List questions from fourier-analysis

Published on 14 Apr 2026 - 14:17

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SOLVED: How do I create fourier series for $f(x)=x$ in the interval $[0, 2 \pi]$?

Published on 12 Apr 2026 - 2:14

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Diagonalizing the Laplace operator

Published on 09 Apr 2026 - 18:01

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Invertible element of the Paley-Wiener space

Published on 17 Apr 2026 - 8:44

103

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Do the functions $e^{-i\omega t}$ form an orthonormal basis of $L^1(\mathbb{R}$?

Published on 14 Apr 2026 - 22:10

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Discrete Convolution of Continuous Fourier Coefficients

Published on 12 Apr 2026 - 11:33

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Is there an equivalent to $\|f \ast g\|_p \leq \|f\|_1 \|g\|_p$ on groups?

Published on 15 Apr 2026 - 7:51

84

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Standard deviation is diverging... I've made some mistake.

Published on 14 Apr 2026 - 6:04

453

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Inverse Laplace transform of asymptotic expansion

Published on 16 Apr 2026 - 20:29

51

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2D-Fourier transform of $(r,\theta) \mapsto (1 + \mathrm{i} \cos ( \theta ))^{-1}$?

Published on 15 Apr 2026 - 22:18

90

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Why $\mathbb{Z}$ is not dense in the maximal ideal space of $\mathcal{M}(\mathbb{T})$?

Published on 15 Apr 2026 - 4:20

400

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Orthogonality of Complex Exponentials over Integer Lattices.

Published on 09 Apr 2026 - 21:28

111

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Duality lemma for bilinear sums

Published on 12 Apr 2026 - 5:16

52

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Show that $\widehat{\delta_{-1} f} = \delta_{-1} \hat{f}$

Published on 14 Apr 2026 - 18:49

399

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"Analytic Continuation" of the Convolution Operator?

Published on 09 Apr 2026 - 3:43

List Question

On proving Herlgotz representation of analytic function with positive real part.

SOLVED: How do I create fourier series for $f(x)=x$ in the interval $[0, 2 \pi]$?

Diagonalizing the Laplace operator

Invertible element of the Paley-Wiener space

Do the functions $e^{-i\omega t}$ form an orthonormal basis of $L^1(\mathbb{R}$?

Discrete Convolution of Continuous Fourier Coefficients

Is there an equivalent to $\|f \ast g\|_p \leq \|f\|_1 \|g\|_p$ on groups?

Standard deviation is diverging... I've made some mistake.

Inverse Laplace transform of asymptotic expansion

2D-Fourier transform of $(r,\theta) \mapsto (1 + \mathrm{i} \cos ( \theta ))^{-1}$?

Why $\mathbb{Z}$ is not dense in the maximal ideal space of $\mathcal{M}(\mathbb{T})$?

Orthogonality of Complex Exponentials over Integer Lattices.

Duality lemma for bilinear sums

Show that $\widehat{\delta_{-1} f} = \delta_{-1} \hat{f}$

"Analytic Continuation" of the Convolution Operator?

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