  There is a canonical unitary transformation from $L^2(\R)$ onto the Fock
space $F^2$, called the Bargmann transform. The purpose of this article is to
translate some important results and operators from the context of $L^2(\R)$ to
that of $F^2$. Examples include the Fourier transform, the Hilbert transform,
Gabor frames, pseudo-differential operators, and the uncertainty principle.
