A REPRESENTATION OF GENERALIZED STIELTJES TRANSFORAMABLE GENERALIZED FUNCTIONS

摘要

In this paper, the spaces J_(c,d) and its dual space J_(c,d)~1 are given. An extension of the generalized Stielitjes transformation to a certain space of generalized functions is given and a structure formula for a class of generalized stieltjes transformable generalized functions is obtained which shows that every element of the dual space J_(c,d)~1 is the linear combination of the finite order distributional derivative of continuous functions.