List questions from harmonic-analysis

Published on 10 May 2026 - 18:30

2.4k

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How to calculate the Fourier transform of the Poisson kernel

Published on 09 Apr 2026 - 17:40

650

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The sum of Dirichlet's kernel

Published on 11 Apr 2026 - 3:24

66

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Find Fourier coefficients of $f(x)=e^{-|x|}$

Published on 15 Apr 2026 - 20:15

83

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Poisson and subharmonic equation

Published on 10 Apr 2026 - 18:04

73

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Quantitative control over Caratheodory Extension of a Riemann map, for the theorem of Bohr-Pal

Published on 11 Apr 2026 - 16:10

341

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Pointwise inequality between a function and its fractional maximal function

Published on 11 Apr 2026 - 0:58

117

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Showing that this version of the Fourier transoform ( on a circle ) is not surjective

Published on 15 Apr 2026 - 2:23

46

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Equality between an expression with $\sin x$ and $e^{it}$

Published on 10 May 2026 - 14:03

634

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Algorithm for converting complex sine wave to constituent simple sine waves

Published on 13 May 2026 - 1:40

327

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The limit of Dirichlet's Kernel

Published on 14 Apr 2026 - 7:43

72

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Prove that $\int_\mathbb{R^n} |(\lambda, x)|^pe^{-\pi |x|^2}dx= |\lambda|C_p$

Published on 10 May 2026 - 15:44

55

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What is the difference between $L^1$ and $\mathcal L^1$?

Published on 17 Apr 2026 - 2:11

430

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Construction a harmonic function

Published on 10 May 2026 - 23:48

382

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How to show that $\mathscr{P} \int_{-\infty}^{\infty} \frac{d\omega}{\sqrt{\omega^2}} e^{ - i \omega t }$ is equal to $- \log(t^2)$

Published on 10 May 2026 - 12:34

List Question

Reverse type $1-1$ inequality

How to calculate the Fourier transform of the Poisson kernel

The sum of Dirichlet's kernel

Find Fourier coefficients of $f(x)=e^{-|x|}$

Poisson and subharmonic equation

Quantitative control over Caratheodory Extension of a Riemann map, for the theorem of Bohr-Pal

Pointwise inequality between a function and its fractional maximal function

Showing that this version of the Fourier transoform ( on a circle ) is not surjective

Equality between an expression with $\sin x$ and $e^{it}$

Algorithm for converting complex sine wave to constituent simple sine waves

The limit of Dirichlet's Kernel

Prove that $\int_\mathbb{R^n} |(\lambda, x)|^pe^{-\pi |x|^2}dx= |\lambda|C_p$

What is the difference between $L^1$ and $\mathcal L^1$?

Construction a harmonic function

How to show that $\mathscr{P} \int_{-\infty}^{\infty} \frac{d\omega}{\sqrt{\omega^2}} e^{ - i \omega t }$ is equal to $- \log(t^2)$

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