Convergent series of coherent states

For a discrete subspace $\mathrm{\Gamma }$ of a homogeneous space $X$ and a positive definite reproducing kernel Hilbert space $\mathcal{H}(X)$, a convergence proof is given for series of partial Whitney functions over $\mathrm{\Gamma }$ that arise in the span of coherent states in $\mathcal{H}(X)$.