List questions from fourier-transform

98

Views

Show that the map of $L^1(\Bbb R)\cap L^2(\Bbb R)$ into $L^2(\Bbb R)$ defined by $f\mapsto \hat{f}$ is continuous.

Published on 14 Apr 2018 - 11:09

220

Views

Inverse Fourier Transform of a given frequency spectrum waveform

Published on 25 Mar 2026 - 9:27

96

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Show, by formal differentiation, $u=e^{-|x|}\circ f$ is a solution to the differential equation $u''-u=-f$

Published on 25 Mar 2026 - 9:28

700

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Strict upper bound of Fourier Transform

Published on 15 Apr 2018 - 21:08

1.3k

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Fourier Transformation of $e^{-|t|}\cos(2t)$

Published on 25 Mar 2026 - 3:02

1.4k

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Fourier Integral Representation of $H(t)-\frac{1}{2}$

Published on 16 Apr 2018 - 16:28

751

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Problem From Folland Real analysis

Published on 25 Mar 2026 - 5:59

322

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Evaluate $\sum_{n=1}^\infty (-1)^{n+1}({1 - \cos(2n-1) \over 2n-1})$ using Fourier Series

Published on 17 Apr 2018 - 6:37

364

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Question on Fourier transforms and its translation properties

Published on 17 Apr 2018 - 12:34

63

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Fourier representation of delta function

Published on 25 Mar 2026 - 9:23

621

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Verifying inverse Fourier's Transform using Cauchy's integral formula

Published on 25 Mar 2026 - 6:11

103

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Understanding the Fourier transform

Published on 18 Apr 2018 - 17:56

2.1k

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Inverse Fourier Transform and Convolution Theorem

Published on 19 Apr 2018 - 16:20

76

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Fourier transform of $f(a+b t+c t^2)$

Published on 19 Apr 2018 - 16:51

84

Views

Applying Fourier transform to $f(x)-\int_\limits{-\infty}^{\infty}K(x-t)f(t)dt=g(x)$

Published on 25 Mar 2026 - 6:13

List Question

Show that the map of $L^1(\Bbb R)\cap L^2(\Bbb R)$ into $L^2(\Bbb R)$ defined by $f\mapsto \hat{f}$ is continuous.

Inverse Fourier Transform of a given frequency spectrum waveform

Show, by formal differentiation, $u=e^{-|x|}\circ f$ is a solution to the differential equation $u''-u=-f$

Strict upper bound of Fourier Transform

Fourier Transformation of $e^{-|t|}\cos(2t)$

Fourier Integral Representation of $H(t)-\frac{1}{2}$

Problem From Folland Real analysis

Evaluate $\sum_{n=1}^\infty (-1)^{n+1}({1 - \cos(2n-1) \over 2n-1})$ using Fourier Series

Question on Fourier transforms and its translation properties

Fourier representation of delta function

Verifying inverse Fourier's Transform using Cauchy's integral formula

Understanding the Fourier transform

Inverse Fourier Transform and Convolution Theorem

Fourier transform of $f(a+b t+c t^2)$

Applying Fourier transform to $f(x)-\int_\limits{-\infty}^{\infty}K(x-t)f(t)dt=g(x)$

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