Explicit estimates for the asymptotics of subexponential infinitely divisible distribution functions (Q1581444)

Let \(F(x)\) be an infinitely divisible distribution such that \(F(x)=0\) for \(x<0\), and let \(q(x)\) be the corresponding spectral function. In a special case, when \(q(x)\) has in a sense slow and regular decay, the author obtains order-sharp estimates on the rate of decay of the difference \(|1-F(x)-q(x)|\).