A comment on the approximation of signals by Gaussian functions

It is pointed out that an approximation property of Gaussian functions, derived in a recent work by J. Ben-Arie and K.R. Rao (see ibid., vol. 42, p. 402-13, June 1995), is a direct corollary to the work of Wiener (1933) on the closure of translations in L/sub 1/ and L/sub 2/. This observation not only simplifies the proof of the approximation property, but also renders the result applicable, in a more general setting, to other functions (not necessarily Gaussian).