New posts in Distribution Theory

Approximation of Fermi-Dirac integral $\int \text{d}x \frac{f(x,\beta)}{1+e^{\beta x}}$

evil derivative

Why is it true that $\int_0^\infty \sin(qx) dx = 1/q$.

Motivation for test function topologies

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

compact support intuition needed

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

Definition of the convolution with tempered distributions and Schwartz function

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

Dirac's delta in 3 dimensions: proof of $\nabla^2(\|\boldsymbol{x}-\boldsymbol{x}_0\|^{-1})=-4\pi\delta(\boldsymbol{x}-\boldsymbol{x}_0)$