List questions from harmonic-analysis

Published on 11 Apr 2026 - 13:01

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Is Dirichlet energy related with entropy?

Published on 08 Apr 2026 - 21:47

30

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Let $G=SO(3)$ and $\theta:G\to G$ defined by $\theta(g)=JgJ$ where $J=\text{diag}(-1,1,1)$. Prove that, $\theta(g)\in Kg^{-1}K$ where $K=SO(2)$

Published on 09 Apr 2026 - 11:23

66

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Mean value formula for harmonic functions on product of spheres

Published on 13 Apr 2026 - 11:02

59

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Fourier transforms of multidimensional "delta subspace" distributions

Published on 14 Apr 2026 - 11:33

21

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Integrating on a subspace of a scalar field = integrating on the orthogonal subspace of the Fourier transform

Published on 14 Apr 2026 - 15:21

143

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Spectral theory over 2D torus

Published on 11 Apr 2026 - 11:12

130

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Is this simple operator bounded from $L^p([1,2])$ to $L^p([0,1])$?

Published on 14 Apr 2026 - 8:03

159

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On a Stopping Time Argument in Harmonic Analysis

Published on 10 Apr 2026 - 18:46

81

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A question on Banach space involving an invariant mean on $\mathbb Z$

Published on 14 Apr 2026 - 15:08

26

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Determine where function is discontinuous by its fourier coefficients

Published on 12 Apr 2026 - 4:22

257

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Convolution inequality $\|f\star g\|_p \le \|f\|_1 \|g\|_p$ on locally compact group

Published on 17 Apr 2026 - 14:29

74

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$\int_{|y|>\epsilon}\frac{|\Omega(y/|y|)|}{|y|^n}|f(x-y)|\,dy<\infty \text{ for a.e.} x\in \mathbb R^n$, where $f\in L^p$ and $\Omega\in L^1(S^{n-1})$

Published on 25 Mar 2026 - 16:40

240

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Validity of Poisson summation formula

Published on 11 Apr 2026 - 3:33

157

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Multi-dimensional Dirichlet-Dini criterion for Fourier series

Published on 12 Apr 2026 - 15:34

List Question

Fourier transform of a time-variant convolution

Is Dirichlet energy related with entropy?

Let $G=SO(3)$ and $\theta:G\to G$ defined by $\theta(g)=JgJ$ where $J=\text{diag}(-1,1,1)$. Prove that, $\theta(g)\in Kg^{-1}K$ where $K=SO(2)$

Mean value formula for harmonic functions on product of spheres

Fourier transforms of multidimensional "delta subspace" distributions

Integrating on a subspace of a scalar field = integrating on the orthogonal subspace of the Fourier transform

Spectral theory over 2D torus

Is this simple operator bounded from $L^p([1,2])$ to $L^p([0,1])$?

On a Stopping Time Argument in Harmonic Analysis

A question on Banach space involving an invariant mean on $\mathbb Z$

Determine where function is discontinuous by its fourier coefficients

Convolution inequality $\|f\star g\|_p \le \|f\|_1 \|g\|_p$ on locally compact group

$\int_{|y|>\epsilon}\frac{|\Omega(y/|y|)|}{|y|^n}|f(x-y)|\,dy<\infty \text{ for a.e.} x\in \mathbb R^n$, where $f\in L^p$ and $\Omega\in L^1(S^{n-1})$

Validity of Poisson summation formula

Multi-dimensional Dirichlet-Dini criterion for Fourier series

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