List questions from fourier-transform

Published on 16 Apr 2026 - 17:22

81

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Fourier transform and heat equation on quarter plane

Published on 09 Apr 2026 - 4:49

75

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$\widehat{\sigma^{n-1}}(x) = c(n)|x|^{(2-n)/2} J_{(n-2)/2}(2\pi|x|)$ where $\sigma^{n-1}$ is the surface measure on $S^{n-1}$

Published on 16 Apr 2026 - 4:04

107

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Integral of exp over the hypersphere

Published on 11 Apr 2026 - 18:55

62

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How to solve this eigenfunction-like equation $(v*g)\mathbb{I}_A = \lambda g$, $\operatorname{supp}(g) \subset A$?

Published on 14 Apr 2026 - 18:40

59

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$G$ be loacally compact abelian group with $G,\hat{G}$ both sigma compact. Let $f\in L^2(G)$ and $\psi_n(x)=\int_{C_n}\hat{f}(\chi)\chi(x)\ d\chi$.

Published on 16 Apr 2026 - 5:52

32

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Fourier Transform on $L^1$ - Uniqueness

Published on 11 Apr 2026 - 0:33

53

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Why is the 2nd norm of a complex vector equal to the norm of the same vector multiplied from left by its in dimensions corresponding fourier matrix?

Published on 14 Apr 2026 - 20:58

489

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(inverse) Fourier transform of sinc function

Published on 12 Apr 2026 - 2:53

60

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Defining Fourier Transform on an $L^{2}$ space

Published on 24 Apr 2026 - 20:54

57

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Can I solve this boundary value problem using sine transform?

Published on 11 Apr 2026 - 3:00

191

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Fourier transform of $\frac{x}{\sinh(x)}$

Published on 11 Apr 2026 - 11:15

106

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The Laplacian in $L^{2}(\mathbb{R}^{n})$

Published on 16 Apr 2026 - 10:49

64

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Fourier Transform inconsistency in time domain and frequency domain

Published on 14 Apr 2026 - 1:38

52

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$\lambda \to \|E_{0}(\lambda)f\|^{2}_{L^{2}}$ is absolutely continuous

Published on 10 Apr 2026 - 15:48

List Question

Find a function $g$ such that $(1*g)(t)=t^{-1/2}$.

Fourier transform and heat equation on quarter plane

$\widehat{\sigma^{n-1}}(x) = c(n)|x|^{(2-n)/2} J_{(n-2)/2}(2\pi|x|)$ where $\sigma^{n-1}$ is the surface measure on $S^{n-1}$

Integral of exp over the hypersphere

How to solve this eigenfunction-like equation $(v*g)\mathbb{I}_A = \lambda g$, $\operatorname{supp}(g) \subset A$?

$G$ be loacally compact abelian group with $G,\hat{G}$ both sigma compact. Let $f\in L^2(G)$ and $\psi_n(x)=\int_{C_n}\hat{f}(\chi)\chi(x)\ d\chi$.

Fourier Transform on $L^1$ - Uniqueness

Why is the 2nd norm of a complex vector equal to the norm of the same vector multiplied from left by its in dimensions corresponding fourier matrix?

(inverse) Fourier transform of sinc function

Defining Fourier Transform on an $L^{2}$ space

Can I solve this boundary value problem using sine transform?

Fourier transform of $\frac{x}{\sinh(x)}$

The Laplacian in $L^{2}(\mathbb{R}^{n})$

Fourier Transform inconsistency in time domain and frequency domain

$\lambda \to \|E_{0}(\lambda)f\|^{2}_{L^{2}}$ is absolutely continuous

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