Tauberian theorems for Laplace and Stieltjes transforms
✍ Scribed by U Stadtmüller
- Publisher
- Elsevier Science
- Year
- 1982
- Tongue
- English
- Weight
- 395 KB
- Volume
- 86
- Category
- Article
- ISSN
- 0022-247X
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📜 SIMILAR VOLUMES
The notion of quasiasymptotic expansion at the origin of tempered distributions supported by [0, a11 and the structural theorem for such distributions that have the quasiasymptotic expansion at the origin are given. As applications, the Abelian-type results for the distributional Stieltjes and Lapla
## Abstract In this paper we prove a Tauberian type theorem for the space __L__ $ ^1 \_{\bf m} $(H~__n__~ ). This theorem gives sufficient conditions for a __L__ $ ^1 \_{\bf 0} $(H~__n__~ ) submodule __J__ ⊂ __L__ $ ^1 \_{\bf m} $(H~__n__~ ) to make up all of __L__ $ ^1 \_{\bf m} $(H~__n__~ ). As a