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Research Papers
On unconditional exponential bases in weighted spaces on interval of real axis
K. P. Isaevab, R. S. Yulmukhametovab, A. A. Yunusovb a Institution of Russian Academy of Sciences Institute of Mathematics with Computer Center, Ufa, Russia
b Bashkir State University, Ufa, Russia
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 $L_2$.
Keywords:
Series of exponentials, unconditional basis, Hilbert space, entire functions.
Received: 10.01.2016
Citation:
K. P. Isaev, R. S. Yulmukhametov, A. A. Yunusov, “On unconditional exponential bases in weighted spaces on interval of real axis”, Algebra i Analiz, 28:5 (2016), 195–219; St. Petersburg Math. J., 28:5 (2017), 689–706
Linking options:
https://www.mathnet.ru/eng/aa1509 https://www.mathnet.ru/eng/aa/v28/i5/p195
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Abstract page: | 365 | Full-text PDF : | 74 | References: | 58 | First page: | 26 |
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