List questions from fourier-analysis

Published on 12 Apr 2026 - 22:53

239

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Applying Fourier transform to a gaussian

Published on 16 Apr 2026 - 9:55

236

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$h = \sum_{n=0}^\infty (ae^{j\omega})^n$ , how is the approximation of this equal to $\frac {1}{1-h}$

Published on 15 Apr 2026 - 20:42

56

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Can we choose $g$ so that $\|(g\widehat{(f^{3})})^{\vee}\|_{L^{p}} \leq C \|g_{1}f\|_{L^{2}}^{r} \|(g_{2}\hat{f})^{\vee}\|_{L^{s}}$?

Published on 17 Apr 2026 - 3:34

60

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Why the sum of the list is 4？

Published on 17 Apr 2026 - 9:18

188

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Integral of $\int_{-\infty}^{+\infty}\left |{\frac{\sin{x}}{x(1+x^2)}}\right|^2\,dx $

Published on 17 Apr 2026 - 4:09

4.7k

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Proof of the discrete Fourier transform of a discrete convolution

Published on 11 Apr 2026 - 6:03

111

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Fourier inverse of a function to get dirac

Published on 12 Apr 2026 - 11:34

386

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Bound on the sup norm for derivatives of a particular $C^\infty$ function

Published on 12 Apr 2026 - 7:07

229

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Norm convergence of approximations to the identity

Published on 12 Apr 2026 - 4:16

383

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Smoothness of inverse Fourier transform

Published on 15 Apr 2026 - 6:19

36

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Proving a fourier transform expression with green's formuls

Published on 14 Apr 2026 - 11:06

898

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Improper integral Riemann sum limit in the derivation of Fourier series to Fourier transform

Published on 09 Apr 2026 - 9:51

3.4k

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Does the power spectral density vanish when the frequency is zero for a zero-mean process?

Published on 17 Apr 2026 - 0:31

75

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$k^2 e^{ikx} \rightharpoonup 0$ in the Sense of Distributions

Published on 14 Apr 2026 - 20:26

List Question

Show behavior of Fourier Transform

Applying Fourier transform to a gaussian

$h = \sum_{n=0}^\infty (ae^{j\omega})^n$ , how is the approximation of this equal to $\frac {1}{1-h}$

Can we choose $g$ so that $\|(g\widehat{(f^{3})})^{\vee}\|_{L^{p}} \leq C \|g_{1}f\|_{L^{2}}^{r} \|(g_{2}\hat{f})^{\vee}\|_{L^{s}}$?

Why the sum of the list is 4？

Integral of $\int_{-\infty}^{+\infty}\left |{\frac{\sin{x}}{x(1+x^2)}}\right|^2\,dx $

Proof of the discrete Fourier transform of a discrete convolution

Fourier inverse of a function to get dirac

Bound on the sup norm for derivatives of a particular $C^\infty$ function

Norm convergence of approximations to the identity

Smoothness of inverse Fourier transform

Proving a fourier transform expression with green's formuls

Improper integral Riemann sum limit in the derivation of Fourier series to Fourier transform

Does the power spectral density vanish when the frequency is zero for a zero-mean process?

$k^2 e^{ikx} \rightharpoonup 0$ in the Sense of Distributions

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