California Code, Code of Civil Procedure - CCP § 166

(1) Grant all orders and writs that are usually granted in the first instance upon an ex parte application, and hear and dispose of those orders and writs, appoint referees, require and receive inventories and accounts to be filed, order notice of settlement of supplemental accounts, suspend the powers of personal representatives, guardians, or conservators in the cases allowed by law, appoint special administrators, grant letters of temporary guardianship or conservatorship, approve or reject claims, and direct the issuance from the court of all writs and process necessary in the exercise of their powers in matters of probate.

(2) Hear and determine all motions made pursuant to Section 657 or 663.

(3) Hear and determine all uncontested actions, proceedings, demurrers, motions, petitions, applications, and other matters pending before the court other than actions for dissolution of marriage, for legal separation, or for a judgment of nullity of the marriage, and except also applications for confirmation of sale of real property in probate proceedings.

(4) Hear and determine motions to tax costs of enforcing a judgment.

(5) Approve bonds and undertakings.