List questions from harmonic-analysis

Published on 30 Mar 2026 - 1:46

158

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Finding Fourier coefficients of function $f$.

Published on 29 Mar 2026 - 17:31

57

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Measure upon which pointwise convergence of averaging operator fails in $L^1$

Published on 25 Mar 2026 - 19:11

42

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Complex function defined on the real axis by a power series

Published on 12 Jun 2019 - 9:43

112

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The Lebesgue measure on $\mathbb{T} = \Bbb{R}/2\pi\Bbb{Z}$

Published on 30 Mar 2026 - 5:15

16

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the optimal asymptotic behavior of the coefficient in the Hardy-Littlewood maximal inequality

Published on 17 Jun 2019 - 5:34

58

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$m\nmid n\implies \widehat{f_{(m)}}(n)=0$

Published on 17 Jun 2019 - 21:51

323

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Cyclic vector for the left regular representation

Published on 19 Jun 2019 - 5:10

105

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decomposing differentiable function into difference of monotonic functions

Published on 29 Mar 2026 - 10:18

831

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What is the $TT^*$ method?

Published on 25 Mar 2026 - 16:05

55

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Let $\mu$ be an integer $\geq2$. What is the Pontryagin Dual of $ \mathbb{Q}/\mu\mathbb{Z}$?

Published on 25 Jun 2019 - 22:42

90

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Integrability of Fourier transform under growth condition

Published on 30 Mar 2026 - 6:46

237

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Characters of $\mathbb A_k/k$

Published on 30 Jun 2019 - 21:01

76

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Why does Selberg trace formula generalize Frobenius formula for finite groups?

Published on 30 Jun 2019 - 23:50

48

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Uniform bound for a family of linear operators on $L^2$

Published on 27 Mar 2026 - 21:59

List Question

Applying low-pass filter to a signal

Finding Fourier coefficients of function $f$.

Measure upon which pointwise convergence of averaging operator fails in $L^1$

Complex function defined on the real axis by a power series

The Lebesgue measure on $\mathbb{T} = \Bbb{R}/2\pi\Bbb{Z}$

the optimal asymptotic behavior of the coefficient in the Hardy-Littlewood maximal inequality

$m\nmid n\implies \widehat{f_{(m)}}(n)=0$

Cyclic vector for the left regular representation

decomposing differentiable function into difference of monotonic functions

What is the $TT^*$ method?

Let $\mu$ be an integer $\geq2$. What is the Pontryagin Dual of $ \mathbb{Q}/\mu\mathbb{Z}$?

Integrability of Fourier transform under growth condition

Characters of $\mathbb A_k/k$

Why does Selberg trace formula generalize Frobenius formula for finite groups?

Uniform bound for a family of linear operators on $L^2$

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