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http://hdl.handle.net/2445/108662| Title: | De medidas positivas a medidas vectoriales |
| Author: | Domènech i Gironell, Gerard |
| Director/Tutor: | 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 theses 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 |
| URI: | http://hdl.handle.net/2445/108662 |
| Appears in Collections: | Treballs Finals de Grau (TFG) - Matemàtiques |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| memoria.pdf | Memòria | 511.84 kB | Adobe PDF | View/Open |
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