Inhomogeneous shearlet coorbit spaces
| Autor: | Lukas Sawatzki, Fabian Feise |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2017 |
| Předmět: |
Pure mathematics
Mathematics::Functional Analysis Applied Mathematics 010102 general mathematics Astrophysics::Instrumentation and Methods for Astrophysics Computer Science::Computation and Language (Computational Linguistics and Natural Language and Speech Processing) Numerical Analysis (math.NA) 010103 numerical & computational mathematics 01 natural sciences Time–frequency analysis Shearlet Signal Processing FOS: Mathematics Computer Science::General Literature Mathematics - Numerical Analysis 0101 mathematics Lp space Shearlet transform Information Systems Mathematics |
| Popis: | In this paper, we establish inhomogeneous coorbit spaces related to the continuous shearlet transform and the weighted Lebesgue spaces [Formula: see text] for certain weights [Formula: see text]. We present an inhomogeneous shearlet frame for [Formula: see text] which gives rise to a reproducing kernel [Formula: see text] that is not contained in the space [Formula: see text]. We show that the inhomogeneous shearlet coorbit spaces are Banach spaces by introducing a generalization of the approach of Fornasier, Rauhut and Ullrich. |
| Databáze: | OpenAIRE |
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