Quasi-Asymptotic Behavior at the Origin of Tempered Operators
Keywords:
Abelian theorem, Mikusiński operator, quasi-asymptotic behavior, Stieltjes transform, tempered distribution, tempered operatorAbstract
A subspace of Mikusinski operators, which was introduced by K. Yosida, is used to investigate quasi-asymptotic behavior at the origin in one dimension. As an application, an Abelian theorem of the initial type for the Stieltjes transform is established.