---

Author(s): Ijeoma E. Nwachukwu.

Volume/Issue: Volume 8, Issue 3 (2025)

Page No: 247-254

Journal: African Journal of Mathematics and Statistics Studies (AJMSS)

---

Abstract:

The characterisation of the space of Fréchet generalised functions was established with respect to the weak-⋆ topology, which confirms the completeness of the space, G_X, through the space of test functions , D(X). The isomorphism bridges the gap between the Fréchet space of test functions and the space of generalised functions.

Keywords:

Generalised Functions, Fréchet Spaces, Test Functions, Weak ⋆ -topology, Isomorphism.

No. of Downloads: 0