Whose nirvana is it anyway?

Allow me to take you on a little detour through Heidegger? He claims that "my death" is inalienably mine: that no one can die my death for me. I think this means that "my death" never arrives... That may sound weird, but if we view death as a complete extinction of the "person" or whatever makes them up, then the empirical instant that death begins necessarily goes unnoticed - as in I can have no cognition of "my death" or by proxy the time it occurs. **i.e.** It cannot be said that the event of my death is in any way only empircally real for me (because such a quality would never arrive): but who else dies for me? Which of course *isn't very Buddhist*... But it does make me wonder if a similar thing can be said about nirvanic extinction? Or is the true self of a Buddha his or her nirvana, such that it can be said the Buddha is no more, just not that he or she reached it?