International Journal of Mathematics and Mathematical Sciences
Volume 13 (1990), Issue 4, Pages 677-686
doi:10.1155/S016117129000093X

Abelian theorem for the Stieltjes transform of distributions

Abstract

First, a definition is given of the Stieltjes transform of distributions which contains some well-known. Then, a structural theorem for distributions having S-asymptotic is proved. This makes possible to prove two theorems of the Abelian type valued for Stieltjes transforms of distributions given in different ways.