List questions from harmonic-analysis

Published on 17 Apr 2026 - 5:16

137

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Fourier Restriction: extension operator identity

Published on 11 Apr 2026 - 10:49

184

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How does one prove the inequality $1+|x|\le (1+|y|)(1+|x-y|)$?

Published on 16 Apr 2026 - 13:44

33

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Showing continuity of a function defined as the integral of $\chi \mapsto \chi(x)$ over the dual group $\hat G$

Published on 13 Apr 2026 - 14:14

154

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Failure of Schur's lemma for topological group representations

Published on 09 Apr 2026 - 22:25

240

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Why the definition of harmonic function needs twice " continuously " differentiable?

Published on 11 Apr 2026 - 1:10

135

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Computing the Fourier Transform of a Discrete Shearlet

Published on 11 Apr 2026 - 23:35

263

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Does the Fourier transform commute with the spherical average operator?

Published on 11 May 2026 - 10:00

58

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Grassmannians as Gelfand Pairs

Published on 11 May 2026 - 2:19

81

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Approximation of an element in the dual of the Sobolev Space

Published on 11 May 2026 - 8:02

1.1k

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Hölder norm of the Hilbert Transform

Published on 17 Apr 2026 - 4:58

363

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Questions about studying abstract harmonic analysis

Published on 09 Apr 2026 - 6:48

174

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Is the solution to the Poisson equation an analytic function in general?

Published on 10 May 2026 - 20:33

418

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Are all the radial, positive homogeneous of degree $a\in(-N,0)$ tempered distributions of $\mathbb{R}^N$ proportional to $x\mapsto |x|^a$?

Published on 12 Apr 2026 - 5:28

246

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Weak-$*$ topology on algebraic dual

Published on 10 May 2026 - 15:08

List Question

Number of circles with equal radius around a point

Fourier Restriction: extension operator identity

How does one prove the inequality $1+|x|\le (1+|y|)(1+|x-y|)$?

Showing continuity of a function defined as the integral of $\chi \mapsto \chi(x)$ over the dual group $\hat G$

Failure of Schur's lemma for topological group representations

Why the definition of harmonic function needs twice " continuously " differentiable?

Computing the Fourier Transform of a Discrete Shearlet

Does the Fourier transform commute with the spherical average operator?

Grassmannians as Gelfand Pairs

Approximation of an element in the dual of the Sobolev Space

Hölder norm of the Hilbert Transform

Questions about studying abstract harmonic analysis

Is the solution to the Poisson equation an analytic function in general?

Are all the radial, positive homogeneous of degree $a\in(-N,0)$ tempered distributions of $\mathbb{R}^N$ proportional to $x\mapsto |x|^a$?

Weak-$*$ topology on algebraic dual

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