List questions from harmonic-analysis

61

Views

Show that $S_{n}(\sigma_{n}f)=\sigma_{n}(f)$ where $\sigma_{n}(f)=\dfrac{1}{n+1}(S_{0}f+\cdots+S_{n}f)$.

Published on 07 Feb 2020 - 20:48

125

Views

How does one invert a p-adic mellin transform, and what does it say about function asymptotics?

Published on 25 Mar 2026 - 10:52

101

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Prove that Neumann Boundary conditions allow for even reflection

Published on 17 Feb 2020 - 21:10

83

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Hausdorffness on Topological Quotient Group

Published on 25 Mar 2026 - 22:10

26

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Question about Sets of Divergence

Published on 27 Feb 2020 - 11:02

96

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Representation theory: terminology

Published on 20 Feb 2020 - 11:16

584

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L2 norm inequality respect to convolution on $S^1$

Published on 30 Mar 2026 - 1:53

54

Views

Set inequalities

Published on 02 Mar 2020 - 20:41

445

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Representation of translation invariant distribution

Published on 29 Mar 2026 - 23:43

37

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A sequence of functions such that $\hat{f}_\alpha(\gamma) = 1$ and $\lim_{\alpha \rightarrow \infty} f_\alpha * f = 0$ if $\hat{f}(\gamma)=0$.

Published on 04 Mar 2020 - 5:40

251

Views

Group Convolution is Associative

Published on 25 Mar 2026 - 20:39

160

Views

The $L^{1}$ convergence of $f_{k}(x):=f(kx)$ where $f(x)$ is a $2\pi-$periodic function

Published on 28 Mar 2026 - 1:48

365

Views

Show that $f_{k}\longrightarrow f$ both weakly in $L^{p}$ and a.e. implies $|f_{k}|^{p}-|f|^{p}-|f_{k}-f|^{p}$ converges to $0$ in distribution

Published on 29 Mar 2026 - 19:14

368

Views

Dirichlet to Neumann operator in the unit ball with Fourier Analysis

Published on 06 Mar 2020 - 20:14

170

Views

Prove the operator given by convolution with homogeneous function $u$ maps $L^{2}(\mathbb{R}^{n})$ to $L^{2}(\mathbb{R}^{n})$

Published on 25 Mar 2026 - 9:36

List Question

Show that $S_{n}(\sigma_{n}f)=\sigma_{n}(f)$ where $\sigma_{n}(f)=\dfrac{1}{n+1}(S_{0}f+\cdots+S_{n}f)$.

How does one invert a p-adic mellin transform, and what does it say about function asymptotics?

Prove that Neumann Boundary conditions allow for even reflection

Hausdorffness on Topological Quotient Group

Question about Sets of Divergence

Representation theory: terminology

L2 norm inequality respect to convolution on $S^1$

Set inequalities

Representation of translation invariant distribution

A sequence of functions such that $\hat{f}_\alpha(\gamma) = 1$ and $\lim_{\alpha \rightarrow \infty} f_\alpha * f = 0$ if $\hat{f}(\gamma)=0$.

Group Convolution is Associative

The $L^{1}$ convergence of $f_{k}(x):=f(kx)$ where $f(x)$ is a $2\pi-$periodic function

Show that $f_{k}\longrightarrow f$ both weakly in $L^{p}$ and a.e. implies $|f_{k}|^{p}-|f|^{p}-|f_{k}-f|^{p}$ converges to $0$ in distribution

Dirichlet to Neumann operator in the unit ball with Fourier Analysis

Prove the operator given by convolution with homogeneous function $u$ maps $L^{2}(\mathbb{R}^{n})$ to $L^{2}(\mathbb{R}^{n})$

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