definition of compact support
By Emily Wilson •
According to ,
- 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.
My question is, which is the common definition of compact support, 1 or 2?
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$\begingroup$I would say that the former is slightly more simple to parse, in that for the latter, one must recall that the support of a function is the closure of the set of points where the function is non zero when the function is acting on a topological space, rather than just the set of points. The first is also slightly more common in my experience.
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