coorbit

English

Etymology

co- +‎ orbit

Noun

coorbit (plural coorbits)

1. (mathematics, physics) The dual of an orbit
   • 2016, Felix Voigtlaender, “Embeddings of Decomposition Spaces into Sobolev and BV Spaces”, in arXiv‎^[1]:

     As special cases, this includes embeddings into Sobolev spaces of (homogeneous and inhomogeneous) Besov spaces, ($\alpha$)-modulation spaces, shearlet smoothness spaces and also of a large class of wavelet coorbit spaces, in particular of shearlet-type coorbit spaces. Precisely, we will show that under extremely mild assumptions on the covering ${\mathcal {Q}}=\left(Q_{i}\right)_{i\in I}$, we have ${\mathcal {D}}\left({\mathcal {Q}},L^{p},Y\right)\hookrightarrow W^{k,q}(\mathbb {R} ^{d})$ as soon as $p\leq q$ and $Y\hookrightarrow \ell _{u^{\left(k,p,q\right)}}^{q^{\triangledown }}\left(I\right)$ hold.

Derived terms

• coorbit theory

Anagrams

• robotic