Cal. Health & Saf. Code § 18052.5
The department may issue a certificate of convenience to the executor, executrix, administrator, or administratrix of the estate of a deceased holder of a validly outstanding license issued under this part, or, if no executor, executrix, administrator, or administratrix has been appointed and until a certified copy of an order making the appointment is filed with the department, to the surviving spouse or another heir otherwise entitled to conduct the business of the deceased. The certificate shall permit that person to exercise the privileges granted by the license for a period of one year from and after the date of death. The department may issue necessary one-year renewals of that certificate pending, but not later than, disposal of the business and qualification of the vendee of the business or the surviving spouse, heir, or other persons for the license under the provisions of this part. The department may restrict or condition the certificate of convenience or the license and attach to the exercise of the privileges thereunder those terms and conditions as it determines are necessary for the protection of the public.
Ca. Health and Saf. Code § 18052.5