REAL FUNCTIONS AND MEASURE THEORY -- RFM
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Prerequisite: calculus; some elementary knowledge of
topology and linear algebra is desirable.
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Course description: This course provides an
introduction into the Lebesgue theory of real functions and measures.
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Topics:
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Borel measures, linear functionals, the Riesz theorem.
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L p spaces.
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The Baire category theorem, applications.
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Bounded variation and absolute continuity. The
Radon-Nikodym theorem.
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Differentiation of measures and functions. Density.