Regularization and asymptotic expansion of certain distributions defined by divergent series
The regularization of the distribution ∑n=−∞∞δ(x−pn). which gives a regularized value to the divergent series ∑n=−∞∞φ(pn) is obtained in several spaces of test functions. The asymptotic expansion as ϵ→0+of series of the type ∑n=0∞φ(ϵ pn) is also obtained.
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
1995-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171295000949 |