Holomorphic Extension Theorem for Tempered Ultrahyperfunctions

In this paper we are concerned with the space of tempered ultrahyperfunctions corresponding to a proper open convex cone. A holomorphic extension theorem (the version of the celebrated edge of the wedge theorem) will be given for this setting. As application, a version is also given of the principle of determination of an analytic function by its values on a non-empty open real set. The paper finishes with the generalization of holomorphic extension theorem `a la Martineau.