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 Shearlet transform and investigate its different properties using the machinery of quaternion Fourier transforms and quaternion convolution. Moreover, we derive the classical Heisenberg–Pauli–Weyl inequality. Last, we study quaternion shearlet transform on subset of finite measure.