Question

How to do Fourier series, deduce question?

score 311 · Answer 1 · 2026-04-10 18:53:45

311

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How to do Fourier series, deduce question?

Published on 10 Apr 2026 - 18:53

score 43 · Answer 2 · 2026-04-16 22:53:05

43

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Show that $f(t) \star g(t) = \sum_{n = -\infty}^{\infty} {c_n d_n e^{j n w_0 t}}$

Published on 16 Apr 2026 - 22:53

score 112 · Answer 3 · 2026-04-12 09:27:25

112

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Solving general non-homogenous wave equation with homogenous boundary conditions

Published on 12 Apr 2026 - 9:27

score 363 · Answer 4 · 2026-04-11 21:38:49

363

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Fourier Sine transform of $\arctan(x/a)$.

Published on 11 Apr 2026 - 21:38

score 62 · Answer 5 · 2026-04-14 15:48:30

62

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Why does continuity on $\mathbb{T}$ imply that $f(-\pi) = f(\pi)$?

Published on 14 Apr 2026 - 15:48

score 797 · Answer 6 · 2026-04-14 15:25:02

797

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Calculate $\sum_{k=1}^{\infty}\frac{|\sin(k x)|}{1+k^2}$

Published on 14 Apr 2026 - 15:25

score 64 · Answer 7 · 2026-04-15 07:02:29

64

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Elementary proof of the Fourier series of $f(x)=x$

Published on 15 Apr 2026 - 7:02

score 63 · Answer 8 · 2026-04-13 03:07:56

63

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Are there any exotic examples of series expansions?

Published on 13 Apr 2026 - 3:07

score 70 · Answer 9 · 2026-04-24 12:20:43

70

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How to show that $c_n=\frac{2}{n\pi i}$ for odd $n$? (Fourier series)

Published on 24 Apr 2026 - 12:20

score 66 · Answer 10 · 2026-05-11 07:51:40

66

Views

Fourier expansion of (small perturbations of constant) loops

Published on 11 May 2026 - 7:51

score 564 · Answer 11 · 2026-04-17 08:58:19

564

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Convergence of Fourier series at discontinuities

Published on 17 Apr 2026 - 8:58

score 320 · Answer 12 · 2026-04-10 22:05:43

320

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Fourier series of $|x|$ on $[-\pi,\pi]$ and sum of series

Published on 10 Apr 2026 - 22:05

score 45 · Answer 13 · 2026-04-11 10:59:19

45

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Fourier Series Representation of Discontinuous Function

Published on 11 Apr 2026 - 10:59

score 102 · Answer 14 · 2026-04-09 10:25:15

102

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Is it possible to prove that $\sum_{k=1}^{\infty}\frac{\sin(kx)}{k^a}\geq 0$ for $a\geq 1$ and $x\in [0,\pi]$?

Published on 09 Apr 2026 - 10:25

score 51 · Answer 15 · 2026-04-15 21:20:00

51

Views

Fourier series of a piecewise function, is my coefficient $a_n$ correct?

Published on 15 Apr 2026 - 21:20

List Question

How to do Fourier series, deduce question?

Show that $f(t) \star g(t) = \sum_{n = -\infty}^{\infty} {c_n d_n e^{j n w_0 t}}$

Solving general non-homogenous wave equation with homogenous boundary conditions

Fourier Sine transform of $\arctan(x/a)$.

Why does continuity on $\mathbb{T}$ imply that $f(-\pi) = f(\pi)$?

Calculate $\sum_{k=1}^{\infty}\frac{|\sin(k x)|}{1+k^2}$

Elementary proof of the Fourier series of $f(x)=x$

Are there any exotic examples of series expansions?

How to show that $c_n=\frac{2}{n\pi i}$ for odd $n$? (Fourier series)

Fourier expansion of (small perturbations of constant) loops

Convergence of Fourier series at discontinuities

Fourier series of $|x|$ on $[-\pi,\pi]$ and sum of series

Fourier Series Representation of Discontinuous Function

Is it possible to prove that $\sum_{k=1}^{\infty}\frac{\sin(kx)}{k^a}\geq 0$ for $a\geq 1$ and $x\in [0,\pi]$?

Fourier series of a piecewise function, is my coefficient $a_n$ correct?

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