List questions from fourier-analysis

Published on 27 Mar 2026 - 18:22

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Proof of Plancherel Theorem

Published on 30 Mar 2026 - 13:20

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Expand the given function in an appropriate cosine or sine series. (Fourier series)

Published on 21 Apr 2019 - 9:23

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Strategies for proving continuity and differentiability of trigonometric series

Published on 29 Mar 2026 - 7:39

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How to Evaluate $\int_{0}^{\infty}\frac{x^2+2}{x^4+4} \ dx$ given $\mathcal{F}_c(e^{-x}\cos(x))=\sqrt{\frac{2}{\pi}}\frac{k^2+2}{k^4+4}$

Published on 22 Apr 2019 - 2:03

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Is the function $f(x) = \sum_{n\geq 1 } \cos(n^2 x ) / n^{2.6}$ absolutely continuous?

Published on 22 Apr 2019 - 2:04

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Question about derivation in Fourier series

Published on 22 Apr 2019 - 2:48

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Computation of a 2D Fourier transform

Published on 29 Mar 2026 - 16:58

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Fourier transform of $\varphi_m(u)=\int |x|^mu(x)dx$

Published on 25 Mar 2026 - 18:47

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Is it possible to use FFT to derive a Fourier series fitting to data?

Published on 25 Mar 2026 - 11:13

745

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Minimizing the MSE of a Fourier series

Published on 29 Mar 2026 - 7:39

160

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There is no function in $L^1$ whose Fourier transform is 1/log(x)

Published on 29 Mar 2026 - 18:42

182

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Computing $\mathcal{F}^{-1}\left(\frac{1}{(1+ik)(2+ik)}\right)$ via Convolution Theorem - Heaviside Step Function

Published on 25 Apr 2019 - 5:07

187

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Application of the operator $\exp\left( \alpha \frac{\partial^2}{\partial q^2}\right)$

Published on 27 Mar 2026 - 15:17

104

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Where is the usefulness of Fourier Transform I was promised?

Published on 25 Mar 2026 - 19:04

List Question

Why does this identity hold for Fejér Kernels?

Proof of Plancherel Theorem

Expand the given function in an appropriate cosine or sine series. (Fourier series)

Strategies for proving continuity and differentiability of trigonometric series

How to Evaluate $\int_{0}^{\infty}\frac{x^2+2}{x^4+4} \ dx$ given $\mathcal{F}_c(e^{-x}\cos(x))=\sqrt{\frac{2}{\pi}}\frac{k^2+2}{k^4+4}$

Is the function $f(x) = \sum_{n\geq 1 } \cos(n^2 x ) / n^{2.6}$ absolutely continuous?

Question about derivation in Fourier series

Computation of a 2D Fourier transform

Fourier transform of $\varphi_m(u)=\int |x|^mu(x)dx$

Is it possible to use FFT to derive a Fourier series fitting to data?

Minimizing the MSE of a Fourier series

There is no function in $L^1$ whose Fourier transform is 1/log(x)

Computing $\mathcal{F}^{-1}\left(\frac{1}{(1+ik)(2+ik)}\right)$ via Convolution Theorem - Heaviside Step Function

Application of the operator $\exp\left( \alpha \frac{\partial^2}{\partial q^2}\right)$

Where is the usefulness of Fourier Transform I was promised?

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