List questions from harmonic-analysis

Published on 08 Apr 2026 - 20:10

65

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Confusion regarding terminology in Distribution theory and Calderon-Zygmund Theorem.

Published on 18 Apr 2026 - 23:29

820

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Really: why is the Kelvin transform harmonic?

Published on 15 Apr 2026 - 10:40

35

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Why is the inner negative sign required for defining an involution over $L^1(\mathbb{R})$?

Published on 16 Apr 2026 - 10:14

57

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Reason dividing phase part by $N$ in discrete Fourier transform.

Published on 14 Apr 2026 - 8:15

55

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The eigenvectors of DFT

Published on 12 Apr 2026 - 11:28

66

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Shell average and harmonic function

Published on 11 Apr 2026 - 12:54

62

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Does $\lim_{|x|\to\infty}F(x)=0$ imply $F=\sum_j P_j F$?

Published on 26 Mar 2026 - 11:17

610

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Understanding a proof of the Harnack's inequality

Published on 12 Apr 2026 - 8:27

40

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Semantics of the mean-value formulas for Laplace's equation in Evan's Partial Differential Equations: Do we need to have $\overline{B(x,r})\subset U$?

Published on 16 Apr 2026 - 9:27

96

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About "incidence" of cosets in homogeneous Riemannian manifolds and their distance

Published on 13 Apr 2026 - 12:51

68

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How to show Bochner-hecke identity for homogeneous harmonic polynomials?

Published on 11 Apr 2026 - 6:04

142

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$L^2$ bounded Fourier multipliers

Published on 14 Apr 2026 - 4:52

38

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Frequency multiplier.

Published on 11 Apr 2026 - 16:24

152

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Trouble with "very simple" lemma from Kenig.

Published on 25 Mar 2026 - 18:09

List Question

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

Confusion regarding terminology in Distribution theory and Calderon-Zygmund Theorem.

Really: why is the Kelvin transform harmonic?

Why is the inner negative sign required for defining an involution over $L^1(\mathbb{R})$?

Reason dividing phase part by $N$ in discrete Fourier transform.

The eigenvectors of DFT

Shell average and harmonic function

Does $\lim_{|x|\to\infty}F(x)=0$ imply $F=\sum_j P_j F$?

Understanding a proof of the Harnack's inequality

Semantics of the mean-value formulas for Laplace's equation in Evan's Partial Differential Equations: Do we need to have $\overline{B(x,r})\subset U$?

About "incidence" of cosets in homogeneous Riemannian manifolds and their distance

How to show Bochner-hecke identity for homogeneous harmonic polynomials?

$L^2$ bounded Fourier multipliers

Frequency multiplier.

Trouble with "very simple" lemma from Kenig.

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