Geodesic
Geometric minimality conditions for systems of exponentials in $L_p[-\pi,\pi]$
Matematičeskie zametki, Tome 58 (1995) no. 5, pp. 773-777.

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A proof is given of the stability theorem for minimal systems of exponentials $e(\Lambda)=\{e^{i\lambda x}\}_{\lambda\in\Lambda}$ in $L_p[-\pi,\pi]$, where $\Lambda\subset\mathbb C$ is a discrete subset. Geometric minimality conditions for such systems are obtained. 
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     title = {Geometric minimality conditions for systems of exponentials in $L_p[-\pi,\pi]$},
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M. Yu. Yurkin. Geometric minimality conditions for systems of exponentials in $L_p[-\pi,\pi]$. Matematičeskie zametki, Tome 58 (1995) no. 5, pp. 773-777. http://geodesic.mathdoc.fr/item/MZM_1995_58_5_a10/

[1] Levinson N., Gap and density theorems, Publ. Amer. Math. Soc., N. Y., 1940 | Zbl

[2] Kadets M. I., “Tochnoe znachenie postoyannoi Paleya–Vinera”, DAN SSSR, 155 (1964), 1253–1254 | MR | Zbl

[3] Sedletskii A. M., “O polnote i neminimalnosti sistem eksponent v $L_p[-\pi,\pi ]$”, Sib. matem. zhurn., 29:1 (1988), 159–170 | MR

[4] Avdonin S. A., “K voprosu o bazisakh Rissa iz pokazatelnykh funktsii”, Vestn. Leningr. un-ta. Ser. matem., 1974, no. 13, 5–12 | MR | Zbl

[5] Avdonin S. A., Joó I., “Riesz bases of exponenials and sine-type functions”, Acta Math. Hung., 51:1–2 (1988), 3–14 | DOI | MR | Zbl

[6] Boas R. P., Jr., Entire Functions, Academic Press, N. Y., 1954 | Zbl

[7] Sedletskii A. M., “Biortogonalnye razlozheniya funktsii v ryady eksponent na intervalakh veschestvennoi osi”, UMN, 37:5 (1982), 51–95 | MR