List questions from harmonic-analysis

Published on 10 Apr 2026 - 11:09

89

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Interpolation inequality of fourier transformation

Published on 12 Apr 2026 - 6:53

123

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Reference request for Calderón-Zygmund theory

Published on 15 Apr 2026 - 13:07

86

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About Hecke-Bochner identity

Published on 15 Apr 2026 - 13:27

35

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For $u$ harmonic and positive in $B(0,R)$, we have $R^{n-1}\frac{R+|x|}{(R-|x|)^{n-1}}u(0) \le u(x) \le R^{n-1} \frac{R - |x|}{(R + |x|)^{n-1}} u(0)$

Published on 16 Apr 2026 - 13:22

135

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Find a unique solution to the following Dirichlet problem.

Published on 13 Apr 2026 - 15:57

85

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Fourier transform in light of representation theory and irreducible representations

Published on 12 Apr 2026 - 13:36

66

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A question about the relationship between the laplace transform and the Fourier transform

Published on 10 Apr 2026 - 18:13

135

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Fourier series: Does pointwise convergence and absolute summability imply uniform convergence?

Published on 13 Apr 2026 - 19:25

216

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Textbook reference for a first course in Harmonic Analysis/Fourier Series

Published on 11 Apr 2026 - 13:41

59

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Bounding an Oscillatory Integral Operator involving the phase $|x-y|$

Published on 16 Apr 2026 - 21:51

222

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Why does $f$ continuous and its Fourier coefficient converges absolutely implies the Fourier series converges uniformly?

Published on 15 Apr 2026 - 13:19

111

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Splitting of a topological vector space (TVS) into an (a) countable sum and (b) direct integral of subspaces

Published on 12 Apr 2026 - 7:25

436

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What is the relation between the shift operator for derivatives and Fourier transforms?

Published on 12 Apr 2026 - 11:52

381

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Is a compactly supported function on a locally compact Hausdorff space uniformly continuous?

Published on 08 Apr 2026 - 18:39

List Question

Relating a function to its shifted averages

Interpolation inequality of fourier transformation

Reference request for Calderón-Zygmund theory

About Hecke-Bochner identity

For $u$ harmonic and positive in $B(0,R)$, we have $R^{n-1}\frac{R+|x|}{(R-|x|)^{n-1}}u(0) \le u(x) \le R^{n-1} \frac{R - |x|}{(R + |x|)^{n-1}} u(0)$

Find a unique solution to the following Dirichlet problem.

Fourier transform in light of representation theory and irreducible representations

A question about the relationship between the laplace transform and the Fourier transform

Fourier series: Does pointwise convergence and absolute summability imply uniform convergence?

Textbook reference for a first course in Harmonic Analysis/Fourier Series

Bounding an Oscillatory Integral Operator involving the phase $|x-y|$

Why does $f$ continuous and its Fourier coefficient converges absolutely implies the Fourier series converges uniformly?

Splitting of a topological vector space (TVS) into an (a) countable sum and (b) direct integral of subspaces

What is the relation between the shift operator for derivatives and Fourier transforms?

Is a compactly supported function on a locally compact Hausdorff space uniformly continuous?

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