Question

Finding a function with Fourier expansion

score 78 · Answer 1 · 2026-04-09 08:02:31

78

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Finding a function with Fourier expansion

Published on 09 Apr 2026 - 8:02

score 281 · Answer 2 · 2026-04-13 02:34:59

281

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Fourier Series: integrating the square of a Fourier series between $[0,\pi]$

Published on 13 Apr 2026 - 2:34

score 159 · Answer 3 · 2026-04-15 17:16:16

159

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Using Parseval's theorem

Published on 15 Apr 2026 - 17:16

score 222 · Answer 4 · 2026-04-08 16:55:32

222

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3b1b Fourier Calculation

Published on 08 Apr 2026 - 16:55

score 349 · Answer 5 · 2026-04-11 08:56:07

349

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Meaning of complex conjugate

Published on 11 Apr 2026 - 8:56

score 115 · Answer 6 · 2026-04-14 12:23:41

115

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Fourier series: if $f$ is $C^\infty$ then $f(x) = s_n(x) + o(1/n^k) $ as $n\to \infty$.

Published on 14 Apr 2026 - 12:23

score 293 · Answer 7 · 2026-04-09 21:27:43

293

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Fourier Series of mod sinx

Published on 09 Apr 2026 - 21:27

score 261 · Answer 8 · 2026-04-14 19:20:38

261

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$ x= \pi / 2 - 4/ \pi \sum_{n=1}^{\infty} \frac{ \cos(2n-1) x } { (2n-1)^2}$

Published on 14 Apr 2026 - 19:20

score 92 · Answer 9 · 2026-04-16 14:11:00

92

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How to prove that $\log |\sin(x/2)| = -\log 2 -\sum_{n=1}^{\infty} \frac{\cos nx} {n} $ ( if $ x\neq 2 k\pi)$, $k$ is an integer

Published on 16 Apr 2026 - 14:11

score 124 · Answer 10 · 2026-04-14 08:04:06

124

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What is Riemann sum of this integral and using it to prove this

Published on 14 Apr 2026 - 8:04

score 103 · Answer 11 · 2026-04-09 23:39:19

103

Views

How to analyze the following complex number?

Published on 09 Apr 2026 - 23:39

score 53 · Answer 12 · 2026-04-11 13:41:25

53

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Characterization of Fourier Series of Compactly Supported Functions

Published on 11 Apr 2026 - 13:41

score 96 · Answer 13 · 2026-04-16 04:01:04

96

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$\lim_{n\to\infty} \int_0^1e^{2\pi inp(x)}=0$

Published on 16 Apr 2026 - 4:01

score 218 · Answer 14 · 2026-04-11 14:04:26

218

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Projection to positive Fourier coefficients

Published on 11 Apr 2026 - 14:04

score 98 · Answer 15 · 2026-04-15 12:30:29

98

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Fourier Series Scaling $\sum_{n=2}^\infty \frac {(-1)^{n+1}}{n^2-1}\cos {nt}=-2 \sum_{n=1}^\infty \frac {1}{4n^2-1}\cos {2nt}$

Published on 15 Apr 2026 - 12:30

List Question

Finding a function with Fourier expansion

Fourier Series: integrating the square of a Fourier series between $[0,\pi]$

Using Parseval's theorem

3b1b Fourier Calculation

Meaning of complex conjugate

Fourier series: if $f$ is $C^\infty$ then $f(x) = s_n(x) + o(1/n^k) $ as $n\to \infty$.

Fourier Series of mod sinx

$ x= \pi / 2 - 4/ \pi \sum_{n=1}^{\infty} \frac{ \cos(2n-1) x } { (2n-1)^2}$

How to prove that $\log |\sin(x/2)| = -\log 2 -\sum_{n=1}^{\infty} \frac{\cos nx} {n} $ ( if $ x\neq 2 k\pi)$, $k$ is an integer

What is Riemann sum of this integral and using it to prove this

How to analyze the following complex number?

Characterization of Fourier Series of Compactly Supported Functions

$\lim_{n\to\infty} \int_0^1e^{2\pi inp(x)}=0$

Projection to positive Fourier coefficients

Fourier Series Scaling $\sum_{n=2}^\infty \frac {(-1)^{n+1}}{n^2-1}\cos {nt}=-2 \sum_{n=1}^\infty \frac {1}{4n^2-1}\cos {2nt}$

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