Series de Fourier no armónicas

[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.

Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2023, Director: Joaquim Ortega Cerdà

Country

Spain

Related Organizations

University of Barcelona
Spain

Keywords

Sèries de Fourier, Functional analysis, Funcions de variables complexes, Anàlisi funcional, Bachelor's theses, Espais funcionals, Treballs de fi de grau, Function spaces, Fourier series, Functions of complex variables

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