remit

The area of responsibility, authority, or scope of a person or group.

"That issue falls outside my remit."

To send a case or matter back to a lower authority for reconsideration.

"The case was remitted to the lower court."

To send money, often as payment for goods or services.

"Please remit payment by Friday."

To cancel or reduce a debt, punishment, or penalty.

"The court remitted his fine."