In general, it is preferable to choose a mother wavelet that is continuously differentiable with compactly supported scaling function and high vanishing moments.

The Riesz potential can therefore be defined whenever "f" is a compactly supported distribution.

Strong homology is not compactly supported.

Suppose first that f is a compactly supported smooth function.

There are several simple forms of the trace formula, which restrict the compactly supported test functions f in some way .

By imposing the alternative restriction that F be compactly supported, one obtains another Paley-Wiener theorem.

Real-valued compactly supported smooth functions on a Euclidean space are called bump functions.

Let "C" be the space of all real-valued compactly supported continuous functions of "'R"'.

The value of a measure at a compactly supported function is then also by definition the integral of the function.

It can be shown that the convolution of a compactly supported function and a distribution is a smooth function.