List questions from harmonic-analysis

Published on 28 Mar 2026 - 3:35

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Is the zero set of a non zero real valued harmonic function discrete?

Published on 11 Apr 2026 - 20:36

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Help proving Calderón reproducing formula (simple version)

Published on 12 Apr 2026 - 4:05

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A Quadratic Maximum?

Published on 08 Apr 2026 - 23:25

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Variation on a completeness relation

Published on 26 Mar 2026 - 18:57

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Proof of Euler's general formula for a sum involving harmonic numbers

Published on 11 Apr 2026 - 8:18

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$i^{-k}\pi^{n/2}\Gamma(\frac{k}{2})/\Gamma(\frac{n+k}{2})\approx k^{-n/2}~~(k\rightarrow \infty)$

Published on 06 Feb 2013 - 12:58

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Prove partial derivatives of uniformly convergent harmonic functions converge to the partial derivative of the limit of the sequence.

Published on 07 Feb 2013 - 0:12

86

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$L$ elliptic diff op $\implies$ singsupp$(u)\subseteq$singsupp$(Lu)$ for distributions $u$?

Published on 09 Apr 2026 - 11:37

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Fourier transform of a function is square integrable

Published on 10 Apr 2026 - 8:34

167

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Can we do some scaling argument in the presence of inhomogeneous norms?

Published on 09 Apr 2026 - 5:15

339

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Orthonormal basis in Hilbert spaces

Published on 09 Apr 2026 - 23:23

34

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$(y^2+2iy)^{m-\frac{1}{2}}=y^{m-\frac{1}{2}}(2i)^{m-\frac{1}{2}}+O(y^{m+\frac{1}{2}})(0\leq y \leq 1)?$

Published on 01 Mar 2013 - 10:57

61

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$\int_{-\infty}^{\infty}f '\bar{f}'+x^2 f\bar{f}dx\geq \int_{-\infty}^{\infty}|f|^2 dx$?

Published on 02 Mar 2013 - 13:29

906

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Riemann-Lebesgue lemma and absolute continuity

Published on 04 Mar 2013 - 17:57

List Question

How to calculate HarmonicNumber(x, 1.6)?

Is the zero set of a non zero real valued harmonic function discrete?

Help proving Calderón reproducing formula (simple version)

A Quadratic Maximum?

Variation on a completeness relation

Proof of Euler's general formula for a sum involving harmonic numbers

$i^{-k}\pi^{n/2}\Gamma(\frac{k}{2})/\Gamma(\frac{n+k}{2})\approx k^{-n/2}~~(k\rightarrow \infty)$

Prove partial derivatives of uniformly convergent harmonic functions converge to the partial derivative of the limit of the sequence.

$L$ elliptic diff op $\implies$ singsupp$(u)\subseteq$singsupp$(Lu)$ for distributions $u$?

Fourier transform of a function is square integrable

Can we do some scaling argument in the presence of inhomogeneous norms?

Orthonormal basis in Hilbert spaces

$(y^2+2iy)^{m-\frac{1}{2}}=y^{m-\frac{1}{2}}(2i)^{m-\frac{1}{2}}+O(y^{m+\frac{1}{2}})(0\leq y \leq 1)?$

$\int_{-\infty}^{\infty}f '\bar{f}'+x^2 f\bar{f}dx\geq \int_{-\infty}^{\infty}|f|^2 dx$?

Riemann-Lebesgue lemma and absolute continuity

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