List questions from fourier-series

Published on 25 Mar 2026 - 3:07

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Where does my attempt to use integration by parts on the coefficients of a Fourier series fail?

Published on 17 Feb 2018 - 3:44

448

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Fourier series analysis

Published on 22 Mar 2026 - 18:48

301

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Change of limits in this Fourier series?

Published on 18 Feb 2018 - 14:26

156

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$f(t)=\frac{\cos(\frac{3}{2}t)}{1+\cos^2(\frac{t}{4})}$ Find period and Fourier expansion

Published on 18 Feb 2018 - 19:33

173

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Fourier series for $f(x+4) = f(x)$, $f(x)=1$ for $x\in (0,2), f(x)=-1$ for $x \in (-2,0)$

Published on 20 Feb 2018 - 1:31

185

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Convolution of trigonometric polynomial $P$ with function $G$ such that $\widehat G(m)=m$

Published on 20 Feb 2018 - 13:09

213

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Solving for variable inside a sum

Published on 20 Mar 2026 - 19:54

91

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Fourier transform, series, distribution: $F\phi=\sum_{n \in \mathbb{Z}} \phi(n), ~~~~~ \phi \in \mathcal S(\mathbb{R})$

Published on 24 Mar 2026 - 22:18

1.3k

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Fourier coefficients for an arbitrary period, different forms?

Published on 22 Feb 2018 - 10:51

34

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show that $f\in C^{l}(\mathbb{T})$. given $\sum_n |\hat f(n)||n|^{l} <\infty$

Published on 23 Feb 2018 - 13:30

1.3k

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Laplace Transform of a Fourier Series

Published on 22 Mar 2026 - 7:24

748

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Find Fourier series for $f(x) = \sin(x)\cos(3x)$

Published on 28 Feb 2018 - 1:29

1.1k

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When is a Fourier series approximation "close enough"?

Published on 25 Mar 2026 - 7:40

49

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The problem of the formula of Fourier series

Published on 25 Mar 2026 - 6:04

List Question

An equality in Fourier analysis

Where does my attempt to use integration by parts on the coefficients of a Fourier series fail?

Fourier series analysis

Change of limits in this Fourier series?

$f(t)=\frac{\cos(\frac{3}{2}t)}{1+\cos^2(\frac{t}{4})}$ Find period and Fourier expansion

Fourier series for $f(x+4) = f(x)$, $f(x)=1$ for $x\in (0,2), f(x)=-1$ for $x \in (-2,0)$

Convolution of trigonometric polynomial $P$ with function $G$ such that $\widehat G(m)=m$

Solving for variable inside a sum

Fourier transform, series, distribution: $F\phi=\sum_{n \in \mathbb{Z}} \phi(n), ~~~~~ \phi \in \mathcal S(\mathbb{R})$

Fourier coefficients for an arbitrary period, different forms?

show that $f\in C^{l}(\mathbb{T})$. given $\sum_n |\hat f(n)||n|^{l} <\infty$

Laplace Transform of a Fourier Series

Find Fourier series for $f(x) = \sin(x)\cos(3x)$

When is a Fourier series approximation "close enough"?

The problem of the formula of Fourier series

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