you can use that on any domain. domain is not the issue, its the content and whether the site itself is compliant with adsense TOS or not
CMIIW, tzman asking about new adsense product from google not adsense for content nor search. btw, AFAIK, you can use main domain. in the a.f.d tos explained that the main www and root domain have to be directed to google. subdomains can be used for other purposed. but the doc not explaining about using subdomain to be parked.
You can use any domains, but anything but a .com or .net name people will not give it as much credibility.