Carro Rossell, María JesúsDomènech i Gironell, Gerard2017-03-212017-03-212016-06-26https://hdl.handle.net/2445/108662Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2016, Director: María Jesús Carro RossellWe 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.54 p.application/pdfspacc-by-nc-nd (c) Gerard Domènech i Gironell, 2016http://creativecommons.org/licenses/by-nc-nd/3.0/esFuncions vectorialsTreballs de fi de grauAnàlisi matemàticaFuncions de variables realsTeoria de la mesuraVector valued functionsBachelor's thesesMathematical analysisFunctions of real variablesMeasure theoryinfo:eu-repo/semantics/bachelorThesisinfo:eu-repo/semantics/openAccess