Cascante, Ma. Carme (Maria Carme)García González, Iker2022-06-102022-06-102022-01-24https://hdl.handle.net/2445/186530Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2022, Director: Ma. Carme Cascante[en] The aim of this work is to study Dirichlet series, as well as some of the function spaces that they form. We will see the convergence properties of these series and how they differ from power series, as well as other important properties. We will also study the HardyDirichlet spaces $\mathscr{H}^{\infty}$ and $\mathscr{H}^{2}$. Finally, we will study the relationship between Dirichlet series in these spaces and power series in an infinite number of variables in the poly-torus $\mathbb{T}^{\infty}$ and poly-disk $\mathbb{D}^{\infty}$.60 p.application/pdfengcc-by-nc-nd (c) Iker García González, 2022http://creativecommons.org/licenses/by-nc-nd/3.0/es/Sèries de DirichletTreballs de fi de grauEspais de HardyFuncions de variables complexesDirichlet seriesBachelor's thesesHardy spacesFunctions of complex variablesinfo:eu-repo/semantics/bachelorThesisinfo:eu-repo/semantics/openAccess