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- W1966363432 abstract "A necessary and sufficient set of conditions that a function, E(a), from real numbers to subsets of a set S, be associated, as above, with a real-valued point function everywhere finite is 1. E(a) 4, as a T 21 En(l -n) = S,1 O' 1E (n) =0O; 3. EZ l2 E(a +1/n) =E((a) for every a. It is possible, therefore, to consider f(x) and E(a) as different aspects of the same function, one more natural for algebraic combinations of functions, and the other receiving emphasis in a theory of integration. However, one may restrict oneself entirely to the second aspect. For example, if A(a) =E [f(x)> a]," @default.
- W1966363432 created "2016-06-24" @default.
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- W1966363432 date "1942-01-01" @default.
- W1966363432 modified "2023-10-18" @default.
- W1966363432 title "Lebesgue theory on a Boolean algebra" @default.
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- W1966363432 doi "https://doi.org/10.1090/s0002-9947-1942-0006593-9" @default.
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