List questions from fourier-transform

Published on 22 Apr 2026 - 21:24

221

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Convolution of two identical functions and Fourier transform

Published on 12 Apr 2026 - 14:51

161

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Fourier transform of an L1 function - Stein and Shakarchi, 2.25

Published on 13 Apr 2026 - 19:25

284

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what is the inverse of a time series transform?

Published on 12 Apr 2026 - 23:54

61

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Does convergence in $L^p$ imply convergence of Fourier transforms?

Published on 10 Apr 2026 - 8:15

47

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Helps with a proof of tightness.

Published on 10 Apr 2026 - 5:24

29

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Decreasing kernel if and only if sine transform is positive?

Published on 13 Apr 2026 - 19:38

55

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Determine a function $f(x)$ such that $ \int_{-\infty}^{+\infty}\left(3-4 y^2\right) e^{-y^2} f(x-y) d y=e^{-x^2}, \quad x \in \mathbb{R} $

Published on 17 Apr 2026 - 9:44

76

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Calculate the Fourier transform of the following function: $f(x)=\frac{1}{\sqrt{t}} g\left(\frac{x-u}{t}\right) e^{2 \pi i \xi x}$

Published on 16 Apr 2026 - 23:09

83

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Is this Fourier Transform for the Dirac Delta correct?

Published on 16 Apr 2026 - 2:51

100

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When will "permuted vectors" be linearly independent?

Published on 13 Apr 2026 - 0:01

45

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Integral transform that resembles the Fourier transform.

Published on 13 Apr 2026 - 6:24

74

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Non-obvious positive sine transform?

Published on 10 Apr 2026 - 4:42

60

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Generalized Fourier transform of a Schwartz function.

Published on 13 Apr 2026 - 7:26

426

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A (simple) misunderstanding of quarter-wave symmetry "proof" in Fourier series

Published on 12 Apr 2026 - 3:09

List Question

Fourier Transform of $\frac{1}{|x|^\delta}$

Convolution of two identical functions and Fourier transform

Fourier transform of an L1 function - Stein and Shakarchi, 2.25

what is the inverse of a time series transform?

Does convergence in $L^p$ imply convergence of Fourier transforms?

Helps with a proof of tightness.

Decreasing kernel if and only if sine transform is positive?

Determine a function $f(x)$ such that $ \int_{-\infty}^{+\infty}\left(3-4 y^2\right) e^{-y^2} f(x-y) d y=e^{-x^2}, \quad x \in \mathbb{R} $

Calculate the Fourier transform of the following function: $f(x)=\frac{1}{\sqrt{t}} g\left(\frac{x-u}{t}\right) e^{2 \pi i \xi x}$

Is this Fourier Transform for the Dirac Delta correct?

When will "permuted vectors" be linearly independent?

Integral transform that resembles the Fourier transform.

Non-obvious positive sine transform?

Generalized Fourier transform of a Schwartz function.

A (simple) misunderstanding of quarter-wave symmetry "proof" in Fourier series

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