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On Heisenberg and local uncertainty principles for the multivariate continuous quaternion Shearlet transform
In this paper, we generalize the continuous quaternion shearlet transform on \({\mathbb {R}}^{2}\) ...
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Boundedness and compactness of localization operators for Weinstein–Wigner transform
In this paper, we define and study the notion of localization operators associated with the Weinstein–Wigner transform. We prove that they are in the trace class \(S_1\)S1 and give a trace formula for them. At l...
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Uncertainty principles for the multivariate continuous shearlet transform
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 she...
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Uncertainty Principles For The Continuous Quaternion Shearlet Transform
In this paper, we present some new elements of harmonic analysis related to the continuous quaternion shearlet transform .The main objective of this article is to introduce the concept of the quaternionic Shea...
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Calderón’s reproducing formula and uncertainty principle for the continuous wavelet transform associated with the q-Bessel operator
In this paper, we present some new elements of harmonic analysis related to the q-Bessel Fourier transform introduced earlier in Dhaouadi (Bull Math Anal Appl 5(2):42–60, 2013), Dhaouadi et al. (J Inequal Pure Ap...
