Artículos de revistas
Hermite expansions and products of tempered distributions
Registro en:
Integral Transforms And Special Functions. Taylor & Francis Ltd, v. 18, n. 4, n. 233, n. 243, 2007.
1065-2469
WOS:000245077800001
10.1080/10652460601041169
Autor
Catuogno, P
Molina, S
Olivera, C
Institución
Resumen
The space of tempered distributions S' can be realized as a sequence spaces by means of the Hermite representation theorem. In this article, we introduce and study two new products of tempered distributions based on this Hermite representation theorem. In particular, we obtain the products [H]delta = delta/2, [delta]vp(1/ x) = -delta' and [delta((r))]vp(1/x) = -(delta((r+1)))/(r + 1) for even r. 18 4 233 243