It's my first time posting, but I'm a long time lurker.
I am trying to find information on different ways of converting a real-valued function into a vector of reals. The vector can be infinitely long. An example of this is a Taylor approximation, or a Fourier series approximation.
My question is then if there is a name for this type of procedure?
I know that a series is a close to what I'm looking for, but I am looking for some thing more general since a series is a simple sum,and that is not necessarily what I mean.
Thanks in advance!