[see also: assert, state, tell]
When $n=0$, (7) just amounts to saying that ......
This is the same as saying that ......
To say that $A$ is totally disconnected means that ......
Thus $f$ is bounded, and (1) says that $f(a)=0$.
This says (roughly speaking) that the real part of $g$ is ......
Let us state once more, in different words, what the preceding result says if $p=1$.
We now exploit the relation (15) to see what else we can say about $G$.
We cannot hope to say anything about the structure of each isotropy factor as a system in its own right.
If we adjoin a third congruence to $F$, say $a\equiv b$, we obtain ......
In this case it is advantageous to transfer the problem to (say) the upper half-plane.
Let $D$ be a disc (with centre at $a$ and radius $r$, say) in $C$.
Such cycles are said to be homologous (written $c\sim c'$). [Not: “are said homologous”]
The usefulness and interest of this correspondence will of course be enhanced if there is a way of returning from the transforms to the functions, that is to say, if there is an inversion formula.
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