In this paper we will characterize the spaces of distributions of exponential growth with support in a proper convex cone by the heat kernel method. As application we can obtain the Paley-Wiener theorem for distributions of exponential growth supported by a proper convex cone and Edge-of-the-Wedge theorem for the space of the image by the Fourier-Laplace transform of them.
|ジャーナル||Publications of the Research Institute for Mathematical Sciences|
|出版物ステータス||Published - 2004 7|
ASJC Scopus subject areas