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.
| Original language | English |
|---|---|
| Pages (from-to) | 565-603 |
| Number of pages | 39 |
| Journal | Publications of the Research Institute for Mathematical Sciences |
| Volume | 40 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 2004 Jul |
| Externally published | Yes |
Keywords
- Distributions of exponential growth
- Laplace transform
- Paley-Wiener theorem
ASJC Scopus subject areas
- Mathematics(all)