A point-supported distribution is a distribution whose support of a distribution is a single point. These turn out to be precisely the sums of multiples of the delta distribution and its derivatives at that point (prop. below).
A distribution is point-supported if its support of a distribution is a singleton set:
for some .
Every point-supported distribution (def. ) with is a finite sum of multiplies of derivatives of the delta distribution at that point:
where , and for the order of .
(e.g. Hörmander 90, theorem 2.3.4)
Clearly a point-supported distribution is in particular a compactly supported distribution.
Created on August 6, 2017 at 18:31:01. See the history of this page for a list of all contributions to it.