Volume I covers countless and element units, measurable units and features, the Lebesgue vital of a bounded functionality, square-summable capabilities, services of finite diversifications, the Stieltjes critical, completely contiguous services, and the indefinite Lebesgue vital. quantity II addresses singular integrals, trigonometric sequence, convex services, element units in two-dimensional area, measurable features of numerous variables and their integration, set capabilities and their functions within the idea of integration, transfinite numbers, the Baire type, yes generalizations of the Lebesgue imperative, and a few rules from sensible research. Many chapters characteristic difficult exercises.
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