On a class of non-harmonic Fourier series

• Autores: Hualiang Zhong, André Boivin
• Localización: Houston journal of mathematics, ISSN 0362-1588, Vol. 31, Nº 3, 2005, págs. 937-956
• Idioma: inglés
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• Resumen

  • In the theory of non-harmonic Fourier series, one-quarter theorems deal with basis, frames and/or series expansion properties under some extreme conditions. In this paper we show the existence of a series representation analogous to the Fourier series for square integrable functions in terms of system of complex exponentials when the sequence of exponents is close to the "extreme case" sequence {n+sign(n)¿}.