List questions from fourier-series

Published on 18 Apr 2026 - 10:23

178

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$\int_{-\infty}^{\infty}f(\xi)d\xi = \lim_{\delta \to 0 }\sum_{n=-\infty}^{\infty}\delta f(\delta n)$?

Published on 16 Apr 2026 - 2:40

281

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Does $\sum_{n=0}^\infty\frac{\sin(2n+1)}{2n+1}=0$?

Published on 15 Apr 2026 - 11:57

253

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What are the connections between spectral expansion and differential operator?

Published on 08 Apr 2026 - 17:50

228

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Expansion in Fourier series involving a complicated "argument"

Published on 11 Apr 2026 - 0:18

255

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Approximation using a Fourier transform with low pass filter

Published on 11 Apr 2026 - 17:39

1.5k

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Type of convergence of Fourier series of a function

Published on 15 Apr 2026 - 12:43

102

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Analysis: Show that $f(x)$ converges, pointwise and uniformly on $\mathbb{R}$ to a differentiable function $f$ that satisfies:

Published on 14 Apr 2026 - 20:55

121

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Fourier series inequality with polynomial

Published on 09 Apr 2026 - 8:06

949

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Fourier Series on a 2-Torus

Published on 11 Apr 2026 - 11:14

316

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Eigenfunction of the $n$-torus

Published on 14 Apr 2026 - 14:20

286

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A question related to Wave Equation

Published on 12 Apr 2026 - 6:45

1.2k

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Solve a differential equation using Fourier series

Published on 11 Apr 2026 - 18:23

1k

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Prove a function has $k$ continuous derivatives from its Fourier series

Published on 07 Apr 2026 - 22:44

80

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Integral of a special Fourier Serie into the hipercube of s dimension.

Published on 16 Apr 2026 - 16:04

List Question

Show that the function is constant

$\int_{-\infty}^{\infty}f(\xi)d\xi = \lim_{\delta \to 0 }\sum_{n=-\infty}^{\infty}\delta f(\delta n)$?

Does $\sum_{n=0}^\infty\frac{\sin(2n+1)}{2n+1}=0$?

What are the connections between spectral expansion and differential operator?

Expansion in Fourier series involving a complicated "argument"

Approximation using a Fourier transform with low pass filter

Type of convergence of Fourier series of a function

Analysis: Show that $f(x)$ converges, pointwise and uniformly on $\mathbb{R}$ to a differentiable function $f$ that satisfies:

Fourier series inequality with polynomial

Fourier Series on a 2-Torus

Eigenfunction of the $n$-torus

A question related to Wave Equation

Solve a differential equation using Fourier series

Prove a function has $k$ continuous derivatives from its Fourier series

Integral of a special Fourier Serie into the hipercube of s dimension.

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