List questions from fourier-analysis

Published on 11 Apr 2026 - 14:56

35

Views

How to sample continuous signal correctly?

Published on 12 Apr 2026 - 12:21

68

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Can $\sum_{n=1}^N A_n e^{i\omega_n x} $ $\to 0$ as $x\to \infty$ for some $\{A_n \} \subset \mathbb{C}- \{0\}$?

Published on 24 Feb 2020 - 15:12

127

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$\{f\in L^2(S^1):\lim_{n\rightarrow\infty}\Lambda_n(f)\text{ exists}\}\subseteq L^2(S^1)$ is a dense subspace of first category.

Published on 01 Apr 2026 - 4:39

122

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Find the Inverse Fourier Transform of $ \frac{6 \exp(4iw) \sin(2w)}{ 9 + w²} $

Published on 01 Apr 2026 - 4:39

20

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Convergence of an infinite series $\sum_{n\geq 2}v_nw_n n^3$

Published on 25 Mar 2026 - 12:28

253

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What is the Fourier transform of a sequence of random variables?

Published on 11 Apr 2026 - 20:26

19

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Finding the Fourier expansion of $f$ using its periodicity and definition on an interval.

Published on 08 Apr 2026 - 17:37

40

Views

Imagining the derivative of the dirac delta function

Published on 13 Apr 2026 - 5:02

40

Views

Fourier transform: how did my book derive this?

Published on 13 Apr 2026 - 8:22

28

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Question about Sets of Divergence

Published on 13 Apr 2026 - 1:22

256

Views

Fourier Transform and Dihedral Group

Published on 11 Apr 2026 - 0:33

53

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What is the result of $\delta'*H$?

Published on 10 Apr 2026 - 19:48

84

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Why does the naive definition of fourier transform on $L^2$ fail?

Published on 13 Apr 2026 - 10:57

918

Views

Why is the Fourier series of a continuously differentiable function absolutely convergent?

Published on 13 Apr 2026 - 11:13

List Question

Fourier series of a weird piecewise function

How to sample continuous signal correctly?

Can $\sum_{n=1}^N A_n e^{i\omega_n x} $ $\to 0$ as $x\to \infty$ for some $\{A_n \} \subset \mathbb{C}- \{0\}$?

$\{f\in L^2(S^1):\lim_{n\rightarrow\infty}\Lambda_n(f)\text{ exists}\}\subseteq L^2(S^1)$ is a dense subspace of first category.

Find the Inverse Fourier Transform of $ \frac{6 \exp(4iw) \sin(2w)}{ 9 + w²} $

Convergence of an infinite series $\sum_{n\geq 2}v_nw_n n^3$

What is the Fourier transform of a sequence of random variables?

Finding the Fourier expansion of $f$ using its periodicity and definition on an interval.

Imagining the derivative of the dirac delta function

Fourier transform: how did my book derive this?

Question about Sets of Divergence

Fourier Transform and Dihedral Group

What is the result of $\delta'*H$?

Why does the naive definition of fourier transform on $L^2$ fail?

Why is the Fourier series of a continuously differentiable function absolutely convergent?

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