[see also: it]
This is because the factor $M$ satisfies ......
This is why no truncation is required here.
(This is where the local convexity of $E$ is needed.)
This says that the real part of $g$ is ......
We shall assume that this is the case.
For $K$, this is no longer true. [ Compare: For $K$, it is no longer true that ......]
In order to justify this, we now show that ......
We leave this as an exercise.
In this and the other theorems of this section, the $X_n$ are any independent random variables with a common distribution.
In more detail, the assertion is this: if ......
Adding over $n=0,1,...$ leads to this result: ......
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