<p>This paper introduces a special affine shearlet transform, as a generalization of the <i>n</i>D-shearlet transform. For this purpose, we first study an <i>n</i>D-special affine Fourier transform and examine its fundamental properties for both complex and quaternion valued functions. Subsequently, we extend an existing convolution associated with the special affine Fourier transform to the multidimensional setup and establish the corresponding convolution theorem. Building on this framework, we introduce an <i>n</i>D-special affine shearlet transform (<i>n</i>DSAST) via the convolution and investigate its key properties, including Parseval’s relation and an inversion formula. Furthermore, we derive a range characterization theorem and establish a Heisenberg-type uncertainty principle. Finally, we extend the <i>n</i>DSAST to the setting of quaternion valued functions in a consistent manner.</p>