List questions from fourier-analysis

Published on 15 Apr 2026 - 12:03

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Computing the Fourier series of $f(\theta)=(\pi-\theta)^2/4$ for $0\leq\theta\leq{2\pi}$

Published on 16 Apr 2026 - 8:48

599

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Computing the Fourier series of $f(\theta)=\frac{\pi}{\sin\pi\alpha}e^{i(\pi-\theta)\alpha}$ for $x\in[0, 2\pi]$

Published on 15 Apr 2026 - 19:09

341

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Theorem 2.1 in Stein and Shakarachi the complex valued function case.

Published on 14 Apr 2026 - 3:48

894

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Fourier Transform of $1-|x|$ for $|x|<1$

Published on 10 Apr 2026 - 18:30

411

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On the equivalence of representations of Fourier series

Published on 16 Apr 2026 - 0:17

154

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Why this is a Fourier expansion if the Fourier inversion doesn't contain any $e^{-ikx}$ term?

Published on 13 Apr 2026 - 18:43

766

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Fourier analysis: number of components and highest frequency

Published on 16 Apr 2026 - 7:49

440

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Fourier transform of vorticity

Published on 09 Apr 2026 - 11:29

312

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The Fourier transform of $|x|^{-a}$, where $0<a<n$

Published on 13 Apr 2026 - 22:13

1.4k

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The Fourier transform of homogeneous function

Published on 11 Apr 2026 - 3:22

219

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Calculate maximum delay between two signals?

Published on 11 Apr 2026 - 23:20

1.1k

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Summing up Fourier coefficients $\hat{f}({\bf m})$ of $f\in L^1({\bf T}^n)$ for ${\bf m}=(m,\ldots,m), m \in {\bf Z}$

Published on 16 Apr 2026 - 7:02

37

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real-valued, L^p, bandlimited => holomorphic?

Published on 14 Apr 2026 - 7:07

289

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Showing $\left\{ f_k \right\}^{\infty}_{k=1}$ , a sequence of Riemann-integrable Functions converage uniformally in n as $k \rightarrow \, \infty$

Published on 15 Apr 2026 - 17:44

List Question

A multidimensional Ito lemma in time-frequency for $dS(t,w)$.

Computing the Fourier series of $f(\theta)=(\pi-\theta)^2/4$ for $0\leq\theta\leq{2\pi}$

Computing the Fourier series of $f(\theta)=\frac{\pi}{\sin\pi\alpha}e^{i(\pi-\theta)\alpha}$ for $x\in[0, 2\pi]$

Theorem 2.1 in Stein and Shakarachi the complex valued function case.

Fourier Transform of $1-|x|$ for $|x|<1$

On the equivalence of representations of Fourier series

Why this is a Fourier expansion if the Fourier inversion doesn't contain any $e^{-ikx}$ term?

Fourier analysis: number of components and highest frequency

Fourier transform of vorticity

The Fourier transform of $|x|^{-a}$, where $0<a<n$

The Fourier transform of homogeneous function

Calculate maximum delay between two signals?

Summing up Fourier coefficients $\hat{f}({\bf m})$ of $f\in L^1({\bf T}^n)$ for ${\bf m}=(m,\ldots,m), m \in {\bf Z}$

real-valued, L^p, bandlimited => holomorphic?

Showing $\left\{ f_k \right\}^{\infty}_{k=1}$ , a sequence of Riemann-integrable Functions converage uniformally in n as $k \rightarrow \, \infty$

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