List questions from fourier-series

Published on 09 Apr 2026 - 14:56

180

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Is there a direct method for evaluating this integral: $\int_{0}^{2\pi}\ln^2(2\sin(\frac{x}{2}))dx$?

Published on 21 Jul 2015 - 18:10

187

Views

Inverting a differential operator on $C^\infty$ functions using Fourier series

Published on 13 Apr 2026 - 2:23

220

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Convergence of the series $\sum_{n=0}^\infty \sin(n! \pi m \sin(1))$

Published on 22 Jul 2015 - 5:29

342

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Why is periodic harmonic analysis only possible with sines?

Published on 11 Apr 2026 - 2:35

1k

Views

Sum function of a series

Published on 10 Apr 2026 - 23:26

427

Views

Fourier series of constant on $2\pi$ intervals

Published on 10 Apr 2026 - 2:41

397

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Fourier transform of a pyramid

Published on 10 Apr 2026 - 7:19

849

Views

Using Hölder condition to find upper bound on Fourier coefficients

Published on 25 Mar 2026 - 23:10

94

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Using complex variables to find sums of Fourier series

Published on 12 Apr 2026 - 11:39

1k

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How is the Fourier transform a generalization to the Fourier series?

Published on 12 Apr 2026 - 16:24

74

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Prove that orthonormalsystem is an orthonormalbasis

Published on 13 Apr 2026 - 16:01

1.1k

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Can a sine wave be expressed as a sum of square waves.

Published on 10 Apr 2026 - 16:34

997

Views

Proving $\pi \coth \pi a= \frac{1}{a}+ \sum_{n=1}^{\infty}\frac{2a}{n^2+a^2}$ using the Fourier series for $\cosh ax$

Published on 11 Apr 2026 - 17:42

958

Views

Generalized Fourier series in $L^2$ that do not converge pointwise a.e.

Published on 27 Jul 2015 - 21:33

List Question

how to solve this complex exponential integration ??

Is there a direct method for evaluating this integral: $\int_{0}^{2\pi}\ln^2(2\sin(\frac{x}{2}))dx$?

Inverting a differential operator on $C^\infty$ functions using Fourier series

Convergence of the series $\sum_{n=0}^\infty \sin(n! \pi m \sin(1))$

Why is periodic harmonic analysis only possible with sines?

Sum function of a series

Fourier series of constant on $2\pi$ intervals

Fourier transform of a pyramid

Using Hölder condition to find upper bound on Fourier coefficients

Using complex variables to find sums of Fourier series

How is the Fourier transform a generalization to the Fourier series?

Prove that orthonormalsystem is an orthonormalbasis

Can a sine wave be expressed as a sum of square waves.

Proving $\pi \coth \pi a= \frac{1}{a}+ \sum_{n=1}^{\infty}\frac{2a}{n^2+a^2}$ using the Fourier series for $\cosh ax$

Generalized Fourier series in $L^2$ that do not converge pointwise a.e.

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