What's $/$ in the context of Fourier transforms? E.g. $H/G$

Question

So in Wikipedia's article for Deconvolution, it's given that the deconvolution of

$$f * g = h$$

is

$$F = H/G$$

where $F, H, G$ are Fourier transforms of $f,g,h$.

But what does $/$ mean? Is it division? Then how to divide Fourier transform with a Fourier transform?

Answer 1

It is the usual (point-wise) division of two functions. The Fourier transform of a function is another function.

The result $F=H/G$ comes from the fact that the Fourier transform of a convolution is the product of the Fourier transforms, this is known as the Convolution theorem.