List questions from fourier-analysis

Published on 11 May 2026 - 8:16

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Is continuous $L_2(\mathbb R)$ functions are in $L_1(\mathbb{R})$?

Published on 29 Apr 2026 - 12:49

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Computing convolution using the Fourier transform

Published on 05 May 2026 - 19:47

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The linear partial differential operator with constant coefficient has no solution

Published on 12 May 2026 - 6:19

116

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A few basic questions on modular forms of congruence subgroups

Published on 05 May 2026 - 5:43

552

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Ergodicity of a skew product

Published on 29 Apr 2026 - 12:22

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Find Fourier Transform of $\cos^2(ωt)x(t)$

Published on 04 May 2026 - 19:07

110

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Fourier transforms in PDEs

Published on 11 May 2026 - 15:43

84

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Fourier Series on $L^1\left(\left[0,1\right)\right)\cap C\left(\left[0,1\right)\right)$

Published on 07 May 2026 - 10:10

316

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Parseval's Identity Proof Monotone/Dominated Convergence Theorem

Published on 29 Apr 2026 - 12:25

84

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Definition of $\log^- $ function

Published on 10 May 2026 - 14:00

207

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Self-convolution of $f(\vec{r}) = e^{-x^2-y^2}/r^2$

Published on 11 May 2026 - 14:53

59

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Riesz potential $I_{\alpha}\phi\notin L^2$ if $\frac{n}{2}<\alpha<n,$

Published on 12 May 2026 - 19:53

1.2k

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Proof of Fejer's lemma

Published on 03 May 2026 - 15:13

143

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Dirac / Fourier relation

Published on 10 May 2026 - 15:09

List Question

Fourier transformation of $\sin(ax)\exp(\frac{-x^2}{2})$

Is continuous $L_2(\mathbb R)$ functions are in $L_1(\mathbb{R})$?

Computing convolution using the Fourier transform

The linear partial differential operator with constant coefficient has no solution

A few basic questions on modular forms of congruence subgroups

Ergodicity of a skew product

Find Fourier Transform of $\cos^2(ωt)x(t)$

Fourier transforms in PDEs

Fourier Series on $L^1\left(\left[0,1\right)\right)\cap C\left(\left[0,1\right)\right)$

Parseval's Identity Proof Monotone/Dominated Convergence Theorem

Definition of $\log^- $ function

Self-convolution of $f(\vec{r}) = e^{-x^2-y^2}/r^2$

Riesz potential $I_{\alpha}\phi\notin L^2$ if $\frac{n}{2}<\alpha<n,$

Proof of Fejer's lemma

Dirac / Fourier relation

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