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In the framework of Clifford analysis, a chain of harmonic and monogenicpotentials in the upper half of Euclidean space $\mR^{m+1}$ was recentlyconstructed, including a higher dimensional analogue of the logarithmicfunction in the complex plane. In this construction the distributional limitsof these potentials at the boundary $\mR^{m}$ are crucial. The remarkablerelationship between these distributional boundary values and four basicpseudodifferential operators linked with the Dirac and Laplace operators isstudied.

Distributional Boundary Values of Harmonic Potentials in Euclidean Half-space as Fundamental Solutions of Convolution Operators in Clifford Analysis