Holomorphic Extension Theorem for Tempered Ultrahyperfunctions
Functional Analysis
2009-10-28 v1
Abstract
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.
Cite
@article{arxiv.0910.5106,
title = {Holomorphic Extension Theorem for Tempered Ultrahyperfunctions},
author = {Daniel H. T. Franco},
journal= {arXiv preprint arXiv:0910.5106},
year = {2009}
}