Geodesic
On the summability and convergence of non-harmonic Fourier series
Izvestiya. Mathematics , Tome 64 (2000) no. 3, pp. 583-600.

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We consider systems of exponentials that are orthogonal to measures $d\sigma$ of a special form on $(-a,a)$. Under certain conditions on the summation method, these systems form summation bases $L^p(-a,a)$ and in $C_0$ (the subspace of $C[-a,a]$ orthogonal to $d\sigma$). With respect to these systems, Lipschitzian functions in $C_0$ are expanded into non-harmonic Fourier series that converge uniformly on $[-a,a]$. 
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A. M. Sedletskii. On the summability and convergence of non-harmonic Fourier series. Izvestiya. Mathematics , Tome 64 (2000) no. 3, pp. 583-600. http://geodesic.mathdoc.fr/item/IM2_2000_64_3_a4/

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