Shearlet Coorbit Spaces: Compactly Supported Analyzing Shearlets, Traces and Embeddings

We show that compactly supported functions with sufficient smoothness and enough vanishing moments can serve as analyzing vectors for shearlet coorbit spaces. We use this approach to prove embedding theorems for subspaces of shearlet coorbit spaces resembling shearlets on the cone into Besov spaces....

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Bibliographic Details
Published in:The Journal of fourier analysis and applications 2011-12, Vol.17 (6), p.1232-1255
Main Authors: Dahlke, Stephan, Steidl, Gabriele, Teschke, Gerd
Format: Article
Language:English
Subjects:
Abstract Harmonic Analysis
Approximations and Expansions
Fourier Analysis
Mathematical Methods in Physics
Mathematics
Mathematics and Statistics
Partial Differential Equations
Signal,Image and Speech Processing
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Summary:We show that compactly supported functions with sufficient smoothness and enough vanishing moments can serve as analyzing vectors for shearlet coorbit spaces. We use this approach to prove embedding theorems for subspaces of shearlet coorbit spaces resembling shearlets on the cone into Besov spaces. Furthermore, we show embedding relations of traces of these subspaces with respect to the real axes.
ISSN:1069-5869
1531-5851
DOI:10.1007/s00041-011-9181-6