We have a machine here with a very similar or maybe identical ATI card and TV Tuner.
The tuner card works under Linux with the
bttv driver (the card says it has a 'BrookTree' chipset on it), and for software, I think it's using 'TV Time'. It took a tiny bit of fiddling, but now it works quite well.
In a console, (either as root or with sudo) type
lsmod and see if the bttv modules are in the list. if not, either
modprobe bttv or search /lib/modules/kernel/... on your system to see if they exist.
If they don't, and you need them, you'll hafta rebuild the kernel or install another one, with the V4L support and necessary modules for the card..
If the card does NOT need, bttv, or if it does but something else is the problem, type
lspci -vv and see exactly what your tuner card is called in that list (and if maybe it does have a driver associated with it), and turn to Google
for some advice, then come back and tell us what you find.