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Shearlet Coorbit Spaces: Compactly Supported Analyzing Shearlets, Traces and Embeddings |
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| Authors: | Stephan Dahlke Gabriele Steidl Gerd Teschke |
| Institution: | 1. FB12 Mathematik und Informatik, Philipps-Universit?t Marburg, Hans-Meerwein Stra?e, Lahnberge, 35032, Marburg, Germany 2. Fachbereich f??r Mathematik, Technische Universit?t Kaiserslautern, E. Schr?dinger Str., 67653, Kaiserslautern, Germany 3. Institute for Computational Mathematics in Science and Technology, Hochschule Neubrandenburg??University of Applied Sciences, Brodaer Str. 2, 17033, Neubrandenburg, Germany |
| Abstract: | 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. |
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