Abstract
We consider Fourier ultra-hyperfunctions and characterize them as boundary values of smooth solutions of the heat equation. Namely we show that the convolution of the heat kernel and a Fourier ultra-hyperfunction is a smooth solution of the heat equation with some exponential growth condition and, conversely that such smooth solution can be represented by the convolution of the heat kernel and a Fourier ultra-hyperfunction.
| Original language | English |
|---|---|
| Pages (from-to) | 381-398 |
| Number of pages | 18 |
| Journal | Tokyo Journal of Mathematics |
| Volume | 25 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 2002 |
| Externally published | Yes |
ASJC Scopus subject areas
- Mathematics(all)