List questions from harmonic-analysis

Published on 23 Aug 2020 - 20:01

319

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Proving Mean value property of harmonic functions using Divergence Theorem

Published on 12 Apr 2026 - 4:41

182

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When is trigonometric series the Fourier series of some function? (related to the book "Fourier and wavelet analysis"-Bachman)

Published on 29 Mar 2026 - 21:02

476

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Problem books on harmonic analysis?

Published on 11 Apr 2026 - 22:02

208

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Confusing step in the proof of Beurling projection theorem

Published on 12 Apr 2026 - 5:52

351

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Energy Estimate of Damped Wave Equation

Published on 01 Apr 2026 - 13:09

214

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$\int gf \, d \lambda = 0$ for all continuous $g$ implies $f=0$ almost surely"

Published on 04 Sep 2020 - 19:29

79

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$\int_{\Bbb{T}} e_n(\lambda) |\varphi(\lambda)|^2 = 0$ for all $n \neq 0$ implies $|\varphi|^2$ is constant almost surely

Published on 27 Mar 2026 - 1:52

238

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Lp Convergence of Fourier Integrals Using Hilbert Transform

Published on 26 Mar 2026 - 1:03

90

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convergence involving Fourier transforms

Published on 11 Apr 2026 - 11:33

106

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Convergence of the derivative in Schwartz space

Published on 27 Mar 2026 - 14:58

61

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Pass the derivative under integral

Published on 13 Sep 2020 - 4:19

43

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Show that $\int \frac{1}{x-z}\,\mathrm{d}\mu(x)$ exists on the upper half-plane if $\int (1+|x|)^{-1}\,\mathrm{d}\mu(x)<\infty$

Published on 20 Sep 2020 - 5:29

51

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Boundness of Hilbert Transform - Finding an absolute constant for $0<p<1$

Published on 28 Mar 2026 - 5:59

42

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Manifold as a quotient?

Published on 26 Mar 2026 - 7:57

List Question

special sum of ratio of Gamma functions

Proving Mean value property of harmonic functions using Divergence Theorem

When is trigonometric series the Fourier series of some function? (related to the book "Fourier and wavelet analysis"-Bachman)

Problem books on harmonic analysis?

Confusing step in the proof of Beurling projection theorem

Energy Estimate of Damped Wave Equation

$\int gf \, d \lambda = 0$ for all continuous $g$ implies $f=0$ almost surely"

$\int_{\Bbb{T}} e_n(\lambda) |\varphi(\lambda)|^2 = 0$ for all $n \neq 0$ implies $|\varphi|^2$ is constant almost surely

Lp Convergence of Fourier Integrals Using Hilbert Transform

convergence involving Fourier transforms

Convergence of the derivative in Schwartz space

Pass the derivative under integral

Show that $\int \frac{1}{x-z}\,\mathrm{d}\mu(x)$ exists on the upper half-plane if $\int (1+|x|)^{-1}\,\mathrm{d}\mu(x)<\infty$

Boundness of Hilbert Transform - Finding an absolute constant for $0<p<1$

Manifold as a quotient?

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