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Published online: 2009-06-30
Holomorphic extension theorem for tempered ultrahyperfunctionsDaniel H. T. Franco (1) Universidade Federal de Viçosa, Brazil
In this article 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 article finishes with the generalization of holomorphic extension theorem à la Martineau.
Keywords: Tempered ultrahyperfunctions, Edge-of-the-Wedge Theorem, Fourier–Laplace transform
Franco Daniel H.: Holomorphic extension theorem for tempered ultrahyperfunctions. Port. Math. 66 (2009), 175-190. doi: 10.4171/PM/1839