Question

Convolution of two compact support functions

score 164 · Answer 1 · 2026-04-29 12:50:42

164

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Convolution of two compact support functions

Published on 29 Apr 2026 - 12:50

score 175 · Answer 2 · 2026-05-07 12:41:30

175

Views

Is it possible to "re-normalize" a Dirac delta function?

Published on 07 May 2026 - 12:41

score 54 · Answer 3 · 2026-04-29 12:50:44

54

Views

An exercise on the derivation of distributions: $\frac{d^m}{dx^m} \Big( H(x) \frac {x^{m-1}}{(m-1)!}\Big)$

Published on 29 Apr 2026 - 12:50

score 338 · Answer 4 · 2026-04-10 15:35:11

338

Views

Taylor expansion of smooth function with compact support

Published on 10 Apr 2026 - 15:35

score 162 · Answer 5 · 2026-04-29 12:50:54

162

Views

limit and derivative of $F_n: <F_n|\phi> = \int_0^\infty dx \sin^2(nx) \phi(x)$

Published on 29 Apr 2026 - 12:50

score 92 · Answer 6 · 2026-04-29 12:50:41

92

Views

Is there a difference between the fourier transform on a distribution and on a function?

Published on 29 Apr 2026 - 12:50

score 132 · Answer 7 · 2026-04-29 12:51:16

132

Views

convergence is space of test functions and distributions

Published on 29 Apr 2026 - 12:51

score 219 · Answer 8 · 2026-04-29 12:51:15

219

Views

Equivalence of Fourier Transform Regularizations

Published on 29 Apr 2026 - 12:51

score 81 · Answer 9 · 2026-05-01 19:50:44

81

Views

Prove that if $f \in \mathcal L^1(\mathbb R)$ then $fx^n \in \mathcal S'(\mathbb{R})$

Published on 01 May 2026 - 19:50

score 341 · Answer 10 · 2026-04-29 12:51:08

341

Views

An identity on $\delta(x+y)$?

Published on 29 Apr 2026 - 12:51

score 36 · Answer 11 · 2026-04-14 15:50:39

Show that functions $\varphi \otimes \psi$ with disjoint supports are dense in $C_0^\infty(\Omega \times \Omega \setminus \text{diag} (\Omega))$

score 94 · Answer 12 · 2026-04-29 12:50:39

94

Views

Fourier transform, series, distribution: $F\phi=\sum_{n \in \mathbb{Z}} \phi(n), ~~~~~ \phi \in \mathcal S(\mathbb{R})$

Published on 29 Apr 2026 - 12:50

score 219 · Answer 13 · 2026-04-29 12:50:13

219

Views

Schwartz kernel theorem and order of distribution

Published on 29 Apr 2026 - 12:50

score 260 · Answer 14 · 2026-04-29 12:50:44

260

Views

Integration of the product of a function and the Heaviside function

Published on 29 Apr 2026 - 12:50

score 71 · Answer 15 · 2026-04-29 12:50:43

71

Views

Neumann DBAR problem with tempered distributions

Published on 29 Apr 2026 - 12:50

List Question

Convolution of two compact support functions

Is it possible to "re-normalize" a Dirac delta function?

An exercise on the derivation of distributions: $\frac{d^m}{dx^m} \Big( H(x) \frac {x^{m-1}}{(m-1)!}\Big)$

Taylor expansion of smooth function with compact support

limit and derivative of $F_n: <F_n|\phi> = \int_0^\infty dx \sin^2(nx) \phi(x)$

Is there a difference between the fourier transform on a distribution and on a function?

convergence is space of test functions and distributions

Equivalence of Fourier Transform Regularizations

Prove that if $f \in \mathcal L^1(\mathbb R)$ then $fx^n \in \mathcal S'(\mathbb{R})$

An identity on $\delta(x+y)$?

Show that functions $\varphi \otimes \psi$ with disjoint supports are dense in $C_0^\infty(\Omega \times \Omega \setminus \text{diag} (\Omega))$

Fourier transform, series, distribution: $F\phi=\sum_{n \in \mathbb{Z}} \phi(n), ~~~~~ \phi \in \mathcal S(\mathbb{R})$

Schwartz kernel theorem and order of distribution

Integration of the product of a function and the Heaviside function

Neumann DBAR problem with tempered distributions

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