Newbetuts

If $f\in L^1(\mathbb{R})$ is such that $\int_{\mathbb{R}}f\phi=0$ for all continuous compactly supported $\phi$, then $f\equiv 0$.

Gauss–Ostrogradsky formula for Distributions

Change of variables for a Dirac delta function

Prove that a distribution has its primitive distribution.

evil derivative

What's the Fourier transform of $\delta_{x-y^2}$

How to prove that $\lim_{k\to+\infty}\frac{\sin(kx)}{\pi x}=\delta(x)$?

Fourier transform of unit step function

Dirac delta distribution & integration against locally integrable function

Can Fourier transform be seen as a decomposition over a basis in a space of tempered distributions

How to prove that the Cantor ternary function is not weakly differentiable?

Proof that the limit of the normal distribution for a standard deviation approximating 0 is the dirac delta function.

Is this sequence bounded ? (An open problem between my schoolmates !)

Topology of test functions $\mathcal{D}(\mathbb R)$

New posts in distribution-theory

Equicontinuity and uniform boundedness for "distributions"

Why does the Dirac delta function satisfy $f(x)\delta(x-a) = f(a)\delta(x-a)$?

Distributions over locally compact Abelian groups: when can they be Fourier transformed?

Hölder continuity definition through distributions.

Can a "continuous" convex combination not be element of the convex hull?

What's the Fourier transform of these functions?

If $f\in L^1(\mathbb{R})$ is such that $\int_{\mathbb{R}}f\phi=0$ for all continuous compactly supported $\phi$, then $f\equiv 0$.

Gauss–Ostrogradsky formula for Distributions

Change of variables for a Dirac delta function

Prove that a distribution has its primitive distribution.

evil derivative

What's the Fourier transform of $\delta_{x-y^2}$

How to prove that $\lim_{k\to+\infty}\frac{\sin(kx)}{\pi x}=\delta(x)$?

Fourier transform of unit step function

Dirac delta distribution & integration against locally integrable function

Can Fourier transform be seen as a decomposition over a basis in a space of tempered distributions

How to prove that the Cantor ternary function is not weakly differentiable?

Proof that the limit of the normal distribution for a standard deviation approximating 0 is the dirac delta function.

Is this sequence bounded ? (An open problem between my schoolmates !)

Topology of test functions $\mathcal{D}(\mathbb R)$