3 papers
math.FA2026
Higher-order derivatives of radially symmetric functions
Zdeněk Mihula, Jan Vybíral
We prove a surprisingly simple pointwise formula for the Frobenius norm of the tensor of -th order partial derivatives of a radially symmetric function . Using the…
math.FA2025
Bases of Lebesgue spaces formed by neural networks
Vladimir Kulbatov, Jan Lang, Cornelia Schneider +1
The seminal work of Daubechies, DeVore, Foucart, Hanin, and Petrova introduced in 2022 a sequence of univariate piece-wise linear functions, which resemble the classical Fourier ba…
math.FA2024
Entropy numbers of finite-dimensional Lorentz space embeddings
Joscha Prochno, Mathias Sonnleitner, Jan VybÃral
The sequence of entropy numbers quantifies the degree of compactness of a linear operator acting between quasi-Banach spaces. We determine the asymptotic behavior of entropy number…