On generalized Hilbert transforms and their interaction with the Radon transform in Clifford analysis

The present paper deals with the interaction between the multidimensional Hilbert transform and the Radon transform in Clifford analysis, both transforms being protagonists in multidimensional signal analysis theory. In an attempt to complete the picture, we consider in particular the action of the Radon transform on two types of generalized Hilbert operators, which have been constructed in the context of some well-established families of Clifford distributions.