54 citations · 54 across the 6 of their papers we have counts for
6 papers
Painless Construction of Unconditional Bases for Anisotropic Modulation and Triebel-Lizorkin Type Spaces
Morten Nielsen
We construct smooth localised orthonormal bases compatible with anisotropic Triebel-Lizorkin and Besov type spaces on . The construction is based on tensor products o…
Matrix weighted modulation spaces
Morten Nielsen
Given a matrix-weight in the Muckenhoupt class , , we introduce corresponding vector-valued continuous and discrete -modulation s…
Discrete Decomposition of Mixed-Norm -modulation spaces
Morten Nielsen
We study a class of almost diagonal matrices compatible with the mixed-norm -modulation spaces , , introduced recently by Cleantho…
Wavelet transforms for homogeneous mixed-norm Triebel--Lizorkin spaces
A. G. Georgiadis, J. Johnsen, M. Nielsen
Homogeneous mixed-norm Triebel--Lizorkin spaces are introduced and studied with the use of a discrete wavelet transformation, the so-called -transform. This extends the classica…
Generalized Sampling in Julia
Robert Dahl Jacobsen, Morten Nielsen, Morten Grud Rasmussen
Generalized sampling is a numerically stable framework for obtaining reconstructions of signals in different bases and frames from their samples. In this paper, we will introduce a…
On Schauder Bases Properties of Multiply Generated Gabor Systems
Morten Nielsen
Let be a finite subset of and . We characterize the Schauder basis properties in of the Gabor system $$G(1,p/q,A)=\{e^{2πi…