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https://dipositint.ub.edu/dspace/handle/2445/202522| Title: | Series de Fourier no armónicas |
| Author: | Arribas Viera, David |
| Director/Tutor: | Ortega Cerdà, Joaquim |
| Keywords: | Funcions de variables complexes Treballs de fi de grau Sèries de Fourier Anàlisi funcional Espais funcionals Functions of complex variables Bachelor's theses Fourier series Functional analysis Function spaces |
| Issue Date: | 13-Jun-2023 |
| Abstract: | [en] We study systems of exponentials as subsets of square-integrable functions on an interval, proving that if a set of frequencies is a small enough perturbation of the integers, then the associated system of exponentials is a Riesz basis. We also prove that this result can be extended to complex frequencies that lie in a horizontal strip in the complex plane. |
| Note: | Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2023, Director: Joaquim Ortega Cerdà |
| URI: | https://hdl.handle.net/2445/202522 |
| Appears in Collections: | Treballs Finals de Grau (TFG) - Matemàtiques |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| tfg_arribas_viera_david.pdf | Memòria | 832.4 kB | Adobe PDF | View/Open |
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