List questions from fourier-transform

Published on 21 Dec 2019 - 20:23

253

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Close formula of Yukawa Potential in 3 dimension by integrating $\int_{0}^{\infty}{\frac{1}{(4\pi t)^{\frac{d}{2}}}e^{-\frac{x^2}{4t} - \mu^2t}}dt$

Published on 23 Dec 2019 - 17:44

1.1k

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Why is Fourier transform of sin(2t) not 2?

Published on 26 Dec 2019 - 14:28

58

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eigen functions of finite filters

Published on 26 Mar 2026 - 6:28

43

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Are there examples of $f(x)$ for which $\mathcal{F}_x[f(x)](s)=\mathcal{F}_x^{-1}[f(x)](s)$ other than $f(x)=\cos(x)$ and $f(x)=\text{sinc}(x)$?

Published on 26 Mar 2026 - 14:22

93

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Checking the periodicity of a signal

Published on 27 Mar 2026 - 16:27

287

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Convolution of non-periodic function with another function

Published on 27 Mar 2026 - 17:59

360

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Fourier Transform of a $N$-dimensional complex Gaussian

Published on 26 Mar 2026 - 9:39

47

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Integrals and Fourier Transforms

Published on 01 Jan 2020 - 16:45

68

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Formalizing a proof of Poisson summation formula

Published on 01 Jan 2020 - 17:31

51

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If $|f(x)|\leq\frac{C}{(1+|x|^2)^N}$, prove its Fourier transform$\hat{f}$ is well-defined, smooth and in $\mathcal{L}^2(\mathbb{R}^n)$

Published on 01 Jan 2020 - 21:06

547

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Convolution of two diferent probability distribution functions

Published on 25 Mar 2026 - 14:29

57

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Inverse Fourier Transform of $F(\xi)=\frac{e^{-\frac{\xi^2}8}}{2^\frac{1}{4}}$

Published on 03 Jan 2020 - 4:19

65

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How can I compute the Fourier transform a a product of two functions?

Published on 03 Jan 2020 - 12:53

478

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How do I solve the integral equation $\int_0^\infty f(y)\sin(xy)dy=e^{-x} , x>0$?

Published on 26 Mar 2026 - 10:59

List Question

Simple question about Fourier transform

Close formula of Yukawa Potential in 3 dimension by integrating $\int_{0}^{\infty}{\frac{1}{(4\pi t)^{\frac{d}{2}}}e^{-\frac{x^2}{4t} - \mu^2t}}dt$

Why is Fourier transform of sin(2t) not 2?

eigen functions of finite filters

Are there examples of $f(x)$ for which $\mathcal{F}_x[f(x)](s)=\mathcal{F}_x^{-1}[f(x)](s)$ other than $f(x)=\cos(x)$ and $f(x)=\text{sinc}(x)$?

Checking the periodicity of a signal

Convolution of non-periodic function with another function

Fourier Transform of a $N$-dimensional complex Gaussian

Integrals and Fourier Transforms

Formalizing a proof of Poisson summation formula

If $|f(x)|\leq\frac{C}{(1+|x|^2)^N}$, prove its Fourier transform$\hat{f}$ is well-defined, smooth and in $\mathcal{L}^2(\mathbb{R}^n)$

Convolution of two diferent probability distribution functions

Inverse Fourier Transform of $F(\xi)=\frac{e^{-\frac{\xi^2}8}}{2^\frac{1}{4}}$

How can I compute the Fourier transform a a product of two functions?

How do I solve the integral equation $\int_0^\infty f(y)\sin(xy)dy=e^{-x} , x>0$?

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