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Nível: Mestrado (Graduate level.).
Semestre: 2021 (verão)
Tipo de curso: Curso regular do Programa de Verão (Summer School)
Content: Measurable functions, Lebesgue's Dominated Convergence Theorem, Basic Convergence Theorems, Riesz Representation Theorem, Lp Spaces, Completeness of Lp Spaces, Radon-Nikodym Measures, Integration on Product Spaces, Fubini`s Theorem, Lebesgue Differentiation Theorem
References:
• BARTLE, R. – The Elementos of Integration, NewYork, J. Wiley, 1966.
• FERNANDEZ, P. – Medida e Integração. Rio de Janeiro, IMPA, Projeto Euclides, 1976.
• ISNARD, C. – Introdução à Medida e Integração. Projeto Euclides, IMPA, 2007.
• ROYDEN, M. – Real Analysis. New York, The MacMillan, 1963.
• RUDIN, W. – Real and Complex Analysis. New York, Mc-Graw Hill, 1966.
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