List questions from harmonic-analysis

Published on 12 Apr 2026 - 13:14

105

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Question about a Corollary of Grafakos's "Modern Fourier Analysis"

Published on 11 Apr 2026 - 5:11

154

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Is a certain map $\mathbb{R}\to \widehat{\mathbb{R}}$ a homeomorphism?

Published on 15 Apr 2026 - 11:33

169

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problem on $L^2$ (pointwise) convergence and Carleson's Theorem

Published on 17 Apr 2026 - 13:40

363

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Dual of $L \log L(\mathbb{R})$

Published on 13 Apr 2026 - 16:40

139

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When does Inverse Fourier transform look close to a positive definite function?

Published on 12 Apr 2026 - 8:01

115

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Absolute value of functions in $H^1(\mathbb R^n)$

Published on 14 Apr 2026 - 12:58

115

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The miraculous nature of the "matrix coefficients" $\langle Tv,v \rangle$ (especially in the context of positive type functions)

Published on 10 Apr 2026 - 16:40

97

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A sequence of harmonic functions on $\mathbb{R}^{2}$ converging in distribution must necessarily converge locally uniformly to an harmonic function.

Published on 13 Apr 2026 - 2:05

103

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Counstruct a sequence of Schwartz functions

Published on 13 Apr 2026 - 12:31

177

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$\sigma(\oplus_{n=0}^\infty A_n) =\overline{\bigcup_n \sigma(A_n)}$?

Published on 12 Apr 2026 - 3:53

179

Views

Unique Haar measure on quotient is pushforward

Published on 15 Apr 2026 - 10:32

48

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How many positive harmonic functions are there on a half-space for a vanishing boundary condition

Published on 14 Apr 2026 - 21:11

22

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Fourier inversion of a certain mean

Published on 13 Apr 2026 - 19:46

222

Views

Convolution of $L^1$ and Schwartz function

Published on 14 Apr 2026 - 17:27

List Question

Prove a relation involving the Laplace–Beltrami operator and spherical harmonics

Question about a Corollary of Grafakos's "Modern Fourier Analysis"

Is a certain map $\mathbb{R}\to \widehat{\mathbb{R}}$ a homeomorphism?

problem on $L^2$ (pointwise) convergence and Carleson's Theorem

Dual of $L \log L(\mathbb{R})$

When does Inverse Fourier transform look close to a positive definite function?

Absolute value of functions in $H^1(\mathbb R^n)$

The miraculous nature of the "matrix coefficients" $\langle Tv,v \rangle$ (especially in the context of positive type functions)

A sequence of harmonic functions on $\mathbb{R}^{2}$ converging in distribution must necessarily converge locally uniformly to an harmonic function.

Counstruct a sequence of Schwartz functions

$\sigma(\oplus_{n=0}^\infty A_n) =\overline{\bigcup_n \sigma(A_n)}$?

Unique Haar measure on quotient is pushforward

How many positive harmonic functions are there on a half-space for a vanishing boundary condition

Fourier inversion of a certain mean

Convolution of $L^1$ and Schwartz function

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