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http://mathworld.wolfram.com/CompactSupport.html
Jan 02, 2020 · 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 in its entire domain (i.e.,) does not have compact support, while any bump function does have compact support.
https://en.wikipedia.org/wiki/Cohomology_with_compact_support
In mathematics, cohomology with compact support refers to certain cohomology theories, usually with some condition requiring that cocycles should have compact support.
https://www.sciencedirect.com/topics/mathematics/function-with-compact-support
B = C 00 (X) (continuous functions with compact support on a locally compact Hausdorff space X). B is a Stonian lattice ring of bounded functions. Any nonnegative linear functional on C 00 (X) (it is customary to term such a functional a positive Radon measure on X) is a Bourbaki integral on C 00 (X).
https://www.encyclopediaofmath.org/index.php/Function_of_compact_support
The support of is the closure of the set of points for which is different from zero . Thus one can also say that a function of compact support in is a function defined on such that its support is a closed bounded set located at a distance from the boundary of by a number greater than , where is sufficiently small.
https://www.encyclopediaofmath.org/index.php/Homology_with_compact_support
An exact theory has compact support if and only if for any pair the group is the direct limit , where runs through the compact pairs contained in . An exact homology theory with compact support is unique on the category of arbitrary (non-compact) polyhedral pairs for a …
https://math.stackexchange.com/questions/284045/example-of-a-function-with-compact-support
example of a function with compact support. Ask Question Asked 6 years, 11 months ago. ... Looking for a certain function with compact support. 3. Understanding why the domain of a distribution is defined to be smooth functions with compact support. Hot Network Questions
https://www.sciencedirect.com/science/article/pii/S0079816908602779
The chapter mentions that the Fourier transform of a continuous function with compact support can be extended to the complex space C n, as an entire analytic function of exponential type. The chapter also describes the analogy between Paley-Wiener theorem, and the theorem on the Fourier-Borel transformation of the analytic functionals.
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