Some uncertainty principles for the right-sided multivariate continuous quaternion wavelet transform. (English) Zbl 1537.42006
Summary: For the right-sided multivariate continuous quaternion wavelet transform (CQWT), we analyse the concentration of this transform on sets of finite measure. We also establish an analogue of Heisenberg’s inequality for the quaternion wavelet transform. Finally, we extend local uncertainty principle for a set of finite measure to CQWT.
MSC:
| 42A38 | Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type |
| 42B10 | Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type |
| 11R52 | Quaternion and other division algebras: arithmetic, zeta functions |
Keywords:
multivariate quaternion Fourier transform; multivariate continuous quaternion wavelet transform; signal recovery; Heisenberg-Pauli-Weyl inequality; local uncertainty principleReferences:
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