3 papers
math.FA2020
Construction of Banach frames and atomic decompositions of anisotropic Besov spaces
Dimitri Bytchenkoff
We construct generalised shift-invariant systems of functions of several real variables for anisotropic Besov spaces that can be generated by the decomposition method using any giv…
math.FA2020
On near orthogonality of the Banach frames of the wave packet spaces
Dimitri Bytchenkoff
In solving scientific, engineering or pure mathematical problems one is often faced with a need to approximate the function of a given class by the linear combination of a preferab…
math.FA2019
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…