Is there any easy way of building up what I'd call a ring of
exponentials (maybe there's a better word)?  For example I'd like to
work in the ring QQ[[2^j for j in Integers()]]: the ring with
coefficients in Q and elements 2^j where j is an integer (or possibly
just a non-negative integer).  Such things arise naturally when
considering difference equations.  Such a ring should also have a
difference operator Delta(f)(x) := f(x+1)-f(x).  In fact the ring that
I mentioned might also be embedded in an even bigger ring -- of all
functions

f: Integers() --> QQ

Has anybody built such a thing?

Victor

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