Question

proof that a fourier series converges to a pi periodic function

score 36 · Answer 1 · 2018-09-23 03:49:44

36

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proof that a fourier series converges to a pi periodic function

Published on 23 Sep 2018 - 3:49

score 491 · Answer 2 · 2018-09-25 03:19:45

491

Views

Fourier Series integral proof

Published on 25 Sep 2018 - 3:19

score 116 · Answer 3 · 2018-09-27 03:38:11

116

Views

Proving that $\sum_{n=1}^{\infty}\frac{(-1)^{n+1}}{4n^{2}-1}=\frac{\pi -2}{4}$

Published on 27 Sep 2018 - 3:38

score 30 · Answer 4 · 2018-09-27 14:06:48

30

Views

$L^1$-convergence

Published on 27 Sep 2018 - 14:06

score 1.9k · Answer 5 · 2018-09-29 19:32:22

1.9k

Views

Proving that $\sum_{n=1}^{\infty}\frac{(-1)^{n+1}}{n^{2}}=\frac{\pi^{2}}{12}$

Published on 29 Sep 2018 - 19:32

score 307 · Answer 6 · 2018-09-29 20:23:50

307

Views

"Bad" Fourier Series derivation

Published on 29 Sep 2018 - 20:23

score 162 · Answer 7 · 2018-09-30 01:08:25

162

Views

If $f$ is $2\pi$-periodic and $C^{k}$, $\hat{f}(n)=O\left(\frac{1}{|n|^{k}}\right)$ as $n\rightarrow\infty$

Published on 30 Sep 2018 - 1:08

score 1.6k · Answer 8 · 2026-03-25 12:48:36

1.6k

Views

What is the relation between separation of variables and the eigenfunctions and eigenvalues for PDEs?

Published on 25 Mar 2026 - 12:48

score 83 · Answer 9 · 2018-10-01 08:20:25

83

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changes the sign of a continuous $f(x)$ with period 2$\pi$ at least 2n+2 times on a interval $[a,b]$ with $b-a>2\pi$

Published on 01 Oct 2018 - 8:20

score 80 · Answer 10 · 2018-10-03 04:24:48

80

Views

Find coefficient of fourier series knowing the series for a similar function

Published on 03 Oct 2018 - 4:24

score 115 · Answer 11 · 2026-03-25 02:56:54

115

Views

Theta function equation

Published on 25 Mar 2026 - 2:56

score 1.9k · Answer 12 · 2018-10-03 15:01:48

1.9k

Views

Using Fourier Analysis to solve Basel Problem

Published on 03 Oct 2018 - 15:01

score 108 · Answer 13 · 2018-10-03 17:34:02

108

Views

Does The Fourier Series of $\sin(px)$ uniformly converges when $p \notin \Bbb Z$

Published on 03 Oct 2018 - 17:34

score 828 · Answer 14 · 2026-03-26 20:40:03

828

Views

Fourier-Bessel Series for $f(x)=1-x$

Published on 26 Mar 2026 - 20:40

score 29 · Answer 15 · 2018-10-06 21:17:09

29

Views

Why a DFT of 2 senes is very noisy even with frequence sampling 5 times bigger?

Published on 06 Oct 2018 - 21:17

List Question

proof that a fourier series converges to a pi periodic function

Fourier Series integral proof

Proving that $\sum_{n=1}^{\infty}\frac{(-1)^{n+1}}{4n^{2}-1}=\frac{\pi -2}{4}$

$L^1$-convergence

Proving that $\sum_{n=1}^{\infty}\frac{(-1)^{n+1}}{n^{2}}=\frac{\pi^{2}}{12}$

"Bad" Fourier Series derivation

If $f$ is $2\pi$-periodic and $C^{k}$, $\hat{f}(n)=O\left(\frac{1}{|n|^{k}}\right)$ as $n\rightarrow\infty$

What is the relation between separation of variables and the eigenfunctions and eigenvalues for PDEs?

changes the sign of a continuous $f(x)$ with period 2$\pi$ at least 2n+2 times on a interval $[a,b]$ with $b-a>2\pi$

Find coefficient of fourier series knowing the series for a similar function

Theta function equation

Using Fourier Analysis to solve Basel Problem

Does The Fourier Series of $\sin(px)$ uniformly converges when $p \notin \Bbb Z$

Fourier-Bessel Series for $f(x)=1-x$

Why a DFT of 2 senes is very noisy even with frequence sampling 5 times bigger?

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