Put apricots, water, sugar, and peel in a small heavy pot. Bring to a boil, and then turn heat to low, and simmer gently until mixture becomes syrupy, about 35 minutes.
In a blender or food processor, purée the apricot mixture. Chill for a few hours. Then gently fold in rose water and the whipped cream. Spread on a serving dish and decorate with some more cream a