activity
20182022
most citedLower bounds for artificial neural network approximations: A proof that shallow neural networks fail to overcome the curse of dimensionality

1 citations · 1 across the 2 of their papers we have counts for

collaborators
Showing math.FAShow all

3 papers · 1 filter

math.FA2022

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…

math.FA2019

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…

math.FA2018

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…