Hawaii Revised Statutes Division 4. Courts and Judicial Proceedings § 602-57

(1) To hear and determine appeals from any court or agency when appeals are allowed by law;

(2) To entertain, in its discretion, any case submitted without suit when there is a question of law that could be the subject of a civil action or proceeding in the circuit court, or tax appeal court, and the parties agree upon the facts upon which the controversy depends; and

(3) To make or issue any order or writ necessary or appropriate in the aid of its jurisdiction, and in such case, any judge may issue a writ or an order to show cause returnable before the court.