Distributions having compact support are represented as the boundary value of Cauchy and Poisson integrals corresponding to tubular radial domains TC in ℂn where C is an open convex cone. The Cauchy integral of U e ɛ′ is shown to be an analytic function in TC which satifies a certain boundedness condition. All analytic functions in TC having this boundedness condition have a distributional boundary value which can be used to determine an ɛ′ distribution. The results are extended to vector valued distributions.