California Code, Government Code - GOV § 85317

(a) Notwithstanding subdivision (a) of Section 85306, a candidate for elective state, county, or city office may carry over contributions raised in connection with one election for elective state, county, or city office to pay campaign expenditures incurred in connection with any subsequent election for the same elective state, county, or city office.

(b) If a candidate receives a majority of the votes cast for an office at a primary election, so that the candidate is elected to the office without advancing to the general election, both of the following apply:

(c) This section does not apply in a jurisdiction in which the county or city imposes a limit on contributions pursuant to Section 85702.5.