List questions from fourier-transform

Published on 04 May 2026 - 10:00

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When does Inverse Fourier transform look close to a positive definite function?

Published on 12 Apr 2026 - 8:01

221

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Let $f \in C^1(\mathbb{R})$ be such that both $f$ and $f'$ belong to $L^2(\mathbb{R})$. Show that $\hat{f} \in L^1(\mathbb{R})$

Published on 04 May 2026 - 10:01

47

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Cesaro summation of the inverse Fourier transform.

Published on 14 Apr 2026 - 23:18

63

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Formula connecting Fourier transforms of function and its derivative

Published on 04 May 2026 - 10:01

89

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Is the convolution of $L^2$ functions continuous?

Published on 14 Apr 2026 - 1:28

103

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How can I do a Fourier expansion for a waveform with uneven square pattern

Published on 04 May 2026 - 10:01

103

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Counstruct a sequence of Schwartz functions

Published on 13 Apr 2026 - 12:31

324

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The Fourier Transform of a Radial Function on $\mathbb R^n$

Published on 04 May 2026 - 10:01

84

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Solving the discrete Fourier Transform of $\sin(x)+\sin(2x)$

Published on 11 Apr 2026 - 4:37

44

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Solving $\widehat{f}=f$ with $f\in L^2$.

Published on 04 May 2026 - 10:01

67

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Solving the convolution equation $U*g=\sin{2x}$ where $g(x)=e^{-|x|}$.

Published on 15 Apr 2026 - 21:53

22

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Fourier inversion of a certain mean

Published on 13 Apr 2026 - 19:46

101

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$\lim_{R\to\infty} R^{-n} \mathcal L^n(\{x\in B(0,R): |\hat\mu(x)| > |x|^{-s/2}\}) = 0$ if $I_s(\mu) < \infty$

Published on 15 Apr 2026 - 16:52

427

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Integrable characteristic function

Published on 10 Apr 2026 - 17:45

List Question

integration by parts on a fourier transformation

When does Inverse Fourier transform look close to a positive definite function?

Let $f \in C^1(\mathbb{R})$ be such that both $f$ and $f'$ belong to $L^2(\mathbb{R})$. Show that $\hat{f} \in L^1(\mathbb{R})$

Cesaro summation of the inverse Fourier transform.

Formula connecting Fourier transforms of function and its derivative

Is the convolution of $L^2$ functions continuous?

How can I do a Fourier expansion for a waveform with uneven square pattern

Counstruct a sequence of Schwartz functions

The Fourier Transform of a Radial Function on $\mathbb R^n$

Solving the discrete Fourier Transform of $\sin(x)+\sin(2x)$

Solving $\widehat{f}=f$ with $f\in L^2$.

Solving the convolution equation $U*g=\sin{2x}$ where $g(x)=e^{-|x|}$.

Fourier inversion of a certain mean

$\lim_{R\to\infty} R^{-n} \mathcal L^n(\{x\in B(0,R): |\hat\mu(x)| > |x|^{-s/2}\}) = 0$ if $I_s(\mu) < \infty$

Integrable characteristic function

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