As you can see, the way Peter describes Jesus and the salvation he brings corresponds with the views that we found in the Gospel according to Luke. Jesus' death does not bring an atonement (contrast Mark's Gospel). It is a miscarriage of justice. Nor does Jesus' resurrection, in itself, bring salvation. It instead demonstrates Jesus' vindication by God. How then do Jesus' death and resurrection affect a person's standing before God, according to this evangelistic speech in Acts? When people recognize how maliciously Jesus was treated, they realize their own guilt before God—even if they were not present at Jesus' trial. They have committed sins, and the death of Jesus is a symbol of the worst sin imaginable, the execution of the prophet chosen by God. The news of Jesus' death and vindication drives people to their knees in repentance. When they turn from their sins and join the community of Christian believers (through baptism), they are forgiven and granted salvation.
Thus salvation for Luke does not come through the death of Jesus per se; it comes through repentance and the forgiveness of sins.
