List questions from fourier-analysis

Published on 10 Apr 2026 - 5:17

117

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Show that $\sum_{n \neq 0} \frac{(-1)^{n+1}}{in} e^{in\theta} = 2 \sum_{n=1}^\infty (-1)^{n+1} \frac{\sin n\theta}{n}$.

Published on 15 Apr 2026 - 4:16

188

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does frequency scaling property of Fourier transform not work for Fourier series?

Published on 12 Apr 2026 - 17:07

890

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Find the Fourier Transform of $2x/(1+x^2)$

Published on 14 Apr 2026 - 7:53

822

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$L^{p}$ Boundedness of Fourier Multiplier without Littlewood-Paley

Published on 10 May 2026 - 14:07

87

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Self similarity function

Published on 12 Apr 2026 - 3:30

453

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Three-dimensional fourier transform for Biot-Savart law

Published on 12 Apr 2026 - 10:18

872

Views

A uniform bound by an integrable function for a Fourier series' partial sums.

Published on 13 Apr 2026 - 5:54

106

Views

Evaluating limit of a characteristic function (Fourier Transform) in $R^k$

Published on 13 Apr 2026 - 11:39

13.4k

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Inverse Fourier transform of Gaussian

Published on 12 Apr 2026 - 10:39

51

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How to show the following inequality with f(x) = 1/(1+x^2)?

Published on 14 Apr 2026 - 0:07

24.7k

Views

What are the limitations /shortcomings of Fourier Transform and Fourier Series?

Published on 14 Apr 2026 - 0:40

722

Views

Relation between Laplace and Fourier transform

Published on 11 Apr 2026 - 9:26

498

Views

Heat equation with heat source in form of delta function

Published on 10 Apr 2026 - 23:31

502

Views

Inequality for Ratio of Hardy-Littlewood Maximal Function over Balls and Cubes

Published on 15 Apr 2026 - 9:17

List Question

Fourier transform of indicator function

Show that $\sum_{n \neq 0} \frac{(-1)^{n+1}}{in} e^{in\theta} = 2 \sum_{n=1}^\infty (-1)^{n+1} \frac{\sin n\theta}{n}$.

does frequency scaling property of Fourier transform not work for Fourier series?

Find the Fourier Transform of $2x/(1+x^2)$

$L^{p}$ Boundedness of Fourier Multiplier without Littlewood-Paley

Self similarity function

Three-dimensional fourier transform for Biot-Savart law

A uniform bound by an integrable function for a Fourier series' partial sums.

Evaluating limit of a characteristic function (Fourier Transform) in $R^k$

Inverse Fourier transform of Gaussian

How to show the following inequality with f(x) = 1/(1+x^2)?

What are the limitations /shortcomings of Fourier Transform and Fourier Series?

Relation between Laplace and Fourier transform

Heat equation with heat source in form of delta function

Inequality for Ratio of Hardy-Littlewood Maximal Function over Balls and Cubes

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