Question

$f$ is smooth and periodic function,$\exists \lambda$ such that $f^{(4)}=\lambda f$ prove:$\exists \lambda$ such that $\lambda= (\frac{2\pi n}{T})^4$

score 120 · Answer 1 · 2026-04-01 14:56:17

120

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$f$ is smooth and periodic function,$\exists \lambda$ such that $f^{(4)}=\lambda f$ prove:$\exists \lambda$ such that $\lambda= (\frac{2\pi n}{T})^4$

Published on 01 Apr 2026 - 14:56

score 825 · Answer 2 · 2026-04-08 21:17:47

825

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Fourier expansion of absolute value of a periodic function

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score 128 · Answer 3 · 2026-04-12 23:04:18

128

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score 30.8k · Answer 4 · 2026-04-11 19:15:26

30.8k

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Published on 11 Apr 2026 - 19:15

score 492 · Answer 5 · 2015-07-30 07:08:10

492

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Find the Fourier series

Published on 30 Jul 2015 - 7:08

score 453 · Answer 6 · 2026-04-11 00:19:41

453

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score 36 · Answer 7 · 2026-04-13 07:03:31

36

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Strange inequality in the proof of differentiability of Fourier series

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score 496 · Answer 8 · 2026-04-13 07:15:57

496

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Is there a closed-form approximation to a band-limited sawtooth?

Published on 13 Apr 2026 - 7:15

score 151 · Answer 9 · 2026-04-11 10:24:43

151

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Published on 11 Apr 2026 - 10:24

score 211 · Answer 10 · 2026-04-13 15:10:21

211

Views

Fourier series expansion of $x(t) = \sum\nolimits_{z \in \mathbb{Z}} (-1)^z \delta(t - 2z)$

Published on 13 Apr 2026 - 15:10

score 253 · Answer 11 · 2026-04-11 19:09:50

253

Views

A proof of a known identity using Fourier series

Published on 11 Apr 2026 - 19:09

score 2.2k · Answer 12 · 2015-08-05 14:45:48

2.2k

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Fourier transform of $f(x)=x$ if $0<x\leq 1$ and $f(x)=0$ otherwise

Published on 05 Aug 2015 - 14:45

score 242 · Answer 13 · 2015-08-06 08:01:22

242

Views

Find this Limit (Fourier series)

Published on 06 Aug 2015 - 8:01

score 59 · Answer 14 · 2026-04-12 09:45:00

59

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Published on 12 Apr 2026 - 9:45

score 61 · Answer 15 · 2026-04-11 10:59:11

61

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fourier series expansion show that:

Published on 11 Apr 2026 - 10:59

List Question

$f$ is smooth and periodic function,$\exists \lambda$ such that $f^{(4)}=\lambda f$ prove:$\exists \lambda$ such that $\lambda= (\frac{2\pi n}{T})^4$

Fourier expansion of absolute value of a periodic function

Differentiation Property of Fourier Transform

"Every function can be represented as a Fourier series"?

Find the Fourier series

Intriguing Poisson sum with hyperbolic function

Strange inequality in the proof of differentiability of Fourier series

Is there a closed-form approximation to a band-limited sawtooth?

What functions stem from Fourier Series with rational-only coefficients?

Fourier series expansion of $x(t) = \sum\nolimits_{z \in \mathbb{Z}} (-1)^z \delta(t - 2z)$

A proof of a known identity using Fourier series

Fourier transform of $f(x)=x$ if $0<x\leq 1$ and $f(x)=0$ otherwise

Find this Limit (Fourier series)

Different approaches for evaluating a series

fourier series expansion show that:

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