Some Tauberian theorems for Schwartz distributions

Authors

Ricardo Estrada, Universidad de Costa Rica

Document Type

Article

Publication Date

1-1-2002

Abstract

We give a condition on a space of test functions A for the inclusion A ∩ A' ⊂ S to hold. These kinds of results are Tauberian theorems that guarantee that a generalized function of rapid distributional decay at infinity is a rapidly decreasing smooth function, that is, an element of S.

Publication Source (Journal or Book title)

Publicationes Mathematicae

First Page

1

Last Page

9

Recommended Citation

Estrada, R. (2002). Some Tauberian theorems for Schwartz distributions. Publicationes Mathematicae, 61 (1-2), 1-9. Retrieved from https://repository.lsu.edu/mathematics_pubs/311