JournalsprimsVol. 40 , No. 2DOI 10.2977/prims/1145475815

Distributions of Exponential Growth with Support in a Proper Convex Cone

  • Masanori Suwa

    Sophia University, Tokyo, Japan
Distributions of Exponential Growth with Support in a Proper Convex Cone cover

Abstract

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.