[[Function Decomposition]] is a process of decomposing some [[Continuous Function]] [[Function]] $f$ as the sum of some other types of [[Function|Functions]], typically this is done by representing a [[Function]] $f$ in some [[Function|Functional]] [[Vector Space]] $V$ as some [[Linear Combination]] of [[Basis Vectors]] $\huge f(z) = \sum_{k} c_{k} \vec g_{k}(z) $