A function has compact support if it is zero outside of a compact set. Alternatively, one can say that a function has compact support if its support is a compact set. For example, the function in its entire domain (i.e., ) does not have compact support, while any bump function does have compact support.

# Compact Support

## See also

Bump Function, Compact Set, Global Support, Support
*Portions of this entry contributed by Todd
Rowland*

## Explore with Wolfram|Alpha

## Cite this as:

Rowland, Todd and Weisstein, Eric W. "Compact Support." From *MathWorld*--A
Wolfram Web Resource. https://mathworld.wolfram.com/CompactSupport.html