List questions from harmonic-analysis

Published on 11 May 2026 - 9:13

156

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The Integral of which the real part is the Poisson Integral of $f$, is Holomorphic

Published on 13 Apr 2026 - 22:13

339

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The measurability of convolution in locally compact group

Published on 05 May 2026 - 11:15

117

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Special case of Plancherel's implies Plancherel's

Published on 10 May 2026 - 17:37

56

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How to show the function achieves maximum at $a = 0$

Published on 10 May 2026 - 15:43

34

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Bound on Approach Regions

Published on 10 May 2026 - 10:58

4.6k

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Understanding Proof of Poisson Summation Formula

Published on 19 Apr 2026 - 19:38

2.2k

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Deduce Poisson's integral formula from the mean value theorem

Published on 11 Apr 2026 - 21:03

254

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Zero set of the Fourier transform of a singular measure

Published on 10 May 2026 - 18:44

320

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Can I expect $|x|^s - |y|^s \leq C|x-y|^s$ for $s>1$?

Published on 07 May 2026 - 13:15

1.2k

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Convolution theorem with distributions

Published on 10 May 2026 - 13:45

30

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Example of an element not lying in the $A_p$ class but in a slightly bigger class.

Published on 15 Apr 2026 - 23:12

173

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Let $G$ be a locally compact group with Haar measure $\mu$. Is right-translation continuous on $L^1(G,\mu)$?

Published on 13 Apr 2026 - 19:28

555

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Plancherel for tempered distributions, and when does equality as tempered distributions imply equality as functions.

Published on 10 May 2026 - 15:55

1.5k

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Heat kernel on the unit circle $\mathbb{R}/\mathbb{Z}$

Published on 10 May 2026 - 14:50

List Question

derivative of a square-integrable function on the sphere

The Integral of which the real part is the Poisson Integral of $f$, is Holomorphic

The measurability of convolution in locally compact group

Special case of Plancherel's implies Plancherel's

How to show the function achieves maximum at $a = 0$

Bound on Approach Regions

Understanding Proof of Poisson Summation Formula

Deduce Poisson's integral formula from the mean value theorem

Zero set of the Fourier transform of a singular measure

Can I expect $|x|^s - |y|^s \leq C|x-y|^s$ for $s>1$?

Convolution theorem with distributions

Example of an element not lying in the $A_p$ class but in a slightly bigger class.

Let $G$ be a locally compact group with Haar measure $\mu$. Is right-translation continuous on $L^1(G,\mu)$?

Plancherel for tempered distributions, and when does equality as tempered distributions imply equality as functions.

Heat kernel on the unit circle $\mathbb{R}/\mathbb{Z}$

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