List questions from fourier-analysis

Published on 25 Mar 2026 - 4:40

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Proof of young's inequality for convolution

Published on 02 Mar 2018 - 16:31

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Showing orthogonality of two sines with the exponential form of delta function

Published on 24 Mar 2026 - 23:46

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Find spectrum equation of signal

Published on 25 Mar 2026 - 7:48

101

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$\lim_{n\to\infty}\int_0^1\sin (2 \pi nx)\, \mathrm{e}^{-\sqrt{x}}dx=0$

Published on 03 Mar 2018 - 20:11

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Understanding Proof of Poisson Summation Formula

Published on 22 Mar 2026 - 4:03

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Fourier inverse transform of absolutely integrable function

Published on 25 Mar 2026 - 6:00

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Proving $\|(1+\xi^2)^{-1/2} \partial^2 \hat{f}\|_2 \le C \|\|(1+\xi^2)^{-1/2} \hat{f}\|_2$ for $\mathrm{supp}(f) \subset [-R,R]$?

Published on 04 Mar 2018 - 20:22

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For any continuous function $f:S^1\to\mathbb{C}$ prove that $\|\sum\hat{f}(n)r^{|n|}e_n-f\|_{\infty}\to 0$ as $r\to 1$.

Published on 25 Mar 2026 - 11:16

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$2D$ Fourier Transform of squares

Published on 25 Mar 2026 - 6:04

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Property of inverse of Fourier transform

Published on 25 Mar 2026 - 6:04

28

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The set of those harmonics is the basis for all periodic signals

Published on 25 Mar 2026 - 6:06

159

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Fourier Transform of a Modulated Signal

Published on 25 Mar 2026 - 7:42

180

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Using Fourier Series to represent an irregular heartbeat

Published on 25 Mar 2026 - 7:43

350

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A question about the proof of the isoperimetric inequality

Published on 06 Mar 2018 - 8:10

List Question

Justifying using the Fourier inversion theorem for $f\not \in L^1$

Proof of young's inequality for convolution

Showing orthogonality of two sines with the exponential form of delta function

Find spectrum equation of signal

$\lim_{n\to\infty}\int_0^1\sin (2 \pi nx)\, \mathrm{e}^{-\sqrt{x}}dx=0$

Understanding Proof of Poisson Summation Formula

Fourier inverse transform of absolutely integrable function

Proving $\|(1+\xi^2)^{-1/2} \partial^2 \hat{f}\|_2 \le C \|\|(1+\xi^2)^{-1/2} \hat{f}\|_2$ for $\mathrm{supp}(f) \subset [-R,R]$?

For any continuous function $f:S^1\to\mathbb{C}$ prove that $\|\sum\hat{f}(n)r^{|n|}e_n-f\|_{\infty}\to 0$ as $r\to 1$.

$2D$ Fourier Transform of squares

Property of inverse of Fourier transform

The set of those harmonics is the basis for all periodic signals

Fourier Transform of a Modulated Signal

Using Fourier Series to represent an irregular heartbeat

A question about the proof of the isoperimetric inequality

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