List questions from fourier-analysis

Published on 15 Apr 2026 - 4:02

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On the proof of Fejér-Riesz theorem

Published on 11 Apr 2026 - 17:19

181

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Inverse Fourier transform of $F(\omega)=\frac{1}{\sum_{k=1}^N e^{i \omega z_k}}$

Published on 16 Apr 2026 - 5:40

419

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strange transform of dirac delta function

Published on 10 Apr 2026 - 9:03

365

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$f\in L^1\cap L^2$ implies $\hat f \in L^1$?

Published on 16 Apr 2026 - 21:08

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Can a non-periodic function have a Fourier series?

Published on 11 Apr 2026 - 14:51

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What is the relation between analytical Fourier transform and DFT?

Published on 14 Apr 2026 - 0:46

120

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Showing $\sum_{n=-\infty}^{\infty}\exp\left(-\pi an^2+2\pi ibn\right)=a^{-\frac{1}{2}}\sum_{m=-\infty}^{\infty}\exp\left(-\frac{\pi(m-b)^2}{a}\right)$

Published on 11 May 2026 - 9:47

326

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Harmonics conditions for a plucked string

Published on 12 Apr 2026 - 6:16

188

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How is the exponential in the Fourier transform pulled out of the integrand?

Published on 14 Apr 2026 - 8:27

1.1k

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Fourier Transform of $f(x) = \exp(-\pi ax^{2} + 2\pi ibx)$

Published on 11 Apr 2026 - 17:57

211

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Fourier transform: no time localization but an inverse exists. How can these properties go together?

Published on 14 Apr 2026 - 11:14

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Fourier series of a periodic odd function

Published on 11 Apr 2026 - 8:47

54

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Find Coefficients from already fourier function

Published on 15 Apr 2026 - 12:09

92

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Does these sequence and series converge?

Published on 14 Apr 2026 - 5:05

List Question

Periodic functions proof

On the proof of Fejér-Riesz theorem

Inverse Fourier transform of $F(\omega)=\frac{1}{\sum_{k=1}^N e^{i \omega z_k}}$

strange transform of dirac delta function

$f\in L^1\cap L^2$ implies $\hat f \in L^1$?

Can a non-periodic function have a Fourier series?

What is the relation between analytical Fourier transform and DFT?

Showing $\sum_{n=-\infty}^{\infty}\exp\left(-\pi an^2+2\pi ibn\right)=a^{-\frac{1}{2}}\sum_{m=-\infty}^{\infty}\exp\left(-\frac{\pi(m-b)^2}{a}\right)$

Harmonics conditions for a plucked string

How is the exponential in the Fourier transform pulled out of the integrand?

Fourier Transform of $f(x) = \exp(-\pi ax^{2} + 2\pi ibx)$

Fourier transform: no time localization but an inverse exists. How can these properties go together?

Fourier series of a periodic odd function

Find Coefficients from already fourier function

Does these sequence and series converge?

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