  Let A be a commutative unital C*-algebra and let S denote its Gelfand
spectrum. We give some necessary and sufficient conditions for a nondegenerate
representation of A to be unitarily equivalent to a multiplicative
representation on a space L^2(S, m), where m is a positive measure on the Baire
sets of S. We also compare these conditions with the multiplicity-free property
of a representation.
