2009/10/27 by Daniel H. T. Franco
Mathematics · #math.FA #msc:46F12 #msc:46F15 #msc:46F20
published as Portugaliae Mathematica 66, Fasc. 2, (2009) 175-190
arxiv created 2009/10/27 · arxiv updated 2009/12/01
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 à la Martineau.