In a book I am reading, the author writes the following:
Let a series be denoted as $\sum_{j=0}^{\infty} C_{j}\epsilon_{t-j}$, where the $C_{j}$ and $\epsilon_t$ are scalars.
Also, $C(z) =\sum_{j=0}^{\infty}C_{j} z^{j}$
Then, later on, quoting the author: "The z-transform of the sequence $\sum_{j=0}^{\infty} C_{j+1} \epsilon_{t-j}$ is given by the Weiner-Kolmogorov formula" :
$\left[\frac{C(z)}{z}\right]_{+} = $
$z^{-1}(C(z) - C_{0})$
I had to skip a line in the above because there's something odd going on with the latex translator. Anyway, I've googled for z-transform and found many results. I've also googled for annihilator and Weiner-Kolmogorov formula and found many results. But none of the results have explained how above is derived. Could someone explain it or does anyone know of a good reference that explains it. Thank you in advance.