Question

Fourier Series on $L^1\left(\left[0,1\right)\right)\cap C\left(\left[0,1\right)\right)$

score 76 · Answer 1 · 2026-03-20 04:07:06

76

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Fourier Series on $L^1\left(\left[0,1\right)\right)\cap C\left(\left[0,1\right)\right)$

Published on 20 Mar 2026 - 4:07

score 308 · Answer 2 · 2026-03-22 12:19:36

308

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Parseval's Identity Proof Monotone/Dominated Convergence Theorem

Published on 22 Mar 2026 - 12:19

score 125 · Answer 3 · 2018-01-20 14:58:33

125

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Show that $\widehat f(\xi)=f(\xi)~,$ where $\widehat f$is the Fourier transform of $f.$

Published on 20 Jan 2018 - 14:58

score 75 · Answer 4 · 2018-01-21 01:07:41

75

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The limit of $2\frac{\sin\left(\frac{M\theta_{k}}{2}\right)\cos\left(\frac{1}{2}(1+M)\theta_{k}\right)}{\sin\left(\frac{\theta_{k}}{2}\right)} $

Published on 21 Jan 2018 - 1:07

score 606 · Answer 5 · 2026-03-17 20:02:13

606

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The Fourier transform of a function whose argument is complex

Published on 17 Mar 2026 - 20:02

score 8.3k · Answer 6 · 2026-03-17 06:57:51

8.3k

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Fourier transform of $f(x)\cos(ax)$

Published on 17 Mar 2026 - 6:57

score 823 · Answer 7 · 2026-03-21 23:52:33

823

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Calculate the convolution: $\frac{\sin(4t)}{\pi t}*( \cos(t)+\cos(6t) )$ using Fourier transform

Published on 21 Mar 2026 - 23:52

score 1.1k · Answer 8 · 2026-03-22 08:55:59

1.1k

Views

How does Fourier transform convert from time domain to frequency domain

Published on 22 Mar 2026 - 8:55

score 399 · Answer 9 · 2018-01-24 07:13:55

399

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Prove that if $f$ lies in $L^{1}({\bf R}^{n})$ then $\widehat f$ is uniformly continuous on ${\bf R}^{n},$

Published on 24 Jan 2018 - 7:13

score 3.9k · Answer 10 · 2026-03-17 05:14:02

3.9k

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Fourier Transform on positive real line

Published on 17 Mar 2026 - 5:14

score 5.8k · Answer 11 · 2026-03-17 22:45:53

5.8k

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How to Fourier Transform $\frac{\sin(x)^2}{x^2}$ without Contour Integration.

Published on 17 Mar 2026 - 22:45

score 948 · Answer 12 · 2026-03-23 01:54:00

948

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Solving an integral equation by Fourier transform

Published on 23 Mar 2026 - 1:54

score 129 · Answer 13 · 2026-03-17 20:18:04

129

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Question about the Fourier transform of $\ln(1+x^2)\exp(-x^2)$

Published on 17 Mar 2026 - 20:18

score 107 · Answer 14 · 2018-01-26 08:03:41

107

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Show that ${(\widehat{f})^{\lor}=f}~$ almost everywhere on ${{\bf R}^{n}}$ provided that ${\widehat f~,f\in L^{1}({\bf R}^{n})}$

Published on 26 Jan 2018 - 8:03

score 36 · Answer 15 · 2026-03-17 10:20:56

36

Views

Prove that $|\Phi(p)|^2 \propto\sin^2\left( \frac{p L}{\hbar}\right) $

Published on 17 Mar 2026 - 10:20

List Question

Fourier Series on $L^1\left(\left[0,1\right)\right)\cap C\left(\left[0,1\right)\right)$

Parseval's Identity Proof Monotone/Dominated Convergence Theorem

Show that $\widehat f(\xi)=f(\xi)~,$ where $\widehat f$is the Fourier transform of $f.$

The limit of $2\frac{\sin\left(\frac{M\theta_{k}}{2}\right)\cos\left(\frac{1}{2}(1+M)\theta_{k}\right)}{\sin\left(\frac{\theta_{k}}{2}\right)} $

The Fourier transform of a function whose argument is complex

Fourier transform of $f(x)\cos(ax)$

Calculate the convolution: $\frac{\sin(4t)}{\pi t}*( \cos(t)+\cos(6t) )$ using Fourier transform

How does Fourier transform convert from time domain to frequency domain

Prove that if $f$ lies in $L^{1}({\bf R}^{n})$ then $\widehat f$ is uniformly continuous on ${\bf R}^{n},$

Fourier Transform on positive real line

How to Fourier Transform $\frac{\sin(x)^2}{x^2}$ without Contour Integration.

Solving an integral equation by Fourier transform

Question about the Fourier transform of $\ln(1+x^2)\exp(-x^2)$

Show that ${(\widehat{f})^{\lor}=f}~$ almost everywhere on ${{\bf R}^{n}}$ provided that ${\widehat f~,f\in L^{1}({\bf R}^{n})}$

Prove that $|\Phi(p)|^2 \propto\sin^2\left( \frac{p L}{\hbar}\right) $

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