Let \({\mathcal F}\) be a locally free coherent sheaf of a reduced complex space of dimension n. Let E be a closed analytic subset. To compute local cohomology along E one has natural homomorphisms \(H^ i_ E(X;{\mathcal F})\to \lim_{\to}Ext^ i_{{\mathcal O}_ X}({\mathcal O}_ X/{\mathcal J}^ m,{\mathcal F})\) and duality homomorphisms \(H^ i_ E(X;{\mathcal F})\to (H^{n-i}(E,{\mathcal F}^*\otimes \omega_ X))'\) where \({\mathcal J}\) is an ideal sheaf defining E and \(\omega_ X\) denotes the dualizing sheaf. The aim of this note is to prove that above homomorphisms are isomorphisms for \(i