California Code, Probate Code - PROB § 8003

(a) The hearing on the petition shall be set for a day not less than 15 nor more than 30 days after the petition is filed. At the request of the petitioner made at the time the petition is filed, the hearing on the petition shall be set for a day not less than 30 nor more than 45 days after the petition is filed. The court may not shorten the time for giving the notice of hearing under this section.

(b) The petitioner shall serve and publish notice of the hearing in the manner prescribed in Chapter 2 (commencing with Section 8100).