2013/07/19 by Daniel Vera, Vera, Daniel
Mathematics · #41A05 #41A17 #42B35 #42C15 #42C40 #FOS: Mathematics #Functional Analysis (math.FA) #math.FA #msc:41A05 #msc:41A17 #msc:42B35 #msc:42C15 #msc:42C40
paper · pdf · doi:10.48550/arxiv.1307.5342
22 pages, 2 figures. Updated version with necessary notation and definitions included
arxiv created 2014/10/09 · arxiv updated 2014/10/10
Shearlets on the cone provide Parseval frames for L2. They also provide near-optimal approximation for the class E of cartoon-like images. Moreover, there are spaces associated to them other than L2 and there exist embeddings between these and classical spaces. We prove approximation properties of the cone-adapted shearlets in a more general context, namely, when the target function belongs to a class or space different to E and when the error is not necessarily measured in the L2-norm but in a much wider family of smoothness space of high anisotropy.