Geodesic
On biorthogonal expansions in exponential functions
Izvestiya. Mathematics , Tome 6 (1972) no. 3, pp. 579-586

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An equiconvergence theorem for nonharmonic Fourier series of the form $\sum a_ne^{i\lambda_nx}$ and ordinary Fourier series is proved for functions in $L^p(-\pi,\pi)$, $p>1$, when the exponents $\{\lambda_n\}$ are the roots of a member of a certain class of entire functions. 
@article{IM2_1972_6_3_a8,
     author = {A. M. Sedletskii},
     title = {On biorthogonal expansions in exponential functions},
     journal = {Izvestiya. Mathematics },
     pages = {579--586},
     publisher = {mathdoc},
     volume = {6},
     number = {3},
     year = {1972},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1972_6_3_a8/}
}
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A. M. Sedletskii. On biorthogonal expansions in exponential functions. Izvestiya. Mathematics , Tome 6 (1972) no. 3, pp. 579-586. http://geodesic.mathdoc.fr/item/IM2_1972_6_3_a8/