List questions from harmonic-analysis

Published on 17 Jun 2020 - 19:27

82

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Show that there exists $f \in L^1(G)$ such that $\hat{f} \ne 0$ and $\hat{f}=0$ on $\hat{G} \setminus E$

Published on 17 Jun 2020 - 21:07

36

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Uncertainty principle and support of functions

Published on 19 Jun 2020 - 9:06

134

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prove or disprove about piecewise continuous‏ functions

Published on 25 Mar 2026 - 13:04

48

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A Fourier inversion problem

Published on 20 Jun 2020 - 15:59

33

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proves and disproves about inner product spaces

Published on 20 Jun 2020 - 21:18

204

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What can be said about strong (p,q) and weak (p,q) properties of Hardy-Littlewood Maximal Function?

Published on 22 Jun 2020 - 11:32

92

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$\sum_{n\in \mathbb Z} \frac {|\hat f(n)|}{|n|} < \infty$ for all $f \in L^1(\Bbb{T})$?

Published on 22 Jun 2020 - 15:37

73

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Bessel's inequality with condition on the derivative

Published on 22 Jun 2020 - 15:38

84

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Find the Fourier coefficients of $h(x) = \sum_{|n|\geq 2}^{\infty} \frac{\sin(nx)}{n\ln(n)}$

Published on 22 Jun 2020 - 19:30

43

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The product of $\phi$ is a Schwartz function with $m \in L^\infty$.

Published on 26 Mar 2026 - 7:34

87

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Fourier multiplier theorem on Lebesgue spaces

Published on 27 Jun 2020 - 10:50

41

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Uniform continuity of the left translation operator

Published on 27 Jun 2020 - 11:30

42

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Kernel whose corresponding convolution mapping maps $L^1$ to $L^{1,\infty}$

Published on 27 Jun 2020 - 14:12

99

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Does the operator $(\hat{f}\cdot m )^\vee$ maps Schwartz in it self?

Published on 28 Jun 2020 - 16:51

List Question

Is every module automorphism diagonalized by irreps?

Show that there exists $f \in L^1(G)$ such that $\hat{f} \ne 0$ and $\hat{f}=0$ on $\hat{G} \setminus E$

Uncertainty principle and support of functions

prove or disprove about piecewise continuous‏ functions

A Fourier inversion problem

proves and disproves about inner product spaces

What can be said about strong (p,q) and weak (p,q) properties of Hardy-Littlewood Maximal Function?

$\sum_{n\in \mathbb Z} \frac {|\hat f(n)|}{|n|} < \infty$ for all $f \in L^1(\Bbb{T})$?

Bessel's inequality with condition on the derivative

Find the Fourier coefficients of $h(x) = \sum_{|n|\geq 2}^{\infty} \frac{\sin(nx)}{n\ln(n)}$

The product of $\phi$ is a Schwartz function with $m \in L^\infty$.

Fourier multiplier theorem on Lebesgue spaces

Uniform continuity of the left translation operator

Kernel whose corresponding convolution mapping maps $L^1$ to $L^{1,\infty}$

Does the operator $(\hat{f}\cdot m )^\vee$ maps Schwartz in it self?

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