Uncertainty principles for the multivariate continuous shearlet transform

  • Bochra NefziEmail author
  • Kamel Brahim
  • Ahmed Fitouhi


In this paper, we present some new elements of harmonic analysis related to multivariate continuous shearlet transform introduced earlier in Dahlke et al. (J Fourier Anal Appl 16:340–364, 2010; The continuous shearlet transform in arbitrary space dimensions, Philipps-Universität Marburg, Marburg, 2008). Thus, some results (Parseval’s formula, inversion formula, etc.) are established. Next, we prove an analogue of Heisenberg’s inequality for shearlet transform. Last, we study shearlet transform on subset of finite measures.


Fourier transform Shearlet The multivariate continuous shearlet transform Uncertainty principle Heisenberg uncertainty inequality Local uncertainty inequality 

Mathematics Subject Classification

33B15 33D05 44A20 42A38 42B10 



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Authors and Affiliations

  1. 1.Faculty of Sciences of TunisUniversity of Tunis El ManarTunisTunisia
  2. 2.Department of Mathematics, College of ScienceUniversity of BishaBishaSaudi Arabia

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