For example, my father is a member/publisher of an adsense and he died... Can I report to google with proof and transfer it to my name? What if my name was suspended before? Will google consider this case?
Google won't change at any case. If you have valid proof then (you must be able to convince them) they just ask them to close the account and again apply for the new account on same site.
Sorry to hear that buddy. I would email them and see , youve nothing to loose. But if youve been suspended before I would wonder...