my condolences; my deepest sympathy
A formal, polite set phrase used to express sympathy to someone who has lost a loved one. Often used in writing or in person at funerals.
I am very sorry for your loss. Please accept my deepest condolences.
I offer my condolences and pray for the repose of their soul.
Noun meaning 'condolence' or 'sympathy'. お悔やみ申し上げます is the full polite phrase built from it.
Standard kanji-kana spelling for this set phrase.
Kana spelling of the first part; less common but still seen.
Polite phrase combining お悔やみ (condolence) with 申し上げます (humble form of 言う, 'to say').