Ortega Cerdà, JoaquimArribas Viera, David2023-10-052023-10-052023-06-13https://hdl.handle.net/2445/202522Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2023, Director: Joaquim Ortega Cerdà[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.54 p.application/pdfescc-by-nc-nd (c) David Arribas Viera, 2023http://creativecommons.org/licenses/by-nc-nd/3.0/es/Funcions de variables complexesTreballs de fi de grauSèries de FourierAnàlisi funcionalEspais funcionalsFunctions of complex variablesBachelor's thesesFourier seriesFunctional analysisFunction spacesinfo:eu-repo/semantics/bachelorThesisinfo:eu-repo/semantics/openAccess