List questions from harmonic-analysis

Published on 23 Feb 2026 - 15:30

157

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Solving Laplace Equation for non-rectangular domain

Published on 30 Mar 2026 - 2:59

49

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Completeness of $\delta_n = e_n + e_{n+1}$ with $e_n$ a complex exponential

Published on 24 Apr 2023 - 9:30

65

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Almost orthogonality in $L^p$ norm for functions with disjoint Fourier support?

Published on 24 Apr 2023 - 16:48

53

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Does this sum converge uniformly?

Published on 25 Apr 2023 - 4:45

128

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How are these two different definitions of the Poisson kernel on the n-torus related?

Published on 23 Feb 2026 - 3:29

62

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How to give a counterexample of this estimate related to Paley-Littlewood theorem?

Published on 31 Mar 2026 - 3:57

109

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Spatial localization of Littlewood--Paley decomposition. Proving the fractional Hardy inequality.

Published on 30 Mar 2026 - 21:40

50

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What goes wrong to allow for the appearance of the Dirac delta integral in standard physics calculations?

Published on 25 Mar 2026 - 10:57

107

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Product of locally Borel subsets is locally Borel

Published on 26 Mar 2026 - 6:22

35

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Bounding $\Vert f''(x)\mathrm{sech}(x)\Vert_{L^2(\mathbb{R})}$ for functions $f$ supported on small frequencies.

Published on 08 May 2023 - 18:30

28

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Cancellation property of kernel in singular integral

Published on 25 Mar 2026 - 3:22

54

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Proving mean value property for two dimensional harmonic functions without Divergence Theorem or complex calculus

Published on 30 Mar 2026 - 6:44

27

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Uniform convexity of the intersection of two uniform convex spaces

Published on 14 May 2023 - 18:51

121

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An exercise on Fourier Analysis with Dirichlet and Fejer kernels

Published on 15 May 2023 - 1:19

List Question

Fractional representation of fundamental solution

Solving Laplace Equation for non-rectangular domain

Completeness of $\delta_n = e_n + e_{n+1}$ with $e_n$ a complex exponential

Almost orthogonality in $L^p$ norm for functions with disjoint Fourier support?

Does this sum converge uniformly?

How are these two different definitions of the Poisson kernel on the n-torus related?

How to give a counterexample of this estimate related to Paley-Littlewood theorem?

Spatial localization of Littlewood--Paley decomposition. Proving the fractional Hardy inequality.

What goes wrong to allow for the appearance of the Dirac delta integral in standard physics calculations?

Product of locally Borel subsets is locally Borel

Bounding $\Vert f''(x)\mathrm{sech}(x)\Vert_{L^2(\mathbb{R})}$ for functions $f$ supported on small frequencies.

Cancellation property of kernel in singular integral

Proving mean value property for two dimensional harmonic functions without Divergence Theorem or complex calculus

Uniform convexity of the intersection of two uniform convex spaces

An exercise on Fourier Analysis with Dirichlet and Fejer kernels

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