View source for Discrete measure

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A measure concentrated on a set which is at most countable. More generally, let $\lambda$ and $\mu$ be measures (usually with alternating signs) defined on a semi-ring of sets (with its $\sigma$-ring of measurable sets). The measure $\lambda$ is said to be a discrete measure with respect to the measure $\mu$ if $\lambda$ is concentrated on a set of $\mu$-measure zero which is at most countable and any one-point subset of which is $\lambda$-measurable. For instance, the discrete Lebesgue–Stieltjes measure $\lambda$ of linear sets is equal on half-intervals to the increment of some jump function, which is of bounded variation if $\lambda$ is bounded, and which is non-decreasing if $\lambda$ is non-negative.

====References====
<table><TR><TD valign="top">[1]</TD> <TD valign="top">  A.N. Kolmogorov,   S.V. Fomin,   "Elements of the theory of functions and functional analysis" , '''1–2''' , Graylock  (1957–1961)  (Translated from Russian)</TD></TR></table>