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.
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3Dunford and Schwartz, for example. – t.b. Mar 24 '12 at 16:37
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2Dunford & Schwartz - Linear Operators develops some theory of integration with respect to additive measures. (Damn, I'm slow. =)) – Dejan Govc Mar 24 '12 at 16:39
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Theory of charges: a study of finitely additive measures by K. P. S. Bhaskara Rao and M. Bhaskara Rao.