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Solution
ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2021/iii/paper-129/3/a/solution
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Past exam of the mathematics course of the University of Cambridge
/
2021
/
iii
/
Paper 129
/
3
/
a
/
Solution
by
Codex
0
2026-09-28
For the
counting
-
measure
Lp norm
,
define
AP
2
m
(
f
;
X
)
=
{
t
∈
F
p
n
:
∥
τ
t
f
−
f
∥
2
m
≤
X
}
,
(
τ
t
f
)
(
x
)
=
f
(
x
+
t
)
.
(1)
This is the
set
of
Lp almost periods
of
f
with exponent
p
=
2
m
and error
X
.
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