List questions from fourier-analysis

Published on 26 Mar 2026 - 16:22

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Fourier Series of $\ f(x)=1-x^2\ $ Verification

Published on 26 Mar 2026 - 14:34

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dc offset in discontinous functions

Published on 14 Jun 2018 - 19:10

322

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Proving that a function related to the Fourier transform of the unit ball is in $L^1(\mathbb{R}^3)$

Published on 25 Mar 2026 - 23:11

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Fourier transform of distributions on the circle

Published on 26 Mar 2026 - 16:26

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How Fourier coefficients of $\sum_{k\in \mathbb Z} g(x+ 2k\pi)$ and $\sum_{k\in \mathbb Z} g(x+ (2k+1)\pi) $ are related?

Published on 26 Mar 2026 - 14:34

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Zeroes of the Fourier transform of bump functions

Published on 29 Mar 2026 - 19:11

120

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How to show that a function defines a tempered distribution and compute the Fourier transform

Published on 25 Mar 2026 - 12:29

314

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Are the local minima of the absolute value of the Fourier transform of a smooth function with compact support all zeros?

Published on 29 Mar 2026 - 16:00

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Fourier transforms of images

Published on 26 Mar 2026 - 23:42

76

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Where is the phase information coded in Fourier Transform?

Published on 26 Mar 2026 - 16:10

122

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Orthogonality relations for short-time fourier transform

Published on 26 Mar 2026 - 19:08

702

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Fourier transform of $t H(t)$

Published on 19 Jun 2018 - 19:35

53

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Why does $\lim_{|x|\to\infty}|x|^n f(x)=0$ implies $f\in L^1(\mathbb{R}^n;\mathbb{C})$?

Published on 26 Mar 2026 - 7:38

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Finding the solution for an operator in an equation

Published on 25 Mar 2026 - 12:22

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Roadmap to the Carleson-Hunt theorem

Fourier Series of $\ f(x)=1-x^2\ $ Verification

dc offset in discontinous functions

Proving that a function related to the Fourier transform of the unit ball is in $L^1(\mathbb{R}^3)$

Fourier transform of distributions on the circle

How Fourier coefficients of $\sum_{k\in \mathbb Z} g(x+ 2k\pi)$ and $\sum_{k\in \mathbb Z} g(x+ (2k+1)\pi) $ are related?

Zeroes of the Fourier transform of bump functions

How to show that a function defines a tempered distribution and compute the Fourier transform

Are the local minima of the absolute value of the Fourier transform of a smooth function with compact support all zeros?

Fourier transforms of images

Where is the phase information coded in Fourier Transform?

Orthogonality relations for short-time fourier transform

Fourier transform of $t H(t)$

Why does $\lim_{|x|\to\infty}|x|^n f(x)=0$ implies $f\in L^1(\mathbb{R}^n;\mathbb{C})$?

Finding the solution for an operator in an equation

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