On a discrete transform of homogeneous decomposition spaces

M Nielsen, Zeineb Al-Jawahri

Publikation: Working paperForskning

Abstrakt

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 class of almost diagonal matrices is closed under matrix multiplication.
We then connect the results to the continuous setting and show that the "change of frame" matrix for a pair of time-frequency frames, with suitable decay properties, is almost diagonal. As an application of this result, we consider a construction of compactly supported frame expansions for homogeneous decomposition spaces of Triebel-Lizorkin type and for the associated modulation spaces.
OriginalsprogEngelsk
UdgiverArXiv
Antal sider30
StatusUdgivet - 16 jun. 2020

Emneord

  • Decomposition space
  • anisotropic smoothness space
  • homogeneous space
  • modulation space
  • α-modulation space

Fingeraftryk Dyk ned i forskningsemnerne om 'On a discrete transform of homogeneous decomposition spaces'. Sammen danner de et unikt fingeraftryk.

Citationsformater