Category:Series of Measures
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This category contains results about Series of Measures.
Let $\struct {X, \Sigma}$ be a measurable space.
Let $\sequence {\mu_n}_{n \mathop \in \N}$ be a sequence of measures on $\struct {X, \Sigma}$.
Let $\sequence {\lambda_n}_{n \mathop \in \N}$ be a sequence of positive real numbers.
Then the mapping $\mu: \Sigma \to \overline \R$, defined by:
- $\ds \map \mu E := \sum_{n \mathop \in \N} \lambda_n \map {\mu_n} E$
is called a series of measures.
Pages in category "Series of Measures"
The following 2 pages are in this category, out of 2 total.