convention

This convention simplifies the appearance of results such as the inversion formula.

We adhere to the convention that $0/0=0$.

We adopt throughout the convention that compact spaces are Hausdorff.

We adopt the convention that the first coordinate $i$ increases as one goes downwards, and the second coordinate $j$ increases as one goes from left to right.

We make the convention that $f(Q)=i(Q)$.

We maintain the convention that implied constants depend only on $n$.

We regard (1) as a mapping of $S^2$ into $S^2$, with the obvious conventions concerning the point $\infty$.

By convention, we set $a(x,y)=0$ if no such spaces exist.

This sort of tacit convention is used throughout Gelfand theory.



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