Question

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

score 84 · Answer 1 · 2026-05-07 10:10:03

84

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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 07 May 2026 - 10:10

score 316 · Answer 2 · 2026-04-29 12:25:13

316

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Parseval's Identity Proof Monotone/Dominated Convergence Theorem

Published on 29 Apr 2026 - 12:25

score 128 · Answer 3 · 2026-04-16 06:45:55

128

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

Published on 16 Apr 2026 - 6:45

score 78 · Answer 4 · 2026-04-16 21:22:39

78

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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 16 Apr 2026 - 21:22

score 609 · Answer 5 · 2026-04-11 13:42:43

609

Views

The Fourier transform of a function whose argument is complex

Published on 11 Apr 2026 - 13:42

score 8.3k · Answer 6 · 2026-04-10 07:19:51

8.3k

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

Published on 10 Apr 2026 - 7:19

score 831 · Answer 7 · 2026-05-07 16:52:34

831

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

Published on 07 May 2026 - 16:52

score 1.1k · Answer 8 · 2026-05-02 20:17:44

1.1k

Views

How does Fourier transform convert from time domain to frequency domain

Published on 02 May 2026 - 20:17

score 402 · Answer 9 · 2026-04-15 21:08:38

402

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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 15 Apr 2026 - 21:08

score 3.9k · Answer 10 · 2026-04-09 02:19:53

3.9k

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Fourier Transform on positive real line

Published on 09 Apr 2026 - 2:19

score 5.8k · Answer 11 · 2026-04-12 16:32:39

5.8k

Views

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

Published on 12 Apr 2026 - 16:32

score 954 · Answer 12 · 2026-04-29 12:44:20

954

Views

Solving an integral equation by Fourier transform

Published on 29 Apr 2026 - 12:44

score 132 · Answer 13 · 2026-04-15 12:48:13

132

Views

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

Published on 15 Apr 2026 - 12:48

score 110 · Answer 14 · 2026-04-15 18:37:27

110

Views

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 15 Apr 2026 - 18:37

score 43 · Answer 15 · 2026-05-05 02:14:47

43

Views

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

Published on 05 May 2026 - 2:14

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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