List questions from fourier-analysis

Published on 28 Mar 2026 - 11:42

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Fourier-Transformation of Operator

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Integrability condition on the Fourier transform implies that the function is infinitely differentiable

Published on 06 Jul 2014 - 3:15

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Does there exists $f\in \mathcal{S} (\mathbb R)$ so $\hat{f}=1$ on a comapct set $C$ and $\hat{f}=0$ outside $C\subset W$ (open set)?

Published on 25 Mar 2026 - 21:54

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Fourier Transform-1

Published on 25 Mar 2026 - 6:07

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Let $\langle S, \psi \rangle=\sum_{n \in \mathbb N} \int_0^n \psi'(x)dx$. Is S a distribution?

Published on 28 Mar 2026 - 11:28

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Solving PDE via Fourier Transform & Uniqueness

Published on 26 Mar 2026 - 12:40

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Show that $u=\sum_{k=0}^\infty k^{-2} \delta_{1/k}$ is a distribution, but ...

Published on 08 Jul 2014 - 1:50

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missing $j*\omega$ in integral

Published on 27 Mar 2026 - 4:24

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Fourier series that converges in $L^2$ but not pointwise

Published on 08 Jul 2014 - 11:14

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$\int_{\mathbb R^{2}} |\int_{\mathbb R} (f(t-y)- f(t)) g(t-x) e^{-2\pi i w\cdot t} dt|dx dw \to 0 $ as $y\to 0$?

Published on 26 Mar 2026 - 17:53

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Is Fourier transform density preserving?

Published on 08 Jul 2014 - 19:06

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Proving that two functions involving integrals with Legendre polynomials are equal

Published on 25 Mar 2026 - 9:48

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Prove that $f_a$ doesn't depend on a.

Published on 09 Jul 2014 - 0:12

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Find $\lim_{k \to \infty} f_k$ where the limit is in distribution sense and

Published on 09 Jul 2014 - 3:31

List Question

Complex Integration: theorem of Residues

Fourier-Transformation of Operator

Integrability condition on the Fourier transform implies that the function is infinitely differentiable

Does there exists $f\in \mathcal{S} (\mathbb R)$ so $\hat{f}=1$ on a comapct set $C$ and $\hat{f}=0$ outside $C\subset W$ (open set)?

Fourier Transform-1

Let $\langle S, \psi \rangle=\sum_{n \in \mathbb N} \int_0^n \psi'(x)dx$. Is S a distribution?

Solving PDE via Fourier Transform & Uniqueness

Show that $u=\sum_{k=0}^\infty k^{-2} \delta_{1/k}$ is a distribution, but ...

missing $j*\omega$ in integral

Fourier series that converges in $L^2$ but not pointwise

$\int_{\mathbb R^{2}} |\int_{\mathbb R} (f(t-y)- f(t)) g(t-x) e^{-2\pi i w\cdot t} dt|dx dw \to 0 $ as $y\to 0$?

Is Fourier transform density preserving?

Proving that two functions involving integrals with Legendre polynomials are equal

Prove that $f_a$ doesn't depend on a.

Find $\lim_{k \to \infty} f_k$ where the limit is in distribution sense and

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