List questions from harmonic-analysis

Published on 16 Apr 2026 - 18:52

124

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Is assigning the central character a quotient map?

Published on 12 Apr 2026 - 8:45

54

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$H^p$ is not a Banach space for $p<1$?

Published on 25 Mar 2026 - 16:44

261

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Translation invariant operators in $L^p$ spaces

Published on 15 Apr 2026 - 16:31

113

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A calculation detail about Hardy-Littlewood maximal operator from the book "Classical Fourier Analysis"

Published on 08 Apr 2026 - 16:55

90

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About superharmonic functions

Published on 10 Apr 2026 - 10:19

46

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Abstract harmonic analysis generalization of Shannon’s sampling theorem for the Fourier transform?

Published on 16 Apr 2026 - 17:59

48

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Interpolation from unevenly distributed points of function with compactly supported Fourier transform

Published on 25 Mar 2026 - 11:10

138

Views

Estimate of higher order derivatives like $D^{\alpha}(|\xi|^k)$ and $D^{\alpha}(e^{-t|\xi| / 2})$

Published on 14 Apr 2026 - 9:15

158

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The decay of Fourier coefficients and the continuity of functions.

Published on 11 Apr 2026 - 9:47

152

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Convergence of Cesaro sum of Fourier series at lebesgue points.

Published on 11 Apr 2026 - 6:59

129

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If the Fourier transform of a function $f$ is real valued then $f$ is an even real valued function

Published on 13 Apr 2026 - 21:19

46

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Bounding integral with quadratic complex exponential

Published on 17 Apr 2026 - 9:35

163

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Showing that if $f$ is in Schwartz space $\mathscr{S}(\mathbb{R})$ then its Fourier transform is also in $\mathscr{S}(\mathbb{R})$

Published on 14 Apr 2026 - 21:32

237

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$ f\in L^1(\mathbb{R}) $, $ f $ is continuous at $ 0 $, $ \widehat{f}\geq 0 $, show that $ \widehat{f}\in L^1(\mathbb{R}) $.

Published on 16 Apr 2026 - 10:35

List Question

Estimate of an oscillatory integral in Stein's book

Is assigning the central character a quotient map?

$H^p$ is not a Banach space for $p<1$?

Translation invariant operators in $L^p$ spaces

A calculation detail about Hardy-Littlewood maximal operator from the book "Classical Fourier Analysis"

About superharmonic functions

Abstract harmonic analysis generalization of Shannon’s sampling theorem for the Fourier transform?

Interpolation from unevenly distributed points of function with compactly supported Fourier transform

Estimate of higher order derivatives like $D^{\alpha}(|\xi|^k)$ and $D^{\alpha}(e^{-t|\xi| / 2})$

The decay of Fourier coefficients and the continuity of functions.

Convergence of Cesaro sum of Fourier series at lebesgue points.

If the Fourier transform of a function $f$ is real valued then $f$ is an even real valued function

Bounding integral with quadratic complex exponential

Showing that if $f$ is in Schwartz space $\mathscr{S}(\mathbb{R})$ then its Fourier transform is also in $\mathscr{S}(\mathbb{R})$

$ f\in L^1(\mathbb{R}) $, $ f $ is continuous at $ 0 $, $ \widehat{f}\geq 0 $, show that $ \widehat{f}\in L^1(\mathbb{R}) $.

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