List questions from fourier-analysis

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Help to find complex Fourier series coefficient of this periodic function

Published on 15 Aug 2019 - 8:01

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Wiener-Khinchin theorem problem

Published on 15 Aug 2019 - 23:34

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Proof of Theorem 9.10 in Rudin's Real & Complex Analysis

Published on 25 Mar 2026 - 11:26

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The fourier series of periodic and real analytic function

Published on 16 Aug 2019 - 21:45

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Fourier Series for a Dirac Train

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$2\pi$-periodic $L^2$ functions on $R^1$ approximated by its Fourier series

Published on 19 Aug 2019 - 17:26

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If $f \in L^1(\mathbb{R})$ and its Fourier transform has compact support, then $f(x) = \sum_{n \in \mathbb{Z}} f(n)\operatorname{sinc}(x-n)$

Published on 30 Mar 2026 - 11:59

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Fourier Expansion of this Wave: $\psi(t)=\sin\left(2\pi at\ +\ \sin\left(2\pi bt\right)\right)$

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Fourier transform of $\frac{1}{\sinh(x+a)}$ for complex $a$

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38

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For every $f \in C(\mathbb{T})$, there exists a corresponding solution $u(x,t)$ to the heat equation on a ring under specific conditions

Published on 26 Mar 2026 - 9:27

522

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Steady-state of a system and Fourier Transform

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error estimation for the Fourier series of the fractional part of $x$

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76

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"Steady-state" of Error function using Fourier Transform

Published on 30 Mar 2026 - 13:34

302

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Why are variance and expected value all we care about?

Published on 26 Mar 2026 - 4:50

List Question

Multidimensional Fourier series

Help to find complex Fourier series coefficient of this periodic function

Wiener-Khinchin theorem problem

Proof of Theorem 9.10 in Rudin's Real & Complex Analysis

The fourier series of periodic and real analytic function

Fourier Series for a Dirac Train

$2\pi$-periodic $L^2$ functions on $R^1$ approximated by its Fourier series

If $f \in L^1(\mathbb{R})$ and its Fourier transform has compact support, then $f(x) = \sum_{n \in \mathbb{Z}} f(n)\operatorname{sinc}(x-n)$

Fourier Expansion of this Wave: $\psi(t)=\sin\left(2\pi at\ +\ \sin\left(2\pi bt\right)\right)$

Fourier transform of $\frac{1}{\sinh(x+a)}$ for complex $a$

For every $f \in C(\mathbb{T})$, there exists a corresponding solution $u(x,t)$ to the heat equation on a ring under specific conditions

Steady-state of a system and Fourier Transform

error estimation for the Fourier series of the fractional part of $x$

"Steady-state" of Error function using Fourier Transform

Why are variance and expected value all we care about?

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