List questions from harmonic-analysis

Published on 15 May 2023 - 20:09

44

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Does a level set of a harmonic function have an analytic parametrisation?

Published on 19 May 2023 - 7:57

40

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$f(x)=\frac{e^{ix^3}}{1+x^2}.$ Is the distribution $(1-\Delta)\hat{f}$ a bounded function?

Published on 01 Apr 2026 - 19:37

75

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(Conway) Local Mean Value property implies Mean Value property for harmonic functions in $\mathbf{C}$

Published on 24 May 2023 - 11:58

80

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Functions in $A(\mathbb{C})$ that vanish at zero

Published on 25 Mar 2026 - 14:29

34

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Lower bound of surface integral of harmonic functions?

Published on 26 Mar 2026 - 12:47

139

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Integral Inequality using Wirtinger's Inequality

Published on 30 May 2023 - 20:55

32

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Decay rate of a functional norm.

Published on 27 Mar 2026 - 3:49

33

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The structure of the generalised Fourier transform on multiple copies of a group.

Published on 08 Jun 2023 - 10:03

163

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Proof of a Caccioppoli type inequality

Published on 08 Jun 2023 - 17:39

104

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Too optimistic upper bound for $\int_a^b \frac{\sin(x)}{x} \mathrm{d}x$?

Published on 02 Apr 2026 - 2:43

52

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Integral over a group in terms of the dirac distribution

Published on 30 Mar 2026 - 7:07

164

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Principal value of 1/|x|

Published on 25 Mar 2026 - 17:45

124

Views

Boundedness of Newtonian potential

Published on 25 Mar 2026 - 3:22

53

Views

Is norm-continuous representation factored through a Lie quotient group?

Published on 26 Mar 2026 - 6:25

List Question

Name origin of the fractional integration inequality

Does a level set of a harmonic function have an analytic parametrisation?

$f(x)=\frac{e^{ix^3}}{1+x^2}.$ Is the distribution $(1-\Delta)\hat{f}$ a bounded function?

(Conway) Local Mean Value property implies Mean Value property for harmonic functions in $\mathbf{C}$

Functions in $A(\mathbb{C})$ that vanish at zero

Lower bound of surface integral of harmonic functions?

Integral Inequality using Wirtinger's Inequality

Decay rate of a functional norm.

The structure of the generalised Fourier transform on multiple copies of a group.

Proof of a Caccioppoli type inequality

Too optimistic upper bound for $\int_a^b \frac{\sin(x)}{x} \mathrm{d}x$?

Integral over a group in terms of the dirac distribution

Principal value of 1/|x|

Boundedness of Newtonian potential

Is norm-continuous representation factored through a Lie quotient group?

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