List questions from fourier-series

Published on 25 Mar 2026 - 5:06

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Bandlimited reconstruction of sampled periodic functions.

Published on 25 Mar 2026 - 12:53

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What does tilde on top of functions mean in fourier series and fourier transforms?

Published on 26 Mar 2026 - 8:00

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Periodic coefficients of Fourier series

Published on 08 Jul 2019 - 21:31

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$f$ period is $\frac{\pi}{m}$ when $m\in\mathbb{N}$, then its Fourier coefficients $a_n=b_n=0$ for $n\neq 2m\cdot k$.

Published on 10 Jul 2019 - 13:33

52

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Orthogonal function expansions and eigenvalues

Published on 25 Mar 2026 - 5:04

135

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How to calculate this integral $\int_{-\pi}^\pi \cos(rx) \cos(kx)dx$

Published on 12 Jul 2019 - 9:40

116

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Rewriting infinity as a limit to infinity (in terms of Fourier series)

Published on 13 Jul 2019 - 15:52

139

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how to find the discrete time fourier series of sin function

Published on 14 Jul 2019 - 16:13

889

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If $f \in C([-1,1])$ is an even function, then the Fourier coefficients $b_n = 0$

Published on 14 Jul 2019 - 19:50

130

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Discrete Fourrier transform

Published on 16 Jul 2019 - 11:53

565

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Good kernels that exist in the real world.

Published on 26 Mar 2026 - 12:53

43

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Preserving continuity of periodic functions under fractional-integration-type transformations

Published on 17 Jul 2019 - 0:32

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Is $\sum_{n \in \mathbb{Z}^d \backslash\{0\}} \mathrm{e}^{\mathrm{i} \langle x, n\rangle} / \lVert n \rVert^d$ discontinuous?

Published on 29 Mar 2026 - 8:35

54

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Fourier analysis - limit calculation

Published on 20 Jul 2019 - 19:42

List Question

On the orthogonal bases in $L^2[0,1]$

Bandlimited reconstruction of sampled periodic functions.

What does tilde on top of functions mean in fourier series and fourier transforms?

Periodic coefficients of Fourier series

$f$ period is $\frac{\pi}{m}$ when $m\in\mathbb{N}$, then its Fourier coefficients $a_n=b_n=0$ for $n\neq 2m\cdot k$.

Orthogonal function expansions and eigenvalues

How to calculate this integral $\int_{-\pi}^\pi \cos(rx) \cos(kx)dx$

Rewriting infinity as a limit to infinity (in terms of Fourier series)

how to find the discrete time fourier series of sin function

If $f \in C([-1,1])$ is an even function, then the Fourier coefficients $b_n = 0$

Discrete Fourrier transform

Good kernels that exist in the real world.

Preserving continuity of periodic functions under fractional-integration-type transformations

Is $\sum_{n \in \mathbb{Z}^d \backslash\{0\}} \mathrm{e}^{\mathrm{i} \langle x, n\rangle} / \lVert n \rVert^d$ discontinuous?

Fourier analysis - limit calculation

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