Conn. Gen. Stat. § 52-267: Judge dying or ceasing to hold office at the time of decision; cause remanded to court rendering decision.

If, at the time of the decision upon an appeal from the judgment of a judge, the judge rendering the judgment has died, ceased to hold office or become incapable of performing his duties, the Supreme Court or Appellate Court, as the case may be, shall remand the action to the court in which the decision was filed. The court shall proceed to final judgment thereon and issue execution for the costs thereof in the same manner as if the action had been tried and decided by such court.