Geodesic
On unconditional exponential bases in weighted spaces on interval of real axis
Algebra i analiz, Tome 28 (2016) no. 5, pp. 195-219.

Voir la notice de l'article provenant de la source Math-Net.Ru

It is proved that if a weighted space $L_2(h)$ on the interval $(-1;1)$ admits an unconditional basis of exponentials, and the entire function that generates this basis satisfies a certain condition, then the space $L_2(h)$ is isomorphic (as a normed space) to the usual space $L_2$.
Keywords: Series of exponentials, unconditional basis, Hilbert space, entire functions. 
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K. P. Isaev; R. S. Yulmukhametov; A. A. Yunusov. On unconditional exponential bases in weighted spaces on interval of real axis. Algebra i analiz, Tome 28 (2016) no. 5, pp. 195-219. http://geodesic.mathdoc.fr/item/AA_2016_28_5_a4/

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