Compact Support

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 f:x->x^2 in its entire domain (i.e., f:R->R^+) does not have compact support, while any bump function does have compact support.

See also

Bump Function, Compact Set, Global Support, Support

Portions of this entry contributed by Todd Rowland

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Cite this as:

Rowland, Todd and Weisstein, Eric W. "Compact Support." From MathWorld--A Wolfram Web Resource.

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