On unconditional bases of exponentials in weighted spaces on an interval of the real axis

Isaev, K.; Yulmukhametov, R.; Yunusov, A.

doi:10.1090/spmj/1467

On unconditional bases of exponentials in weighted spaces on an interval of the real axis
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by K. P. Isaev, R. S. Yulmukhametov and A. A. Yunusov
Translated by: N. N. Osipov

St. Petersburg Math. J. 28 (2017), 689-706

DOI: https://doi.org/10.1090/spmj/1467

Published electronically: July 25, 2017

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Abstract:

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 $L_2$.

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