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Time-frequency analysis via multivariate shearlet transform
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DOI：10.1080/10652469.2026.2654070.png)
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Abstract
En 中文
In this paper, we introduce the localization operators associated to the multivariate shearlet transform introduced earlier in Dahlke et al. (The continuous shearlet transform in arbitrary space dimensions. Philipps-Universit & auml;t Marburg; Preprint Nr. 2008-7. 2008, The continuous shearlet transform in arbitrary space dimensions. J Fourier Anal Appl. 2010;16:340-364). Particularly, we study the trace class properties of such operators and also demonstrate that they belong to the Schatten-von Neumann class. Nonetheless, special attention is paid to the boundedness and compactness of the localization operators associated to the multivariate shearlet transform on $ L<^>{p}(\mathbb {R}<^>n ) $ Lp(Rn), $ 1 \leq p \leq \infty $ 1 <= p <=infinity. Finally, typical examples of the proposed localization operators are presented.
Keywords:
Fourier transform
shearlet
multivariate shearlet transform
localization operators
interpolation
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