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

被引：39

作者：

Dahlke, Stephan ^{[2
]}

Steidl, Gabriele ^{[1
]}

Teschke, Gerd ^{[3
]}

机构：

[1] Tech Univ Kaiserslautern, Fachbereich Math, D-67653 Kaiserslautern, Germany

[2] Univ Marburg, D-35032 Marburg, Germany

[3] Univ Appl Sci, Inst Computat Math Sci & Technol, Hsch Neubrandenburg, D-17033 Neubrandenburg, Germany

来源：

JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS | 2011年 / 17卷 / 06期

关键词：

Compactly supported shearlets; Coorbit space theory; Square-integrable group representations; Banach frames; Embedding of function spaces; Besov spaces; Trace theorems; INTEGRABLE GROUP-REPRESENTATIONS; ATOMIC DECOMPOSITIONS;

D O I：

10.1007/s00041-011-9181-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：1232 / 1255

页数：24

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