List questions from fourier-series

Published on 14 Apr 2026 - 3:05

283

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Showing ergodicity of $T(x,y)=(x+\alpha, x+y)$ on the $2-$torus using Fourier series

Published on 15 Apr 2026 - 21:43

20.3k

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Prove that $\pi^2/8 = 1 + 1/3^2 + 1/5^2 + 1/7^2 + \cdots$

Published on 17 Apr 2026 - 11:57

2.3k

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Prove that $\sum_n 1/(2n − 1)^4 = \pi^4/96$

Published on 14 Apr 2026 - 19:42

60

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Uniformly Convergent Series 1 Fourier Coefficients

Published on 15 Apr 2026 - 16:34

182

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Fourier coefficients for Steklov function

Published on 10 Apr 2026 - 10:51

455

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Fourier Series of $\sin^3(wt)$ calculates to $0$

Published on 12 Apr 2026 - 14:35

68

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Express as a fourier series or another series for a function

Published on 14 Apr 2026 - 10:46

52

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Find the function which has this Fourier representation

Published on 13 Apr 2026 - 16:58

261

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"Uniform Convergence" of the integral of a function

Published on 14 Apr 2026 - 5:24

133

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Absolute and uniform convergence of Fourier series

Published on 12 Apr 2026 - 19:08

1.2k

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Term by term integration fourier series

Published on 10 Apr 2026 - 14:58

199

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Is this proof for the "Poisson Summation Formula" correct?

Published on 16 Apr 2026 - 11:03

246

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Finding all twice differentiable $2 \pi$ periodic functions satisfying $e^{ix}f''(x)+5f'(x)+f(x)=0$

Published on 16 Apr 2026 - 7:42

56

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Limit on minimum involving best $L^2$ approximaion and Fourier series

Published on 13 Apr 2026 - 18:34

List Question

Fourier series of a linear toral endomorphism.

Showing ergodicity of $T(x,y)=(x+\alpha, x+y)$ on the $2-$torus using Fourier series

Prove that $\pi^2/8 = 1 + 1/3^2 + 1/5^2 + 1/7^2 + \cdots$

Prove that $\sum_n 1/(2n − 1)^4 = \pi^4/96$

Uniformly Convergent Series 1 Fourier Coefficients

Fourier coefficients for Steklov function

Fourier Series of $\sin^3(wt)$ calculates to $0$

Express as a fourier series or another series for a function

Find the function which has this Fourier representation

"Uniform Convergence" of the integral of a function

Absolute and uniform convergence of Fourier series

Term by term integration fourier series

Is this proof for the "Poisson Summation Formula" correct?

Finding all twice differentiable $2 \pi$ periodic functions satisfying $e^{ix}f''(x)+5f'(x)+f(x)=0$

Limit on minimum involving best $L^2$ approximaion and Fourier series

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