Some Spectral Properties of Weighted Random Processes

Cover Some Spectral Properties of Weighted Random Processes
Some Spectral Properties of Weighted Random Processes
Harold S Shapiro
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This gives 00 72(. S)ds = C d ^(R)f(R), ^-00 where C is a constant and £ (oi) = sup £(c5-) .
° 0- >o Note that as oi -> oo . Hence, to establish (13) and thereby complete the proof, it suffices to construct a function E(ai) -> 00 which satisfies (ll) and is such that (Ik) lim e^(R)f(R)/f(co) = .
a>->oo Since f (co) is slowly varying, there exists a number p, np, n £jp\) cd . We now define R(u)) = p CD, "^n p^co > n, for 05

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