List questions from distribution-theory

Published on 29 Mar 2026 - 2:21

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create an example of i.i.d Bernoulli random variable

Published on 02 Dec 2019 - 22:18

85

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Operation between Fourier transform and convolution of locally integrable function

Published on 26 Mar 2026 - 2:41

31

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Distributional derivative of a continuous nonnegative function

Published on 04 Dec 2019 - 19:49

158

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Distributional derivative of the norm function

Published on 05 Dec 2019 - 9:50

39

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Solution of Helmholtz equation in three dimensional

Published on 05 Dec 2019 - 13:54

76

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Representation Theorem on $\mathcal{S}'(\mathbb{R}^{d})$

Published on 07 Dec 2019 - 22:04

110

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Show that $J_0(x) H(x)$ is also a Bessel Equation solution

Published on 08 Dec 2019 - 16:50

27

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Show that $[f' (t) ]^\vee = - [f^\vee (t)]'$, where the symbol $\vee$ is defined $\phi ^\vee(s) = \phi (-s)$.

Published on 08 Dec 2019 - 20:43

210

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Second distributional derivatives

Published on 09 Dec 2019 - 20:34

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Derivative of a step function

Published on 11 Dec 2019 - 17:51

537

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(Non)Examples of distributions

Published on 12 Dec 2019 - 20:47

180

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Convergence in $\mathcal{S}'$

Published on 27 Mar 2026 - 10:43

207

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Justify the idea of the Fourier transform of a tempered distribution

Published on 26 Mar 2026 - 0:53

126

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Find extension for distribution defined on $C_c^\infty(\mathbb R^n \setminus \{0\})$

Published on 16 Dec 2019 - 22:34

List Question

Distribution Theory

create an example of i.i.d Bernoulli random variable

Operation between Fourier transform and convolution of locally integrable function

Distributional derivative of a continuous nonnegative function

Distributional derivative of the norm function

Solution of Helmholtz equation in three dimensional

Representation Theorem on $\mathcal{S}'(\mathbb{R}^{d})$

Show that $J_0(x) H(x)$ is also a Bessel Equation solution

Show that $[f' (t) ]^\vee = - [f^\vee (t)]'$, where the symbol $\vee$ is defined $\phi ^\vee(s) = \phi (-s)$.

Second distributional derivatives

Derivative of a step function

(Non)Examples of distributions

Convergence in $\mathcal{S}'$

Justify the idea of the Fourier transform of a tempered distribution

Find extension for distribution defined on $C_c^\infty(\mathbb R^n \setminus \{0\})$

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