What is the language of the Paradise?

I was wondering what the language of the people is in the paradise (Jannah)? Is that a new language or it is one of the current world languages? As another related question, and actually on the other hand, I wander what the language of the hell (Jahanam) is and "Is it the same, as the language of the Jannah? *Note: The authentic hadiths (traditions) would be appreciated (as well as the holy Qur'an verses).*