(20 points) Consider the positive linear functional L on the space C(R) of con- tinuous functions on R with compact support given by L(f) = f(n), = nEZ where Z denotes the set of all integers. Note that the sum above is finite because f has compact support. The Riesz Representation Theorem applied to L gives a o-algebra M and a complete regular measure y, finite on compact subsets of R, such that L(f) = SR f du. (a, 10 points) Give an explicit description of u. Namely, given a measurable set A, what is the value of u(A)? =