Category:Definitions/Test Functions

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This category contains definitions related to Test Functions.
Related results can be found in Category:Test Functions.

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.