Category:Examples of Test Functions

This category contains examples of Test Function.

Let $\phi : \R^d \to \C$ be a complex-valued function.

Let $K \subseteq \R^d$ be a compact subset.

Let $K$ be the support of $\phi$:

$\map \supp \phi = K$

Let $\phi$ be a smooth function across $K$ with respect to all its variables.

Then $\phi$ is known as a test function.