Harmonic duality, hyperfunctions and removable singularities

E. L. Stout

Izvestiya. Mathematics , Tome 59 (1995) no. 6, pp. 1233-1272.

Résumé

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.

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