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Riesz-Fischer theorem
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Riesz-Fischer theorem
by
Ciro Santilli
32
Updated
2024-09-07
Created
1970-01-01
A measurable function defined on a closed interval is square integrable (and therefore in
L
2
) if and only if
Fourier series
converges in
L
2
norm the function:
lim
N
→
∞
∥
S
N
f
−
f
∥
2
=
0
(1)
Total articles:
1