Let 
be a positive measure on a sigma-algebra 
, and let 
be an arbitrary (real or complex) measure
on 
. If there is a set 
such that 
for every 
, then 
is said to be concentrated on 
. This is equivalent to requiring that 
whenever 
.
Concentrated
See also
Absolutely Continuous, Mutually SingularExplore with Wolfram|Alpha
References
Rudin, W. Functional Analysis, 2nd ed. New York: McGraw-Hill, p. 121, 1991.Referenced on Wolfram|Alpha
ConcentratedCite this as:
Weisstein, Eric W. "Concentrated." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Concentrated.html