List questions from fourier-analysis

Published on 29 Mar 2026 - 17:25

59

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Showing that $u\in H^k(\mathbb{R}^n)\Leftrightarrow <\xi>^k\hat{u}\in L^2(\mathbb{R}^n)$ Taylor Michael.

Published on 30 Mar 2026 - 3:38

50

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Orthogonal bases for $L^2(0,1)$

Published on 27 Mar 2026 - 13:19

71

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"Circulant" matrices of arbitrary step size, do they also have special basis?

Published on 25 Mar 2026 - 1:16

64

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How to identify / measure the acceleration of a chirp?

Published on 31 Mar 2026 - 11:26

127

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Difference between characteristic function and F_transform

Published on 26 Mar 2026 - 14:26

324

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Cyclic vector for the left regular representation

Published on 30 Mar 2026 - 20:50

44

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$\int_0^{2\pi} \left| \sum_{n\in \mathbb N} e^{-nt} e^{in\theta} \right| d\theta \leq C(t) C'$?

Published on 29 Mar 2026 - 17:25

48

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Piecewise Continuous Functions and Function Spaces

Published on 29 Mar 2026 - 17:23

714

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Proof of $\sum_{n=1}^{\infty}\frac{1}{n^2}=\frac{\pi^2}{6}$

Published on 20 Jun 2019 - 11:07

939

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Reconstructing a function given its Fourier coefficients

Published on 29 Mar 2026 - 17:25

621

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Fourier transform of derivative when integrating by parts

Published on 30 Mar 2026 - 5:15

42

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Derivation of Fourier's inversion theorem from Fourier series

Published on 29 Mar 2026 - 19:11

74

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How to use hint $\hat{f}(x)=-\frac{1}{i \xi}\int i \xi e^{-i x \xi}f(x)dx$ to show Riemann Lebesgue Lemma

Published on 23 Jun 2019 - 21:21

54

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Evaluating a series of Gaussians and Sines

Published on 29 Mar 2026 - 19:11

List Question

show $ \sum^{\infty}_{-\infty} | c_n | < \infty \implies F_N f \to f \text{ uniformly}$

Showing that $u\in H^k(\mathbb{R}^n)\Leftrightarrow <\xi>^k\hat{u}\in L^2(\mathbb{R}^n)$ Taylor Michael.

Orthogonal bases for $L^2(0,1)$

"Circulant" matrices of arbitrary step size, do they also have special basis?

How to identify / measure the acceleration of a chirp?

Difference between characteristic function and F_transform

Cyclic vector for the left regular representation

$\int_0^{2\pi} \left| \sum_{n\in \mathbb N} e^{-nt} e^{in\theta} \right| d\theta \leq C(t) C'$?

Piecewise Continuous Functions and Function Spaces

Proof of $\sum_{n=1}^{\infty}\frac{1}{n^2}=\frac{\pi^2}{6}$

Reconstructing a function given its Fourier coefficients

Fourier transform of derivative when integrating by parts

Derivation of Fourier's inversion theorem from Fourier series

How to use hint $\hat{f}(x)=-\frac{1}{i \xi}\int i \xi e^{-i x \xi}f(x)dx$ to show Riemann Lebesgue Lemma

Evaluating a series of Gaussians and Sines

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