Whether one counts Shabbat as one of the days of the mourning period, and whether Shabbat interrupts it: Moed Katan 19a, 23b
Keeping mourning practices which are conducted in private, on Shabbat: Moed Katan 23a-24a
Receiving recent news of a relative's death on Shabbat, in a case where by the end of the holiday it wil be in the category of "Distant News": Moed Katan 20b