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Introduction to Measure Theory and Integration

2011; Linguagem: Inglês

10.1007/978-88-7642-386-4

Luigi Ambrosio, Giuseppe Da Prato, Andrea Mennucci,

Mathematical Approximation and Integration

Measure spaces -- Integration -- Spaces of measurable functions -- Hilbert spaces -- Fourier series -- Operations on measures -- The fundamental theorem of integral calculus -- Operations on measures -- Appendix: Riesz representation theorem of the dual of C(K) and integrals depending on a parameter -- Solutions to the exercises.