This can be stated in active form. Alternate translation: "May all of you and all of the people of Israel know this" (See: [[rc://en/ta/man/jit/figs-activepassive]])
Here the word "name" refers to power and authority. Alternate translation: "by the power of Jesus Christ of Nazareth" (See: [[rc://en/ta/man/jit/figs-metonymy]])
Here to raise up is an idiom for causing someone who has died to become alive again. Alternate translation: "whom God caused to live again" (See: [[rc://en/ta/man/jit/figs-idiom]])