List questions from distribution-theory

Published on 08 Nov 2023 - 13:47

92

Views

Fourier transform of Cauchy kernel

Published on 02 Apr 2026 - 4:27

56

Views

Distributional differential equation

Published on 09 Nov 2023 - 23:44

104

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Why does this trick make the oscillating exponential integral converge?

Published on 11 Nov 2023 - 17:58

93

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Distribution vanishes outside the support?

Published on 12 Nov 2023 - 11:21

156

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Distributions with disjoint support

Published on 12 Nov 2023 - 13:34

87

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Are all distributions of the form $ \varphi \mapsto \int \varphi^{(n)} d\mu $?

Published on 12 Nov 2023 - 19:45

75

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Bony decomposition $|\partial^{\alpha}u\partial^{\beta}v|_{L^{2}}\leq const\cdot\Big(|u|_{L^{\infty}}|v|_{H^{s}}+|v|_{L^{\infty}}|u|_{H^{s}}\Big)$

Published on 13 Nov 2023 - 12:20

58

Views

Distributional solutions of $\dot X(t) = A(t) X(t)$

Published on 14 Nov 2023 - 12:42

82

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Find distribution solution of differential equation

Published on 15 Nov 2023 - 7:03

59

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Semi-regular kernels and distributions on open subset of $\mathbb R^n$

Published on 28 Mar 2026 - 14:05

67

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If $u$ is a distribution on the interval $(0, 1)$ such that $u' \in L^2 (I)$, then $u \in L^2 (I)$

Published on 20 Nov 2023 - 22:58

62

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Is the dual of the space of semi-regular distributions complete

Published on 02 Apr 2026 - 7:14

94

Views

Fourier transform of periodic distributions & local application of a result

Published on 01 Apr 2026 - 2:03

152

Views

Is $1/x$ a tempered distribution?

Published on 26 Mar 2026 - 16:57

List Question

Showing weak convergence for $sin^2(nx)$ and determining its limit distribution

Fourier transform of Cauchy kernel

Distributional differential equation

Why does this trick make the oscillating exponential integral converge?

Distribution vanishes outside the support?

Distributions with disjoint support

Are all distributions of the form $ \varphi \mapsto \int \varphi^{(n)} d\mu $?

Bony decomposition $|\partial^{\alpha}u\partial^{\beta}v|_{L^{2}}\leq const\cdot\Big(|u|_{L^{\infty}}|v|_{H^{s}}+|v|_{L^{\infty}}|u|_{H^{s}}\Big)$

Distributional solutions of $\dot X(t) = A(t) X(t)$

Find distribution solution of differential equation

Semi-regular kernels and distributions on open subset of $\mathbb R^n$

If $u$ is a distribution on the interval $(0, 1)$ such that $u' \in L^2 (I)$, then $u \in L^2 (I)$

Is the dual of the space of semi-regular distributions complete

Fourier transform of periodic distributions & local application of a result

Is $1/x$ a tempered distribution?

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