Question: 1.9. Given a function CJ on !Ji>+ that is finite, continuous, and decreasing to zero at infinity, find a CJ-finite measure fJ. on :~+ such

1.9. Given a function CJ on !Ji>+ that is finite, continuous, and decreasing to zero at infinity, find a CJ-finite measure fJ. on :~+ such that Vt > 0:

r CJ(t -s)fJ.(ds) = 1.

J[O.t]

[HINT: Assume CJ(O) = 1 and consider the dJ. 1 -CJ.]

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