expression
my condolences; I am sorry for your loss
A very formal and polite expression of sympathy used at funerals or when hearing of someone's death. Often used in set phrases; the shorter ご愁傷様です is also common.
この度はご愁傷様でございます。
Please accept my deepest condolences on your recent loss.
お母様がお亡くなりになったと伺い、ご愁傷様でございます。
I heard that your mother passed away; my heartfelt condolences.