List questions from fourier-analysis

Published on 10 May 2026 - 17:37

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Proof of young's inequality for convolution

Published on 11 Apr 2026 - 18:50

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

Published on 10 May 2026 - 13:50

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Find spectrum equation of signal

Published on 10 May 2026 - 15:47

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

Published on 14 Apr 2026 - 22:08

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Understanding Proof of Poisson Summation Formula

Published on 19 Apr 2026 - 19:38

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Fourier inverse transform of absolutely integrable function

Published on 10 May 2026 - 18:42

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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 16 Apr 2026 - 16:18

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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 11 May 2026 - 3:17

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$2D$ Fourier Transform of squares

Published on 10 May 2026 - 18:43

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Property of inverse of Fourier transform

Published on 10 May 2026 - 18:44

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

Published on 10 May 2026 - 18:45

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Fourier Transform of a Modulated Signal

Published on 10 May 2026 - 15:45

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Using Fourier Series to represent an irregular heartbeat

Published on 10 May 2026 - 18:43

353

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A question about the proof of the isoperimetric inequality

Published on 10 Apr 2026 - 21:36

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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