| Full text | |
| Author(s): |
Catuogno, Pedro
;
Molina, Sandra
;
Olivera, C.
Total Authors: 3
|
| Document type: | Journal article |
| Source: | MONATSHEFTE FUR MATHEMATIK; v. 184, n. 1, p. 51-75, SEP 2017. |
| Web of Science Citations: | 0 |
| Abstract | |
In this paper we study and characterize expansions of distributions in the Zemanian spaces, H-mu and its dual H'(mu) (mu >= -1/2) with respect to Laguerre functions. We obtain as applications of this result, the kernel Theorem and a structure Theorem for H'(mu). We also introduce a new algebra of generalized functions in the sense of J. F. Colombeau such that it satisfies interesting properties involving the Hankel transformation and Hankel convolution. (AU) | |
| FAPESP's process: | 15/07278-0 - Stochastic dynamics: analytical and geometrical aspects with applications |
| Grantee: | Paulo Regis Caron Ruffino |
| Support Opportunities: | Research Projects - Thematic Grants |
| FAPESP's process: | 15/04723-2 - Topics in stochastic partial diferential equations |
| Grantee: | Christian Horacio Olivera |
| Support Opportunities: | Regular Research Grants |