6 citations · 19 across the 21 of their papers we have counts for
5 papers · 1 filter
Invertibility of frame operators on Besov-type decomposition spaces
José Luis Romero, Jordy Timo van Velthoven, Felix Voigtlaender
We derive an extension of the Walnut-Daubechies criterion for the invertibility of frame operators. The criterion concerns general reproducing systems and Besov-type spaces. As an…
Design and properties of wave packet smoothness spaces
Dimitri Bytchenkoff, Felix Voigtlaender
We introduce a family of quasi-Banach spaces - which we call wave packet smoothness spaces - that includes those function spaces which can be characterised by the sparsity of their…
Approximation in with deep ReLU neural networks
Felix Voigtlaender, Philipp Petersen
We discuss the expressive power of neural networks which use the non-smooth ReLU activation function by analyzing the approximation theoretic properties…
Time-Frequency Shift Invariance of Gabor Spaces with an -Generator
Andrei Caragea, Dae Gwan Lee, Friedrich Philipp +1
We consider Gabor Riesz sequences generated by a lattice and a window function which is well localized in both time and frequency. W…
A quantitative subspace Balian-Low theorem
Andrei Caragea, Dae Gwan Lee, Friedrich Philipp +1
Let be the subspace spanned by a Gabor Riesz sequence with and a lattice of rational density.…