PMATH 451 – LEC 0.50 – Course ID: 003348 – Measure and Integration

General measures, measurability, Caratheodory Extension theorem and construction of measures, integration theory, convergence theorems, Lp-spaces, absolute continuity, differentiation of monotone functions, Radon-Nikodym theorem, product measures, Fubini’s theorem, signed measures, Urysohn’s lemma, Riesz Representation theorems for classical Banach spaces. Prereq: PMATH 354/450 with a grade of at least 60%; Not open to General Mathematics students.




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