Distributional Boundary Values of Harmonic Potentials in Euclidean   Half-space as Fundamental Solutions of Convolution Operators in Clifford   Analysis
  In the framework of Clifford analysis, a chain of harmonic and monogenic potentials in the upper half of Euclidean space $\mR^{m+1}$ was recently constructed, including a higher dimensional analogue of the logarithmic function in the complex plane. In this construction the distributional limits of these potentials at the boundary $\mR^{m}$ are crucial. The remarkable relationship between these distributional boundary values and four basic pseudodifferential operators linked with the Dirac and Laplace operators is studied. 
Fred Brackx, Hendrik De Bie and Hennie De Schepper
math.CA