30 citations · 42 across the 16 of their papers we have counts for
18 papers
Holomorphic Toroidal Pseudodifferential Operators on the Polydisk
Morten Nielsen
We give a necessary and sufficient triangular condition characterizing the toroidal pseudodifferential operators on that preserve the positive-frequency cone $\mathbb…
On a Conjecture about Schauder-Basis Properties of the Daubechies Wavelet Packets
Morten Nielsen
Nielsen and Zhou (\emph{Mean size of wavelet packets}, ACHA 13 (2002), 22--34) conjectured that for every Daubechies filter of length at least four the associated wavelet packets f…
Stable decomposition of homogeneous Mixed-norm Triebel-Lizorkin spaces
Morten Nielsen
We construct smooth localized orthonormal bases compatible with homogeneous mixed-norm Triebel-Lizorkin spaces in an anisotropic setting on $\bR^d$. The construction is based on te…
Pseudodifferential operators on Mixed-Norm -modulation spaces
Morten Nielsen
Mixed-norm -modulation spaces were introduced recently by Cleanthous and Georgiadis [Trans.\ Amer.\ Math.\ Soc.\ 373 (2020), no. 5, 3323-3356]. The mixed-norm spaces $M^{s,α}_{\…
Unconditional bases for homogeneous -modulation type spaces
Morten Nielsen
In this article we construct orthonormal bases compatible with bi-variate homogeneous -modulation spaces and the associated spaces of Triebel-Lizorkin type. The construction is…
On a discrete transform of homogeneous decomposition spaces
Zeineb Al-Jawahri, Morten Nielsen
We introduce almost diagonal matrices in the setting of (anisotropic) discrete homogeneous Triebel-Lizorkin type spaces and homogeneous modulation spaces, and it is shown that the…