List questions from harmonic-analysis

Published on 10 May 2026 - 15:54

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A integrable condition for the distance to boundary function

Published on 11 May 2026 - 7:16

199

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Continuity of left translation as a function of the group elements

Published on 10 May 2026 - 17:37

108

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Rudin's Proof of the Dirichlet Problem

Published on 12 Apr 2026 - 12:03

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What is $l^2(\mathbb{Z}^2)$?

Published on 13 Apr 2026 - 5:20

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Proof of the estimate $\;\| D^{2} u \|_{L^{p}}\sim \| \Delta u \|_{L^{p}}$ when $p>1$

Published on 16 Apr 2026 - 2:30

105

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Showing that $\{ \psi_i \}$ forms an orthonormal basis iff $\{ \widehat{\psi}_i \}$ forms an orthonormal basis in $L^2(\mathbb{R})$

Published on 17 Apr 2026 - 14:49

43

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let $T\subseteq [-\pi,\pi]$ be any countable set . show that there is a $f\in C(\mathbb{T})$ such that $S_N f(x)$ diverge at each $x\in {T}$

Published on 10 May 2026 - 23:40

35

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Understanding a Step from a Proof involving Haar Functions

Published on 10 Apr 2026 - 6:42

47

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An example of an expectation operator that is uniformly bounded

Published on 10 Apr 2026 - 8:43

200

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Pontryagin Self-Duality

Published on 10 May 2026 - 17:58

25

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Is it possible to find a superharmonic function with such conditions

Published on 09 Apr 2026 - 15:04

591

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Riemann Lebesgue lemma on $L^2(\mathbb{R})$

Published on 15 Apr 2026 - 12:55

63

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Alternating harmonic series with logarithmic exponent

Published on 14 Apr 2026 - 15:12

234

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Is the product of two Sobolev functions in $L^p$?

Published on 12 Apr 2026 - 8:50

List Question

Delta distribution is not induced by and tempered function

A integrable condition for the distance to boundary function

Continuity of left translation as a function of the group elements

Rudin's Proof of the Dirichlet Problem

What is $l^2(\mathbb{Z}^2)$?

Proof of the estimate $\;\| D^{2} u \|_{L^{p}}\sim \| \Delta u \|_{L^{p}}$ when $p>1$

Showing that $\{ \psi_i \}$ forms an orthonormal basis iff $\{ \widehat{\psi}_i \}$ forms an orthonormal basis in $L^2(\mathbb{R})$

let $T\subseteq [-\pi,\pi]$ be any countable set . show that there is a $f\in C(\mathbb{T})$ such that $S_N f(x)$ diverge at each $x\in {T}$

Understanding a Step from a Proof involving Haar Functions

An example of an expectation operator that is uniformly bounded

Pontryagin Self-Duality

Is it possible to find a superharmonic function with such conditions

Riemann Lebesgue lemma on $L^2(\mathbb{R})$

Alternating harmonic series with logarithmic exponent

Is the product of two Sobolev functions in $L^p$?

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