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.
Cite this article
Masanori Suwa, Distributions of Exponential Growth with Support in a Proper Convex Cone. Publ. Res. Inst. Math. Sci. 40 (2004), no. 2, pp. 565–603DOI 10.2977/PRIMS/1145475815