Suppose there is original complex-valued $f(t)$ with $t$ ranging from $-\infty$ to $\infty$. It is possible obtain samples from original $f(t)$ at every $t$ with some negligible error.
If one downsamples $f(t)$ (with sampling interval $T$), one is effectively sampling from an aliased version $f_a(t)$ of $f(t)$. It is possible to reconstruct/interpolate samples of $f_a(t)$ at higher sampling rates by using downsampled samples, but this comes with heavy costs especially if upsampling ratio is very high.
Does full sampling access to original $f(t)$ aid in interpolation of $f_a(t)$?