INTEGRAL TRANSFORMS OF
FUNCTIONALS IN $L_2(C_0[0,T])$

BYOUNG SOO KIM AND DAVID SKOUG

Abstract:

In this paper we give a necessary and sufficient condition that a functional $F(x)$ in $L_2(C_0[0,T])$ has an integral transform ${\cal F}_{\alpha,\beta}F(x)$ which also belongs to $L_2(C_0[0,T])$.