List questions from fourier-analysis

Published on 14 Apr 2026 - 11:40

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Young's inequality for convolution

Published on 14 Apr 2026 - 22:35

68

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Text on $\mathbb{T}^n$

Published on 10 Apr 2026 - 18:36

26

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solving an equation $\sum_{n=0}^{N-1}h(n)\mathrm{sin}[(n-\alpha)\omega+\beta]=0$

Published on 14 Apr 2026 - 20:09

360

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How to compute $p(x)=\prod_{k=0}^{n-1}(x-z_k)$ using the FFT with complexity of O(nlog^2 n)?

Published on 14 Apr 2026 - 15:56

849

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Fourier Transform is continuous on Schwartz space

Published on 11 Apr 2026 - 9:41

150

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Help with calculating Fourier transform of $\left(\frac{x-i}{x+i}\right)^{n}\cdot \frac{1}{(x^2+1)^{s}}$

Published on 16 Apr 2026 - 12:41

87

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Proving Corollary 1.5 in Katznelson's Intro to Harmonic Analysis

Published on 15 Apr 2026 - 12:41

9.7k

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Fourier Series for $f(x)=x^4$ when $x \in (-\pi, \pi)$

Published on 09 Apr 2026 - 23:22

3k

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How do basis functions work?

Published on 11 Apr 2026 - 16:37

29

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Bounds for the moments of complex geometric sums

Published on 26 Mar 2026 - 9:22

74

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On Fatous theorem and what it means in terms of approximate identities

Published on 10 Apr 2026 - 22:24

2k

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What is meant with 'Fourier mode'?

Published on 08 Apr 2026 - 17:52

693

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Find the fourier series representation of a function

Published on 13 Apr 2026 - 7:12

70

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Find the fourier coefficients of $x^2+1$

Published on 15 Apr 2026 - 17:10

List Question

Do function with a fast decaying tails have an oscillating Fourier transform?

Young's inequality for convolution

Text on $\mathbb{T}^n$

solving an equation $\sum_{n=0}^{N-1}h(n)\mathrm{sin}[(n-\alpha)\omega+\beta]=0$

How to compute $p(x)=\prod_{k=0}^{n-1}(x-z_k)$ using the FFT with complexity of O(nlog^2 n)?

Fourier Transform is continuous on Schwartz space

Help with calculating Fourier transform of $\left(\frac{x-i}{x+i}\right)^{n}\cdot \frac{1}{(x^2+1)^{s}}$

Proving Corollary 1.5 in Katznelson's Intro to Harmonic Analysis

Fourier Series for $f(x)=x^4$ when $x \in (-\pi, \pi)$

How do basis functions work?

Bounds for the moments of complex geometric sums

On Fatous theorem and what it means in terms of approximate identities

What is meant with 'Fourier mode'?

Find the fourier series representation of a function

Find the fourier coefficients of $x^2+1$

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