Holomorphic continuation of functions from closed hypersurfaces with singular edges

Consider a bounded domain D in ℂ n such that its boundary contains a finite set of singular edges. We study the boundary behavior of the Bochner-Martinelli integral over such domains. As an application, we obtain generalizations of Hartogs-Bochner and Aizenberg-Kytmanov theorems on the holomorphic continuation of functions from the boundary into the domain.

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