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3 Measurable sets and the Lebesgue measure 16 4 Measurable functions 27 4.1 Deflnition and basic properties 27 4.2 Approximation by simple functions or step functions 30 4.3 Littlewood’s three principles 33 5* The Brunn-Minkowski inequality 34 6 Exercises 37 7 Problems 46 Chapter 2. Integration Theory 49 1 The Lebesgue integral: basic ...
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