List questions from fourier-series

Published on 06 May 2026 - 1:22

131

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Fourier Series and Countability

Published on 11 Apr 2026 - 10:59

58

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$\exp(a_0 + a_1 \sin(x) + a_2 \sin(2x) + ...) = b_0 + b_1 \sin(x) + b_2 \sin(2x) + b_3 \sin(3x) + c_1 \cos(x) + c_2 \cos(2x) + ...$?

Published on 17 Apr 2026 - 6:22

62

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Solve non-linear differential equations

Published on 13 Apr 2026 - 4:45

132

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alternate proof for $\sum_{n\ge 1}\frac{1}{n^2}=\frac{\pi^2}{6}$

Published on 25 Apr 2026 - 15:12

78

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Coefficients of Fourier series such that $\sum_{n=1}^{n=\infty}c^2_{n}<\infty$

Published on 06 May 2026 - 1:22

75

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Uniform bound of almost periodic functions

Published on 09 Apr 2026 - 6:17

161

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Inequality regarding L^6 norm of a trigonometric polynomial

Published on 15 Apr 2026 - 6:24

755

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Fourier transform of $\operatorname{sech}^2(x)$

Published on 11 Apr 2026 - 23:26

81

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Intuitive explanation of Fourier series existing for periodic functions

Published on 10 Apr 2026 - 16:17

730

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Fourier Sine Series and Fourier Cosine Series

Published on 08 Apr 2026 - 22:59

93

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Fourier series decomposition problem.

Published on 15 Apr 2026 - 13:49

101

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Is it possible to represent all odd and even functions by a sine and cosine series respecitively?

Published on 10 Apr 2026 - 12:20

16

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Verifying DTFT transform

Published on 12 Apr 2026 - 21:26

142

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The convolution of Fejér kernel with a non-trivial function is zero

Published on 14 Apr 2026 - 14:28

List Question

$f(x)=\log|2\sin(\frac{x}{2})| \in L^2(-\pi,\pi)$

Fourier Series and Countability

$\exp(a_0 + a_1 \sin(x) + a_2 \sin(2x) + ...) = b_0 + b_1 \sin(x) + b_2 \sin(2x) + b_3 \sin(3x) + c_1 \cos(x) + c_2 \cos(2x) + ...$?

Solve non-linear differential equations

alternate proof for $\sum_{n\ge 1}\frac{1}{n^2}=\frac{\pi^2}{6}$

Coefficients of Fourier series such that $\sum_{n=1}^{n=\infty}c^2_{n}<\infty$

Uniform bound of almost periodic functions

Inequality regarding L^6 norm of a trigonometric polynomial

Fourier transform of $\operatorname{sech}^2(x)$

Intuitive explanation of Fourier series existing for periodic functions

Fourier Sine Series and Fourier Cosine Series

Fourier series decomposition problem.

Is it possible to represent all odd and even functions by a sine and cosine series respecitively?

Verifying DTFT transform

The convolution of Fejér kernel with a non-trivial function is zero

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