs, consisting of a large number of hidden…
Phase Retrieval: Uniqueness and Stability
Philipp Grohs, Sarah Koppensteiner, Martin Rathmair
The problem of phase retrieval, i.e., the problem of recovering a function from the magnitudes of its Fourier transform, naturally arises in various fields of physics, such as astr…
Gabor Frames: Characterizations and Coarse Structure
Karlheinz Gröchenig, Sarah Koppensteiner
This survey offers a systematic and streamlined exposition of the most important characterizations of Gabor frames over a lattice. The goal is to collect the most important charact…