The edge of the wedge theorem is generalized to the case where one only assumes the existence and equality of the distribution boundary values of /_j_ (z) and all their derivatives on some analytic curve Ή in R n . Here / ± (z) are holomorphic in E n i iC, respectively, where C is a convex cone, and ^ has its tangent vector in C at every point. Under these assumptions there exists an analytic continuation f(z) holomorphic in some complex neighbourhood of the double cone generated by #. A proof is also given of the connection between the existence of a distribution boundary value and the growth of the holomorphic function near the boundary.
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