List questions from harmonic-analysis

Published on 26 Mar 2026 - 3:00

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What are the maximal subgroups of a finite abelian group in terms of characters?

Published on 25 Mar 2026 - 15:42

85

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Proving a map onto

Published on 12 Apr 2026 - 1:50

133

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Folland: Find Irreducible Representations of $SU(2)$ and decomposition of $L^2$ via Fourier analysis on compact groups.

Published on 11 Apr 2026 - 19:32

79

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If$\int_0^{2\pi} |f^*(e^{i\theta})|^{1/3}d\theta <\infty$ then $f\in H^{1/3}(D) $

Published on 26 Mar 2026 - 3:01

39

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Confusion regarding notation in Alfsen's proof of Haar's existence theorem.

Published on 09 Apr 2026 - 7:47

45

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If $f\in H^1(\mathbb{R}^2)$, does $\Delta^{-1}\partial_xf(x,y)\in L^\infty(\mathbb{R}^2)$?

Published on 12 Apr 2026 - 15:55

193

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How to use Hardy-Littlewood-Sobolev inequality to estimate an integral involving two fuctions and Riesz Potential.

Published on 08 Apr 2026 - 20:31

37

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Log-Subharmonicity of the Bergman Kernel

Published on 11 Apr 2026 - 21:35

83

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Why to prove $f\in H^1\mathbb{(D)}$, it is enough to prove that $f\in L^1(|z|=1)$?

Published on 12 Apr 2026 - 21:49

127

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The Fourier transform of $\log^m|x|/x$

Published on 25 Mar 2026 - 15:17

1.7k

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Understanding Young's Convolution Inequality and its relation to Convex Bodies

Published on 11 Apr 2026 - 0:52

219

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Decomposition of the Delta Function on a Lie group in terms of irreps

Published on 10 Apr 2026 - 6:37

162

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Discreteness of Pontryagin dual of compact abelian group

Published on 12 Apr 2026 - 20:46

69

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If $G$ is a subgroup of the circle, then why is $\{(\text{id}\colon G\to\mathbb{T})^{n}:n\in\mathbb{Z}\}$ dense in the dual $\widehat{G}$?

Published on 27 Mar 2026 - 7:50

List Question

Prove $|| f||_{H^1}=||f^*||_{L^1}$

What are the maximal subgroups of a finite abelian group in terms of characters?

Proving a map onto

Folland: Find Irreducible Representations of $SU(2)$ and decomposition of $L^2$ via Fourier analysis on compact groups.

If$\int_0^{2\pi} |f^*(e^{i\theta})|^{1/3}d\theta <\infty$ then $f\in H^{1/3}(D) $

Confusion regarding notation in Alfsen's proof of Haar's existence theorem.

If $f\in H^1(\mathbb{R}^2)$, does $\Delta^{-1}\partial_xf(x,y)\in L^\infty(\mathbb{R}^2)$?

How to use Hardy-Littlewood-Sobolev inequality to estimate an integral involving two fuctions and Riesz Potential.

Log-Subharmonicity of the Bergman Kernel

Why to prove $f\in H^1\mathbb{(D)}$, it is enough to prove that $f\in L^1(|z|=1)$?

The Fourier transform of $\log^m|x|/x$

Understanding Young's Convolution Inequality and its relation to Convex Bodies

Decomposition of the Delta Function on a Lie group in terms of irreps

Discreteness of Pontryagin dual of compact abelian group

If $G$ is a subgroup of the circle, then why is $\{(\text{id}\colon G\to\mathbb{T})^{n}:n\in\mathbb{Z}\}$ dense in the dual $\widehat{G}$?

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