Tauberian Problems for the $n$-Dimensional Laplace Transform.
نویسندگان
چکیده
منابع مشابه
A generalization of Littlewood's Tauberian theorem for the Laplace transform
In this paper we will consider a Tauberian problem of the following kind: Suppose that and are two functions of bounded variation on any nite interval 0; T]; T > 0, and suppose that (0) = (0) = 0. If furthermore Z 1 0 e ?st dd(t) Z 1 0 e ?st dd(t); s ! 0+; (0.1) where satisses some kind of regularity condition and satisses a Tauberian condition, then (t) (t); t ! 1: (0.2) Here (0.2) means that ...
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ژورنال
عنوان ژورنال: MATHEMATICA SCANDINAVICA
سال: 1966
ISSN: 1903-1807,0025-5521
DOI: 10.7146/math.scand.a-10794