List questions from harmonic-analysis

Published on 07 Apr 2023 - 20:38

32

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Decay of Fourier transform of test functions with fixed support

Published on 10 Apr 2023 - 15:13

118

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Directional Hardy-Littlewood maximal function

Published on 11 Apr 2023 - 20:40

169

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On different types of convergence of Fourier Series.

Published on 11 Apr 2023 - 22:58

47

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Functions with Fourier support in $[0,\infty)$.

Published on 12 Apr 2023 - 17:15

70

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Use of Plancherel theorem in classical Paley Wiener theorem

Published on 15 Apr 2023 - 10:18

236

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BMO is Banach Space

Published on 16 Apr 2023 - 15:09

160

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Showing that $\{\sqrt{2}\sin(\pi n x): n\in\mathbb{N}_0\}$ is an orthonormal basis for the space $L^2([0,1])$ given that $e^{2\pi il x}$ forms a basis

Published on 17 Apr 2023 - 12:18

89

Views

A clarification regarding $L^p$ spaces, weak $L^p$ spaces, and convolution

Published on 17 Apr 2023 - 13:24

39

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Some Algebra In the Exponent of Inequalities arising in the Proof of Young's Inequality

Published on 17 Apr 2023 - 13:38

174

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Basis for L2 and Sobolev spaces

Published on 17 Apr 2023 - 17:22

173

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Computing a limit on the unit sphere: Riemann Lebesgue?

Published on 18 Apr 2023 - 18:06

76

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Is the Pontryagin map uniformly continuous?

Published on 26 Mar 2026 - 6:25

54

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Construct a special $C_0^\infty$ function

Published on 26 Mar 2026 - 13:40

46

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Uniqueness of Fourier transforms without absolute convergence

Published on 19 Apr 2023 - 21:33

List Question

Proving the existence of a specific linear operator using the Riesz Representation theorem

Decay of Fourier transform of test functions with fixed support

Directional Hardy-Littlewood maximal function

On different types of convergence of Fourier Series.

Functions with Fourier support in $[0,\infty)$.

Use of Plancherel theorem in classical Paley Wiener theorem

BMO is Banach Space

Showing that $\{\sqrt{2}\sin(\pi n x): n\in\mathbb{N}_0\}$ is an orthonormal basis for the space $L^2([0,1])$ given that $e^{2\pi il x}$ forms a basis

A clarification regarding $L^p$ spaces, weak $L^p$ spaces, and convolution

Some Algebra In the Exponent of Inequalities arising in the Proof of Young's Inequality

Basis for L2 and Sobolev spaces

Computing a limit on the unit sphere: Riemann Lebesgue?

Is the Pontryagin map uniformly continuous?

Construct a special $C_0^\infty$ function

Uniqueness of Fourier transforms without absolute convergence

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