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Miklós Schweitzer
1970 Miklós Schweitzer
9
9
Part of
1970 Miklós Schweitzer
Problems
(1)
Miklos Schweitzer 1970_9
Source:
10/22/2008
Construct a continuous function
f
(
x
)
f(x)
f
(
x
)
, periodic with period
2
π
2 \pi
2
π
, such that the Fourier series of
f
(
x
)
f(x)
f
(
x
)
is divergent at x\equal{}0, but the Fourier series of
f
2
(
x
)
f^2(x)
f
2
(
x
)
is uniformly convergent on
[
0
,
2
π
]
.
[0,2 \pi].
[
0
,
2
π
]
.
P. Turan
function
real analysis
real analysis unsolved