Wiener Tauberian theorems for vector-valued functions.
Parthasarathy, K., Varma, Sujatha (1994)
International Journal of Mathematics and Mathematical Sciences
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This article is a survey of some Tauberian theorems obtained recently in connection with work on asymptotic behaviour of semigroups of operators on Banach spaces. The results in operator theory are described in [6], where we made little attempt to show the Tauberian aspects. At the end of this article, we will give a sketch of the connections between the results in this article and in [6]; for details, the reader can turn to the original papers. In this article, we make no attempt...