Spectral analysis via higher-dimensional shearlet transform: Spectral analysis via higher-dimensional...: H. Mejjaoli , B. Nefzi.
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| Titel: | Spectral analysis via higher-dimensional shearlet transform: Spectral analysis via higher-dimensional...: H. Mejjaoli , B. Nefzi. |
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| Autoren: | Mejjaoli, Hatem, Nefzi, Bochra |
| Quelle: | Journal of Pseudo-Differential Operators & Applications; Mar2025, Vol. 16 Issue 1, p1-33, 33p |
| Abstract: | In this paper, we introduce the localization operators associated to the higher-dimensional Shearlet transform HDST introduced earlier in Dahlke et al. (The continuous shearlet transform in arbitrary space dimensions, Philipps-Universität Marburg, (2008), J Fourier Anal Appl 16:340–364, 2010). We prove that they are in the trace class S 1 and we give a trace formula for them. Typical examples of localization operators are presented. Knowing the fact that the study of the time-frequency analysis is both theoretically interesting and practically useful, the second aim of this article is to explore two more aspects of the time-frequency analysis associated with the HDST including the spectral analysis associated with the concentration operators and the scalogram. [ABSTRACT FROM AUTHOR] |
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| Datenbank: | Complementary Index |
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