I would like references about theory of integrals of real functions with respect to additive (not necessary countable additive) measures defined on a field of sets.
How to integrate with respect to additive measure
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2[Dunford & Schwartz - Linear Operators](http://www.amazon.com/Linear-Operators-General-Classics-Library/dp/0471608483) develops some theory of integration with respect to additive measures. (Damn, I'm slow. =)) – 2012-03-24
1 Answers
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Theory of charges: a study of finitely additive measures by K. P. S. Bhaskara Rao and M. Bhaskara Rao.