  We analyse sampling and average sampling techniques for fractional spline
subspaces of $L^{2}({\mathbb{R}}).$ Fractional B-splines $\beta_{\sigma}$ are
extensions of Schoenberg's polynomial splines of integral order to real order
$\sigma > -1$. We present the interpolation with fundamental splines of
fractional order for $\sigma \geq 1$ and the average sampling with fundamental
splines of fractional order for $\sigma \geq \frac{3}{2}.$ Further, we
generalise Kramer's lemma in the context of local average sampling.
