List questions from fourier-series

Published on 02 Mar 2018 - 21:21

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Find harmonic function on the unit disk

Published on 25 Mar 2026 - 4:34

398

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Fourier series with "Riemann" coefficients

Published on 04 Mar 2018 - 16:47

43

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For any continuous function $f:S^1\to\mathbb{C}$ prove that $\|\sum\hat{f}(n)r^{|n|}e_n-f\|_{\infty}\to 0$ as $r\to 1$.

Published on 04 Mar 2018 - 21:58

75

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Doubt Regarding Termwise differentiation of Fourier Series

Published on 05 Mar 2018 - 10:59

28

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The set of those harmonics is the basis for all periodic signals

Published on 25 Mar 2026 - 6:06

5.8k

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Fourier cosine series of $e^x$

Published on 05 Mar 2018 - 19:33

180

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Using Fourier Series to represent an irregular heartbeat

Published on 25 Mar 2026 - 7:43

197

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Explicit summation of a cosine series

Published on 22 Mar 2026 - 13:21

325

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Evaluating Fourier Series

Published on 06 Mar 2018 - 17:05

46

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$1\ne\sum_{n\ne0}\frac{(-1)^{n+1}}{in}\big(e^{in\theta}\big)'=\sum_{n\ne0}(-1)^{n+1}e^{in\theta}$

Published on 07 Mar 2018 - 13:20

54

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Write $f$ as a series of sines .

Published on 07 Mar 2018 - 15:49

83

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Proving $\frac{π^2}8=\sum\limits_{n=1}^\infty\frac1{(2n - 1)^2}$ using Fourier series

Published on 09 Mar 2018 - 12:56

366

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Fourier series for $a_k$

Published on 11 Mar 2018 - 16:54

24

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Can any Fourier series be interpreted as a (non-)linear regression model

Published on 12 Mar 2018 - 17:25

List Question

What's the Fourier Series for ln(x)?

Find harmonic function on the unit disk

Fourier series with "Riemann" coefficients

For any continuous function $f:S^1\to\mathbb{C}$ prove that $\|\sum\hat{f}(n)r^{|n|}e_n-f\|_{\infty}\to 0$ as $r\to 1$.

Doubt Regarding Termwise differentiation of Fourier Series

The set of those harmonics is the basis for all periodic signals

Fourier cosine series of $e^x$

Using Fourier Series to represent an irregular heartbeat

Explicit summation of a cosine series

Evaluating Fourier Series

$1\ne\sum_{n\ne0}\frac{(-1)^{n+1}}{in}\big(e^{in\theta}\big)'=\sum_{n\ne0}(-1)^{n+1}e^{in\theta}$

Write $f$ as a series of sines .

Proving $\frac{π^2}8=\sum\limits_{n=1}^\infty\frac1{(2n - 1)^2}$ using Fourier series

Fourier series for $a_k$

Can any Fourier series be interpreted as a (non-)linear regression model

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