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

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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.FA2022

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…