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http://hdl.handle.net/2445/186530
Title: | Dirichlet series and Hardy spaces |
Author: | García González, Iker |
Director/Tutor: | Cascante, Ma. Carme (Maria Carme) |
Keywords: | Sèries de Dirichlet Treballs de fi de grau Espais de Hardy Funcions de variables complexes Dirichlet series Bachelor's theses Hardy spaces Functions of complex variables |
Issue Date: | 24-Jan-2022 |
Abstract: | [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 $\mathbb{D}^{\infty}$. |
Note: | Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2022, Director: Ma. Carme Cascante |
URI: | http://hdl.handle.net/2445/186530 |
Appears in Collections: | Treballs Finals de Grau (TFG) - Matemàtiques |
Files in This Item:
File | Description | Size | Format | |
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tfg_garcia_gonzalez_iker.pdf | Memòria | 1.73 MB | Adobe PDF | View/Open |
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