List questions from fourier-analysis

Published on 13 Apr 2026 - 13:22

52

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Simplifying the Fourier Series of $(a + b \cos(x))^{n}$

Published on 15 Apr 2026 - 7:35

46

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On the speed estimate of partial summation operators

Published on 13 Apr 2026 - 0:09

76

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Fourier vs Laplace transform

Published on 14 Apr 2026 - 12:23

52

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Exercise I.0.9 from Tenenbaum's "Introduction to analytic and probabilistic number theory"

Published on 16 Apr 2026 - 11:43

42

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Every simple functions in $L_p(\mathbb{T}) $ is a trigonometric polynomial.

Published on 16 Apr 2026 - 10:31

52

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The set $\{f \in \mathcal L^2(\mathbb R) : \hat f \in \mathcal C_c(\mathbb R)\}$ is dense in $\mathcal L^2(\mathbb R)$

Published on 16 Apr 2026 - 23:04

108

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Intuition for how linear superposition is related to the convolution theorem

Published on 13 Apr 2026 - 17:20

45

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Can anyone explain how the $\text{(magnitude)}^2$ can be calculated with multiplying $\frac{1}{1-ae^{jw}}$ from this DTFT?

Published on 25 Mar 2026 - 20:36

78

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What is the adelic Schwartz function that gives the xi function?

Published on 10 Apr 2026 - 22:32

95

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Is there a version of Parseval formula on $\mathbb{C}^n$?

Published on 26 Mar 2026 - 16:06

85

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An application of Holder's inequality involving the infinity norm

Published on 10 Apr 2026 - 21:42

49

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Fourier transform of $e^{ix^t A x}$?

Published on 13 Apr 2026 - 9:56

79

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Inequality for inner product in Hilbert space $L^2([0, 2 \pi])$

Published on 19 Apr 2026 - 21:36

49

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Injection of monomials of countable variables on $C(S^1)$

Published on 16 Apr 2026 - 10:03

List Question

Boundary of Convergence of $\sum_{n=2}^\infty\frac{z^{2^n}}{\log(n)}$

Simplifying the Fourier Series of $(a + b \cos(x))^{n}$

On the speed estimate of partial summation operators

Fourier vs Laplace transform

Exercise I.0.9 from Tenenbaum's "Introduction to analytic and probabilistic number theory"

Every simple functions in $L_p(\mathbb{T}) $ is a trigonometric polynomial.

The set $\{f \in \mathcal L^2(\mathbb R) : \hat f \in \mathcal C_c(\mathbb R)\}$ is dense in $\mathcal L^2(\mathbb R)$

Intuition for how linear superposition is related to the convolution theorem

Can anyone explain how the $\text{(magnitude)}^2$ can be calculated with multiplying $\frac{1}{1-ae^{jw}}$ from this DTFT?

What is the adelic Schwartz function that gives the xi function?

Is there a version of Parseval formula on $\mathbb{C}^n$?

An application of Holder's inequality involving the infinity norm

Fourier transform of $e^{ix^t A x}$?

Inequality for inner product in Hilbert space $L^2([0, 2 \pi])$

Injection of monomials of countable variables on $C(S^1)$

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