The iterates eventually reach the value 1.
The map U(t) takes values in some compact space G.
Each factor in (4) has absolute value 1 on T.
Every element of A has f-value 2. [= the value of f at this element is 2]
Then F is less than 1 in absolute value.
The terms of the series (1) decrease in absolute value and their signs alternate.
the largest k value
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