Holomorphic Extension Theorem for Tempered Ultrahyperfunctions

Details Holomorphic Extension Theorem for Tempered Ultrahyperfunctions Holomorphic Extension Theorem for Tempered Ultrahyperfunctions

2009-10-27

arxiv.org/abs/0910.5106v1

Portugaliae Mathematica 66, Fasc. 2, (2009) 175-190

Mathematics

Functional Analysis

Scientific paper

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.

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