List questions from harmonic-analysis

Published on 29 Nov 2017 - 15:35

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Positive definite functions attain their maximum at the identity

Published on 10 Apr 2026 - 18:52

74

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The inequality for the weak of $L^p$,where $p\in(0,1)$

Published on 02 Dec 2017 - 13:18

415

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Fourier Transform of Measures on Hilbert, Banach, or general Topological Vector Space

Published on 01 Apr 2026 - 10:08

396

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A question about Hardy-Littlewood maximal function and a characterization of measurable sets.

Published on 11 Apr 2026 - 2:41

68

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Is the space of spherical vectors always one (or zero) dimensional?

Published on 10 Dec 2017 - 21:04

27

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Is there an $F \in L^2({\mathbb{T}})$ s,t $\hat{F} = 1/\sqrt{n}$ for $n \geq 1$?

Published on 12 Dec 2017 - 15:32

57

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$f\in$ BMO, $A$ invertible linear transform. Is then $f\circ A$ in BMO?

Published on 12 Dec 2017 - 20:06

96

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Differentiability of a multidimensional integral

Published on 08 Apr 2026 - 22:45

92

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Lemma 1.4.3 A First Course in Harmonic Analysis

Published on 31 Mar 2026 - 15:06

145

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Regular representation of reals has no irreducible subrepresentation

Published on 16 Dec 2017 - 21:32

111

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Theorem 2.3.2 A First Course in Harmonic Analysis

Published on 29 Mar 2026 - 12:03

104

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Corollary 3.4.7 of A First Course in Harmonic Analysis

Published on 10 Apr 2026 - 17:25

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$f\in L^1_{\text{bc}}\left(\mathbb R\right)$ and $x^2f\left(x\right)$ bounded $\implies$ $\sum_{k\in\mathbb Z}f\left(x+k\right)$ uniformly convergent

Published on 21 Dec 2017 - 0:12

175

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Harmonic Number for $H_{n+1}$ and $H_{n+\frac{1}{2}}$

Published on 10 Apr 2026 - 5:21

List Question

Dense subset of space of measures respecting a stronger norm

Positive definite functions attain their maximum at the identity

The inequality for the weak of $L^p$,where $p\in(0,1)$

Fourier Transform of Measures on Hilbert, Banach, or general Topological Vector Space

A question about Hardy-Littlewood maximal function and a characterization of measurable sets.

Is the space of spherical vectors always one (or zero) dimensional?

Is there an $F \in L^2({\mathbb{T}})$ s,t $\hat{F} = 1/\sqrt{n}$ for $n \geq 1$?

$f\in$ BMO, $A$ invertible linear transform. Is then $f\circ A$ in BMO?

Differentiability of a multidimensional integral

Lemma 1.4.3 A First Course in Harmonic Analysis

Regular representation of reals has no irreducible subrepresentation

Theorem 2.3.2 A First Course in Harmonic Analysis

Corollary 3.4.7 of A First Course in Harmonic Analysis

$f\in L^1_{\text{bc}}\left(\mathbb R\right)$ and $x^2f\left(x\right)$ bounded $\implies$ $\sum_{k\in\mathbb Z}f\left(x+k\right)$ uniformly convergent

Harmonic Number for $H_{n+1}$ and $H_{n+\frac{1}{2}}$

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