List questions from fourier-transform

Published on 15 Apr 2026 - 10:11

71

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Parseval theorem on a signal

Published on 12 Apr 2026 - 16:37

255

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Numeric calculation of infinite Fourier integral in 2D

Published on 14 Apr 2026 - 13:17

166

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How to calculate the derivative of Fourier transform of a matrix?

Published on 19 Apr 2026 - 16:45

3.1k

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Using FFT to calculate derivatives

Published on 12 Apr 2026 - 6:40

42

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A question about Fourier transform of tempered distribution

Published on 11 Apr 2026 - 18:11

67

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Locally Sobolev function and Fourier transform in distributional sense

Published on 12 Apr 2026 - 0:08

777

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How to solve a convection-diffusion equation analytically?

Published on 10 Apr 2026 - 7:47

137

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Prove by induction that $D^{\alpha}\hat{f}(x)=(-2\pi i)^{|\alpha|}[\widehat{(\cdot)^{\alpha}f(\cdot)}](x)$

Published on 16 Apr 2026 - 4:32

763

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FFT sampling: why is Nyquist frequency enough for inverse transform?

Published on 25 Mar 2026 - 15:10

381

Views

Fourier transform of odd function equals zero.

Published on 09 Apr 2026 - 22:33

71

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Fourier coefficient equal DFT coefficient for trigonometric functions

Published on 11 Apr 2026 - 0:33

282

Views

Showing that the split-step method for PDEs can be written in terms of Fourier transforms

Published on 11 Apr 2026 - 14:48

35

Views

Generalization of convolution operation?

Published on 16 Apr 2026 - 2:53

66

Views

$f_k \to f$ in $L^1(\mathbb{R})$ implies that its Fourier transform converges uniformly, i.e. $\hat{f}_k \to \hat{f}$ uniformly on $\mathbb{R}$

Published on 15 Apr 2026 - 16:14

List Question

Prove a function is not in a Sobolev space

Parseval theorem on a signal

Numeric calculation of infinite Fourier integral in 2D

How to calculate the derivative of Fourier transform of a matrix?

Using FFT to calculate derivatives

A question about Fourier transform of tempered distribution

Locally Sobolev function and Fourier transform in distributional sense

How to solve a convection-diffusion equation analytically?

Prove by induction that $D^{\alpha}\hat{f}(x)=(-2\pi i)^{|\alpha|}[\widehat{(\cdot)^{\alpha}f(\cdot)}](x)$

FFT sampling: why is Nyquist frequency enough for inverse transform?

Fourier transform of odd function equals zero.

Fourier coefficient equal DFT coefficient for trigonometric functions

Showing that the split-step method for PDEs can be written in terms of Fourier transforms

Generalization of convolution operation?

$f_k \to f$ in $L^1(\mathbb{R})$ implies that its Fourier transform converges uniformly, i.e. $\hat{f}_k \to \hat{f}$ uniformly on $\mathbb{R}$

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