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Algebra i Analiz, 2016, Volume 28, Issue 5, Pages 195–219 (Mi aa1509)  
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
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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 $L_2$.
Keywords: Series of exponentials, unconditional basis, Hilbert space, entire functions.
Received: 10.01.2016
English version:
St. Petersburg Mathematical Journal, 2017, Volume 28, Issue 5, Pages 689–706
DOI: https://doi.org/10.1090/spmj/1467
Bibliographic databases:
Document Type: Article
Language: Russian
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
Citation in format AMSBIB
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    		Алгебра и анализ St. Petersburg Mathematical Journal
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