List questions from fourier-analysis

Published on 13 May 2019 - 4:01

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Prove $\sum_{0<|n|\leq N}\frac{e^{inx}}{n}$ is uniformly bounded in $N$ and $x\in[-\pi,\pi]$.

Published on 13 May 2019 - 6:42

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Finding the sum of another Fourier series using Parseval's identity

Published on 29 Mar 2026 - 12:52

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Given a time-dependent function, complete it and find $c_0$

Published on 25 Mar 2026 - 16:05

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Modified Airy functions

Published on 24 Feb 2026 - 0:39

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Simulate a sample function with known power spectrum

Published on 25 Mar 2026 - 9:33

50

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Does wavelet transform have any corresponding homomorphism space?

Published on 25 Mar 2026 - 1:15

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Basis for subset of $\mathcal{L}^2(\mathbb{R})$ with the help of Fourier transform

Published on 25 Mar 2026 - 1:17

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How to understand the convergence of Fourier Series in $L^p$

Published on 30 Mar 2026 - 16:45

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Fourier Stieltjes series of a positive measure

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What is the Fourier transform of $\frac{x}{(x^2+y^2)^{n/2}}$?

Published on 29 Mar 2026 - 22:13

438

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meaning of double headed arrow

Published on 26 Mar 2026 - 6:25

90

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Fourier series Parseval equality with partial sums

Published on 29 Mar 2026 - 14:28

388

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Show that $\int_{-\infty}^{\infty}|f(x)|^2dx = \frac{1}{2\pi}\int_{-\infty}^{\infty}|\hat{f}(\mu)|^2d\mu$

Published on 29 Mar 2026 - 22:08

46

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What is $\sup_\limits{E\subset[-\pi,\pi)}\left|\int_Ee^{it}\,dt\right|$?

Published on 18 May 2019 - 15:31

List Question

Fourier Analysis an Introduction Chap4 12

Prove $\sum_{0<|n|\leq N}\frac{e^{inx}}{n}$ is uniformly bounded in $N$ and $x\in[-\pi,\pi]$.

Finding the sum of another Fourier series using Parseval's identity

Given a time-dependent function, complete it and find $c_0$

Modified Airy functions

Simulate a sample function with known power spectrum

Does wavelet transform have any corresponding homomorphism space?

Basis for subset of $\mathcal{L}^2(\mathbb{R})$ with the help of Fourier transform

How to understand the convergence of Fourier Series in $L^p$

Fourier Stieltjes series of a positive measure

What is the Fourier transform of $\frac{x}{(x^2+y^2)^{n/2}}$?

meaning of double headed arrow

Fourier series Parseval equality with partial sums

Show that $\int_{-\infty}^{\infty}|f(x)|^2dx = \frac{1}{2\pi}\int_{-\infty}^{\infty}|\hat{f}(\mu)|^2d\mu$

What is $\sup_\limits{E\subset[-\pi,\pi)}\left|\int_Ee^{it}\,dt\right|$?

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