List questions from fourier-series

Published on 17 Apr 2026 - 12:28

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2D heat equation with Neumann boundary

Published on 10 Apr 2026 - 4:49

49

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Continuous periodic functions not approximable by a Fourier series

Published on 14 Apr 2026 - 6:56

310

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Convolution, Fourier transforms, and area preservation

Published on 12 Apr 2026 - 13:52

45

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Confusion over real functions as a complex Fourier series

Published on 14 Apr 2026 - 5:42

635

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Show that Fourier series of $f(x)=|x|$ converges pointwise and uniformly to $f(x)$ on $[-\pi,\pi]$.

Published on 14 Apr 2026 - 11:29

48

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$ \forall n=1,2,\cdots,b_n:=\frac{1}{\pi}\int_{-\pi}^\pi f(x)\sin nx \mathrm{d}x\geq0 $

Published on 16 Apr 2026 - 0:47

39

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How do I find a Fourier Expansion of a given function over an interval?

Published on 09 Apr 2026 - 11:37

206

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Strange Fourier series with all coefficients being null

Published on 10 Apr 2026 - 6:33

123

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Prove $\sum_{k=0}^n\binom{n}{k}\cos\left(\frac{k\pi}{2} - \frac{n\pi}{4}\right) = \sqrt{2^n}$

Published on 16 Apr 2026 - 13:10

98

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Show that the decimal representation map is ergodic using Fourier series.

Published on 14 Apr 2026 - 5:51

960

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Fourier Transform of the Weierstrass Function

Published on 24 Apr 2026 - 17:32

41

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Asymptotics of convolution of a series given the asymptotics of the series

Published on 09 Apr 2026 - 11:46

60

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Obtaining coefficients of a sum of exponential decays

Published on 23 Apr 2026 - 6:37

102

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Integral $\int_{0}^{\pi/2} \cos{m\phi}\tan{\phi}\ d\phi$

Published on 19 Apr 2026 - 12:05

List Question

Show that $\text{lim} \Gamma_n(f)=\frac{1}{2}[f(c-)+f(c+)]$

2D heat equation with Neumann boundary

Continuous periodic functions not approximable by a Fourier series

Convolution, Fourier transforms, and area preservation

Confusion over real functions as a complex Fourier series

Show that Fourier series of $f(x)=|x|$ converges pointwise and uniformly to $f(x)$ on $[-\pi,\pi]$.

$ \forall n=1,2,\cdots,b_n:=\frac{1}{\pi}\int_{-\pi}^\pi f(x)\sin nx \mathrm{d}x\geq0 $

How do I find a Fourier Expansion of a given function over an interval?

Strange Fourier series with all coefficients being null

Prove $\sum_{k=0}^n\binom{n}{k}\cos\left(\frac{k\pi}{2} - \frac{n\pi}{4}\right) = \sqrt{2^n}$

Show that the decimal representation map is ergodic using Fourier series.

Fourier Transform of the Weierstrass Function

Asymptotics of convolution of a series given the asymptotics of the series

Obtaining coefficients of a sum of exponential decays

Integral $\int_{0}^{\pi/2} \cos{m\phi}\tan{\phi}\ d\phi$

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