Harmonic duality, hyperfunctions and removable singularities

This article is devoted to the study of the boundary behavior of holomorphic functions on strictly pseudoconvex domains with real-analytic boundary in $\mathbb C^N$ and to the theory of removable sets for such boundary values. The work depends on some preliminary results on the boundary values of harmonic functions on domains in $\mathbb R^N$ with real-analytic boundaries and on a new result concerning the dual space of all such functions on a given domain.