List questions from fourier-transform

Published on 10 Jan 2017 - 17:30

302

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Fourier transform of $\frac{e^{2ix}}{1+x^2}+3p_2(x-1)$

Published on 11 Jan 2017 - 14:10

79

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The inverse of the inverse Mellin transform of a function is equal to itself?

Published on 03 Apr 2026 - 15:36

1.7k

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Fourier transform $f(x) = cosx$ , $x \in [-\pi,\pi]$

Published on 13 Jan 2017 - 18:27

1k

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Alternative Slutsky's Theorem proof with conditional Expectation

Published on 04 Apr 2026 - 7:39

51

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How to check that $ f(x)=(1/2) \int_{-\infty}^{\infty} e^{-|x-y|} g(y) dy $ is a solution to $-f''+f=g$?

Published on 14 Jan 2017 - 11:02

40

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How to show that the Fourier Transform of $ f(x)=e^{-mx^2} $ satisfies $ d/d\psi $ $ \hat{f} {(\psi)} $ = $ -\psi/2m $ $\hat{f} {(\psi)} $

Published on 14 Jan 2017 - 19:46

135

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Evaluating the integral $\int_0^\infty dke^{-\gamma k}k\cos\left(\sqrt{\alpha^2k^2-\beta^2}t\right)\sin(kr)$

Published on 15 Jan 2017 - 18:25

2.3k

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Relation between Discrete Fourier Transform and Fourier Series

Published on 25 Mar 2026 - 22:03

1.1k

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Discrete Fourier Transform: Shift by Fraction of a Sample

Published on 28 Mar 2026 - 21:57

1.5k

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Fourier transform of the distribution generated by Heaviside step function. Where is the mistake?

Published on 01 Apr 2026 - 0:29

261

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Fourier transform in the tempered distributions space

Published on 01 Apr 2026 - 0:23

50

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Prove that the parameter of the PDE is real and negative using Fourier transform

Published on 19 Jan 2017 - 17:10

272

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Shannon wavelet

Published on 25 Mar 2026 - 12:12

402

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Fourier Series with dc offset

Published on 21 Jan 2017 - 13:13

List Question

Solve $\int_0^{+\infty} \Big(\frac{\sin t}{t}\Big)^2 \ dt$

Fourier transform of $\frac{e^{2ix}}{1+x^2}+3p_2(x-1)$

The inverse of the inverse Mellin transform of a function is equal to itself?

Fourier transform $f(x) = cosx$ , $x \in [-\pi,\pi]$

Alternative Slutsky's Theorem proof with conditional Expectation

How to check that $ f(x)=(1/2) \int_{-\infty}^{\infty} e^{-|x-y|} g(y) dy $ is a solution to $-f''+f=g$?

How to show that the Fourier Transform of $ f(x)=e^{-mx^2} $ satisfies $ d/d\psi $ $ \hat{f} {(\psi)} $ = $ -\psi/2m $ $\hat{f} {(\psi)} $

Evaluating the integral $\int_0^\infty dke^{-\gamma k}k\cos\left(\sqrt{\alpha^2k^2-\beta^2}t\right)\sin(kr)$

Relation between Discrete Fourier Transform and Fourier Series

Discrete Fourier Transform: Shift by Fraction of a Sample

Fourier transform of the distribution generated by Heaviside step function. Where is the mistake?

Fourier transform in the tempered distributions space

Prove that the parameter of the PDE is real and negative using Fourier transform

Shannon wavelet

Fourier Series with dc offset

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