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... Differentiation and integration The I.ebesgue Set Chapter Abstract Measure Spaces 5.1 Measures and Outer Measures 5.2 Extension of a Measure 5.3 Uniqueness of the Extension 5.4 Completion of a Measure 5.5 Measure. .. Chapter 10 Measure and Integration in a Product Space 10.1 Measurability in a Product Space 10.2 The Product Measure and Fubini's Theorem 10.3 Lebesgue Measure in Euclidean Space 10.4 Laplace and Fourier... teaching and research related to aspects of operator theory and measure theory involving ideas from the material in this book He has enjoyed teaching university mathematics at all undergraduate and