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Title: De medidas positivas a medidas vectoriales
Author: Domènech i Gironell, Gerard
Director: Carro Rossell, María Jesús
Keywords: Funcions vectorials
Treballs de fi de grau
Anàlisi matemàtica
Funcions de variables reals
Teoria de la mesura
Vector valued functions
Bachelor's thesis
Mathematical analysis
Functions of real variables
Measure theory
Issue Date: 26-Jun-2016
Abstract: We present a theoretical study of signed measures, complex measures and vector measures. The study is focused on the Radon-Nikodym Theorem and the Riesz representation Theorem (its various versions). Complex Radon measures over locally compact Hausdorff spaces are extensively treated. Regarding vector measures, we aim to provide a vision deep enough on Bochner integration to prove that vector extensions of the latter theorems are not generally true and to discuss when they are.
Note: Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2016, Director: María Jesús Carro Rossell
Appears in Collections:Treballs Finals de Grau (TFG) - Matemàtiques

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