Mythic power is a much newer aspect of the game than being killed and resurrected. Those spells were never updated with respect to the new character feature.
So the question is, at what level is a mythic characters pool when they are killed and brought back to life on a different day?
Lets take a 3rd tier mythic character with no increases to the number of mythic power they have. They have 3+2*3=9 uses a day. This character used 4 during the day they died, so they had 5 remaining when they died. The next day the cleric has the right spell to bring them back to life, but what total is the mythic pool at? Is it 5 or back to full at 9?
Mythic power recharges differently than all other point pools.
Mythic characters can draw upon a wellspring of power to accomplish amazing deeds and cheat fate. This power is used by a number of different abilities. Each day, you can expend an amount of mythic power equal to 3 plus double your mythic tier (5/day at 1st tier, 7/day at 2nd, etc.). This amount is your maximum amount of mythic power. If an ability allows you to regain uses of your mythic power, you can never have more than this amount.
The ki pool is replenished each morning after 8 hours of rest or meditation; these hours do not need to be consecutive.
The pool refreshes once per day when the magus prepares his spells.
Each day, when preparing spells, the arcanist's arcane reservoir fills with raw magical energy, gaining a number of points equal to 3 + 1/2 her arcanist level. Any points she had from the previous day are lost.
So the other pools all have specific triggers on how they refill, but mythic just seems to be each day you have a free pool, no action required. So I feel that our character who has returned to life should now have a full mythic pool in which to draw power from.