Cal. Civ. Proc. Code § 903

In the event of the death of any person who would, if still alive, have a right of appeal, either the attorney of record representing the decedent in the court in which the judgment was rendered, or the executor or administrator of the estate of the decedent, may file a notice of appeal therefrom within the time within which the decedent could have filed such a notice if he had survived.