List questions from fourier-analysis

Published on 11 Apr 2026 - 17:17

224

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An exercise about a quantitative version of the Riemann-Lebesgue lemma

Published on 14 Apr 2026 - 10:43

280

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Heat equation solution using Fourier transform

Published on 08 Apr 2026 - 16:39

111

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Apply Parseval equality, to show that $f_h \in L^2[-\pi,\pi]$

Published on 09 Apr 2026 - 6:10

44

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Onesided Fourier Inversion formula

Published on 10 Apr 2026 - 14:24

972

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Proof for uniqueness of the Fourier-Transform

Published on 12 Apr 2026 - 8:33

84

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Evaluating $\frac{1}{2 \pi} \int_{-\pi}^{\pi} e^{-|x|} e^{-i k x} d x , \quad k \in \mathbb{Z}$

Published on 16 Apr 2026 - 10:29

85

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Show that there exists $f \in L^1(G)$ such that $\hat{f} \ne 0$ and $\hat{f}=0$ on $\hat{G} \setminus E$

Published on 16 Apr 2026 - 10:26

82

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Fourier transform of sampled signal on multidimensional lattice

Published on 25 Mar 2026 - 5:06

116

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Fourier transform periodic signal

Published on 11 Apr 2026 - 8:48

102

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Show that $ x\cdot\cos(x)+\sin(x)/2=\sum_{n=2}^\infty (-1)^n\cdot\frac{2n}{n^2-1}\cdot\sin(nx)$ when $x\in [-\pi,\pi]$

Published on 14 Apr 2026 - 23:09

27

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Anyone has any idea how to perform the Fourier transform in this case?

Published on 14 Apr 2026 - 10:44

96

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2d equivalent of simple 1d low-pass filter ODE

Published on 16 Apr 2026 - 0:19

290

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Fourier inversion formula for $L^2$ functions

Published on 12 Apr 2026 - 12:04

166

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Fourier series for $e^{-|x|}$

Published on 11 Apr 2026 - 6:39

List Question

How to band-pass filter data in frequency domain?

An exercise about a quantitative version of the Riemann-Lebesgue lemma

Heat equation solution using Fourier transform

Apply Parseval equality, to show that $f_h \in L^2[-\pi,\pi]$

Onesided Fourier Inversion formula

Proof for uniqueness of the Fourier-Transform

Evaluating $\frac{1}{2 \pi} \int_{-\pi}^{\pi} e^{-|x|} e^{-i k x} d x , \quad k \in \mathbb{Z}$

Show that there exists $f \in L^1(G)$ such that $\hat{f} \ne 0$ and $\hat{f}=0$ on $\hat{G} \setminus E$

Fourier transform of sampled signal on multidimensional lattice

Fourier transform periodic signal

Show that $ x\cdot\cos(x)+\sin(x)/2=\sum_{n=2}^\infty (-1)^n\cdot\frac{2n}{n^2-1}\cdot\sin(nx)$ when $x\in [-\pi,\pi]$

Anyone has any idea how to perform the Fourier transform in this case?

2d equivalent of simple 1d low-pass filter ODE

Fourier inversion formula for $L^2$ functions

Fourier series for $e^{-|x|}$

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