List questions from distribution-theory

Published on 13 Apr 2020 - 13:33

22

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The meaning of a continuous distributional-valued function?

Published on 13 Apr 2020 - 18:27

50

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How do I show density in Sobolev Space?

Published on 14 Apr 2020 - 22:21

123

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showing the linear functional $\Lambda(\phi)= \sum_{k=1}^\infty k!D^k\phi(k)$ is a distribution

Published on 14 Apr 2020 - 23:29

58

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Antiderivative of $C_c^{\infty}(\mathbb R)$ function f is $C_c^{\infty}(\mathbb R)$ if and only if $\int_{\mathbb R} f=0$

Published on 17 Apr 2020 - 11:33

242

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even Schwartz function produces radial Schwartz function

Published on 26 Mar 2026 - 5:56

678

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Dirac delta function in polar coordinates

Published on 28 Mar 2026 - 13:20

1.2k

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uniform convergence of a Fourier series to a continuous periodic function on $[-\pi,\pi]$

Published on 20 Apr 2020 - 2:46

58

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Convergence of smoothing operators, Schwarz seminorms and mistakes in the book Modern Fourier Analysis

Published on 20 Apr 2020 - 7:38

91

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Reference for some facts relating on functional analysis on manifolds

Published on 21 Apr 2020 - 0:51

695

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Dirac distribution and Sobolev spaces

Published on 21 Apr 2020 - 8:56

455

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When is the distributional derivative a function?

Published on 21 Apr 2020 - 12:36

185

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Convolution of compactly supported distributions

Published on 23 Apr 2020 - 14:20

289

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Distribution theory and Shannon sampling theorem

Published on 26 Mar 2026 - 6:02

155

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Show that $\langle T, \varphi \rangle$ is a tempered distribution

Published on 26 Apr 2020 - 1:07

List Question

Distribution on n-dimensional torus

The meaning of a continuous distributional-valued function?

How do I show density in Sobolev Space?

showing the linear functional $\Lambda(\phi)= \sum_{k=1}^\infty k!D^k\phi(k)$ is a distribution

Antiderivative of $C_c^{\infty}(\mathbb R)$ function f is $C_c^{\infty}(\mathbb R)$ if and only if $\int_{\mathbb R} f=0$

even Schwartz function produces radial Schwartz function

Dirac delta function in polar coordinates

uniform convergence of a Fourier series to a continuous periodic function on $[-\pi,\pi]$

Convergence of smoothing operators, Schwarz seminorms and mistakes in the book Modern Fourier Analysis

Reference for some facts relating on functional analysis on manifolds

Dirac distribution and Sobolev spaces

When is the distributional derivative a function?

Convolution of compactly supported distributions

Distribution theory and Shannon sampling theorem

Show that $\langle T, \varphi \rangle$ is a tempered distribution

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